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Quantum Entanglement - Science topic

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This paper proposes a novel link between vacuum behavior near reflective electromagnetic boundaries and the apparent nonlocality observed in quantum entanglement collapse. Specifically, it suggests that regions of field cancellation caused by interference between incident and reflected electromagnetic waves-such as those near a perfect conductor-su...
Technical Report
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A transducer can in fact be instrumental in enabling superconducting quantum networks. Following are the salient points: Role of Transducers in Superconducting Quantum Networks 1. Microwave to Optical Frequency Transducers are engaged in the process of converting microwave signals utilized in superconducting qubits to optical signals transmitted ov...
Preprint
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We investigate the generation of quantum entanglement between a free electron and a single photon via Compton-like interactions and spontaneous emission analogues within cavity-free space. We propose a novel mechanism for post-collision entanglement detection using correlated spin and polarization measurements. Utilizing a fully relativistic treatm...
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This work proposes the Big Multiple Bang (BMB) Model, a quantum-geometric framework for cosmogenesis in which the early universe, reaching peak curvature, fragmented into multiple inflationary pockets-Bang Domains. These domains evolved independently through local curvature dissipation governed by a scalar field called the relaxon, while their beha...
Preprint
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Yannick-Leon Kardeis's expansive investigation of the Riemann Zeta function explores the hypothesis that the critical line and non-trivial zeros of zeta form a fractal and chiral system encoded with universal symmetry. Bridging complex analysis, prime number theory, quantum mechanics, spectral analysis, and materials science, this work positions th...
Article
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Quantum measurement plays crucial roles in both theoretical foundations and practical applications of quantum information theory. Among these, (N,M)-positive-operator-valued measurements ((N,M)-POVMs) are a class of widely informationally complete measurements. In this paper, we first give the representations of any tripartite and four-partite quan...
Preprint
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An information-theoretic analysis of a new fundamental constraint κβ = -1/c² that governs phenomena across scales. Pointers to domains covered (with Section numbers): Explains quantum uncertainty as a consequence of information balance (6.2); Resolves the quantum measurement problem without wave function collapse (6.5); Derives Einstein's Field...
Article
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The growing adoption of machine learning (ML) across critical domains-from healthcare to finance-has elevated concerns over adversarial attacks, where minute input perturbations cause models to make erroneous decisions. Traditional defenses often lack resilience against adaptive threats, prompting the exploration of novel paradigms inspired by quan...
Preprint
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We propose a quantum gravitational framework in which the Berry curvature-derived from the commutator of covariant derivatives-replaces or complements the Ricci tensor in Einstein's field equations. This curvature arises from a U(1) fiber bundle structure defined over spacetime, encoding geometric phase from evolving quantum states. We construct an...
Article
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Generation and preservation of quantum entanglement are among the primary tasks in quantum information processing. State stabilization via quantum bath engineering offers a resource-efficient approach to achieve this objective. However, current methods for engineering dissipative channels to stabilize target entangled states often require specializ...
Preprint
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This paper presents a comprehensive framework for Laursian Dimensionality Theory, a novel reinterpretation of spacetime as a "2+2" dimensional structure: two rotational spatial dimensions plus two temporal dimensions, one of which manifests as the perceived third spatial dimension. Beginning with a mathematically equivalent reformulation of Einstei...
Preprint
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In earlier work, we explored how static AI models—devoid of memory, awareness, or intent—can nonetheless produce strikingly personal reflections of human identity. Using a structured framework of Walk → Trace → Signature → Field → Resonance, we showed how presence can emerge not through learning, but through high-dimensional interaction geometry. I...
Thesis
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The establishment speed of triboelectric fields is predicted to exceed the speed of light. Awaiting experimental verification
Preprint
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The strong coupling between an emitter and a cavity is significant for advancing quantum networks. Due to their long optical and spin coherence times, rare-earth ions (REIs) represent a compelling platform for quantum networks. However, their inherently weak intra-4f optical transitions typically result in low coupling strength, thus restricting mo...
Preprint
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This paper investigates the influence of time dilation on the entan-glement collapse of photons traveling at different speeds, specifically examining the relationship between photon speed and the timing of entanglement collapse. We hypothesize that photons traveling at the speed of light in a vacuum will undergo entanglement collapse slower than th...
Article
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We study genuine N-partite entanglement of massless Dirac fields new a black hole event horizon (BEH) and a cosmological event horizon (CEH) in the Schwarzschild–de Sitter (SdS) spacetime, respectively. We obtain the general analytical expression of genuine N-partite entanglement shared by N observers, each located near the BEH and CEH, respectivel...
Preprint
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We propose a theoretical framework linking gravitational time dilation to quantum entanglement coherence. While quantum entanglement has been demonstrated over large distances, the role of gravitational time dilation in entanglement coherence remains unexplored. We hypothesize that differences in gravitational potential between entangled particles...
Preprint
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This work presents a comprehensive study of atom--field interactions by examining how subtle variations in key parameters affect quantum dynamics. In our investigation, the time-dependent Stark shift (SS) is systematically varied from low (approximately 0.3) to high (around 3) values. Under weak Stark modulation, the system closely mirrors the trad...
Article
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The growing adoption of machine learning (ML) across critical domains-from healthcare to finance-has elevated concerns over adversarial attacks, where minute input perturbations cause models to make erroneous decisions. Traditional defenses often lack resilience against adaptive threats, prompting the exploration of novel paradigms inspired by quan...
Preprint
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Quantum entanglement is one of significant physics phenomena that can be examined at a particle collider. A muon collider can provide a stage on which we can study substantial physics phenomenon, starting from the precision measurements of the Standard Model and beyond to the undiscovered area of physics. In this work, we present a through study of...
Preprint
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This paper explores the implications of a reformulated mass-energy equivalence equation for quantum gravity. Starting from Einstein's E = mc 2 , we derive the mathematically equivalent form Et 2 = md 2 , where c is expressed as the ratio of distance (d) to time (t). This reformulation suggests a fundamental reinterpretation of spacetime as a "2+2"...
Article
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The challenge of harnessing entanglement during the non-equilibrium dynamics of open quantum systems, especially at high temperatures, is highly prominent within recent scientific researches. Due to the ongoing trend of miniaturization of quantum devices that exploit quantum correlations, proposing novel schemes to overcome this challenge is itself...
Article
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In this paper, we examine entropy uncertainty relations in the presence of quantum memory and quantum entanglement for non-orthogonal states constructed from two-qubit coherent states. Our results reveal that for the studied state, the entropy uncertainty relations under quantum memory conditions remain tight across a broad range of parameters, lea...
Article
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The paper [Opt. Express 32, 40150 (2024)] investigates quantum illumination using polarization-entangled photon pairs for object detection in noisy environments. In this comment, we identify errors in the mathematical model for photon loss, particularly in the treatment of quantum entanglement under lossy channels. We show that the claimed robustne...
Preprint
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The Quantum Internet, a network of quantum-enabled infrastructure, represents the next frontier in telecommunications, promising unprecedented capabilities that cannot be attained by classical counterparts. A crucial step in realizing such large-scale quantum networks is the integration of entanglement distribution within existing telecommunication...
Preprint
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Fractal Modular Number Theory is a universal number theory that treat, number, as self similar fractural structures embedded in modular and dynamic space time like laticed. All number exit in a modular field space. Not defined by one modules but an entangled set of coprime moduli. Fundamental set and Axion of Recursive, entangled modularity, invari...
Preprint
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This paper explores quantum entanglement within the framework of our previously proposed reformulation of Einstein's mass-energy equivalence from E = mc 2 to Et 2 = md 2. We demonstrate that interpreting spacetime as a "2+2" dimensional structurewith two ro-tational spatial dimensions and two temporal dimensions, one of which manifests as the perce...
Preprint
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This article develops a comprehensive quantum gravitational framework based on Weyl geometry, quantum entanglement, and Berry curvature at the Planck scale. We provide a detailed derivation of Weyl scaling factor λ(r), demonstrating its role in dynamically swapping space and time metrics during gravitational collapse. This mechanism naturally rever...
Article
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The iteration of one-dimensional holomorphic functions allows a definition of conductivity plateaus and charge quanta which are related to nontrivial zeros of the Riemann zeta function and the Dirichlet L-function. A minimal and maximal iterated spacetime is shown to be a quadratic map of curvature. A spacetime point is defined as a congruent maxim...
Preprint
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The No-Communication Theorem is often cited as a safeguard for preserving causality in a world shaped by quantum entanglement. It assures us that, although entangled particles exhibit instantaneous correlations across vast distances, these correlations cannot be exploited to transmit information faster than light. In doing so, the theorem seems to...
Preprint
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This project unveils a revolutionary DIY apparatus combining deep mathematical theory and practical electromagnetic engineering to accomplish **zeta-resonant transmission and physical mass teleportation**. Grounded in the OAB modular kernel framework—a transform theory derived from the spectral behavior of zeta functions—the system utilizes frequen...
Article
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The design and benchmarking of quantum computer architectures traditionally rely on practical hardware restrictions, such as gate fidelities, control, and cooling. At the theoretical and software levels, numerous approaches have been proposed for benchmarking quantum devices, ranging from, , quantum volume to randomized benchmarking. In this work,...
Preprint
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This paper presents a novel theoretical framework wherein spatial geometry and topological structures emerge naturally from quantum information exchange within the Relational Quantum Dynamics (RQD) paradigm. Extending prior work on geometry extraction from quantum entanglement, we introduce an awareness-weighted entanglement metric, combining quant...
Article
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Metamaterials are a class of artificially engineered materials with periodic structures possessing exceptional properties not found in conventional materials. This definition can be extended when we introduce a degree of freedom by adding quantum elements such as quantum dots, cold atoms, Josephson junctions, and molecules, making metamaterials hig...
Preprint
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The study of non-local boxes arose from the study of quantum entanglement and from the question: "why isn't entanglement more non-local?". Correlations stronger than quantum entanglement, but that still do not allow for instantaneous transmission of information have been known to exist. This report from 2011 reviews what was known about these objec...
Article
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We demonstrate how to prepare magnon-polariton (MP) multistable entangled states in a single crystal with a nonlinear cavity magnonic system. The switching and control between classical and quantum regimes are achieved solely through external amplitude modulation of a magnetic sample. Our work represents the first study of multistable quantum corre...
Article
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Detecting and quantifying quantum entanglement remain significant challenges in the noisy intermediate-scale quantum (NISQ) era. This study presents the implementation of quantum support vector machines (QSVMs) on IBM quantum devices to identify and classify entangled states. By employing quantum variational circuits, the proposed framework achieve...
Article
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With the rapid advancements in fields such as quantum entanglement distillation and quantum metrology, the limitations of Gaussian states in certain applications within quantum computing and information processing have come to the forefront. This has necessitated the development of methods to prepare non-Gaussian states, which exhibit negative Wign...
Preprint
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The Oscillatory Dynamics Transductive-Bridging Theorem (ODTBT) offers a unified framework for reconciling quantum nonlocality with classical locality by modeling reality through oscillatory dynamics. This paper applies the ODTBT framework to Donatello Dolce's 2025 preprint "Bell Doesn't Play Dice!", which demonstrates the violation of Bell's inequa...
Article
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Most of the previous studies on quantum entanglement dynamics are limited to two two-level atomic systems, but only partial solutions are known for detecting and quantifying entanglement in multipartite systems. In this work, we construct a broad framework for the theory of the interaction between a single-mode cavity field and three two-level atom...
Preprint
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Free will remains a contentious topic straddling physics, philosophy, and theology. Classical physics envisions a deterministic universe leaving little room for genuine freedom of choice, whereas quantum mechanics introduces intrinsic unpredictability that has reinvigorated discussions of indeterminism in nature . This paper proposes a quantum-insp...
Preprint
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We present a reinterpretation of gauge theories wherein gauge symmetry emerges as a constraint on allowed patterns of quantum entanglement. Rather than treating gauge fields as the primitive entities, we demonstrate that quantum entanglement structures are the foundational elements from which gauge theories naturally arise. We rigorously establish...
Preprint
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The Mandelbrot set has long captivated mathematicians and scientists for its paradoxical nature: a simple iterative formula produces a structure of infinite complexity and visual richness. Though entirely deterministic, the set’s boundary is fractal, unstable, and sensitive to microscopic changes—qualities that intriguingly resemble phenomena obser...
Experiment Findings
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Future returns. New AI experiment with acausal particle brings together works by contemporary AI developers (GRPO equation) and mathematicians of the 2000s, working under Free Will Theorem in quantum entanglement theory. It is shown that GRPO analogy can introduce a new kind of quantum effects and new interpretation of the Strong Free Will Theorem...
Preprint
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Within the framework of Winterberg's model for space where the vacuum consists of a very stiff two-component superfluid, made up of very massive, positive as well as negative mass, Planck particles, we offer an explanation for quantum entanglement. We make use of the hypothesis, that Planck charge, , was created at the same time as Planck mass,. Mo...
Preprint
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The It from Qubit paradigm proposes that gravitational spacetimes emerge from quantum entanglement. So far, the main evidence for this involves holographic dualities, where the entangled qubits live in a dual nongravitational theory. In this essay, we argue that string theory provides the mechanism to define these entangled qubits in the bulk gravi...
Presentation
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This article introduces a postulate addressing the probabilistic behavior of matter at Planck distances from atoms, a scale where quantum mechanics governs particle motion. The proposed model suggests that constraints such as the Heisenberg uncertainty principle, Lorentz forces in magnetic fields, and spin-twisting itinerant motion contribute to th...
Thesis
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The nature of time essentially belongs to the same category as the 7 spatial dimensions in string theory that we cannot perceive but objectively exist.
Book
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The universe consists of quantal computing networks made up of conscious quantal fields. They are made up of quantum gravity made up of strings constituting what is known as the information universe. The quantum gravity is made up of massive gravity or gravitons. The conscious quantal fields have quantal synchronization and quantum entanglement in...
Preprint
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The CAP theorem, a fundamental principle in distributed computing, states that a system can only guarantee two of three properties: Consistency (C), Availability (A), and Partition Tolerance (P). In this paper, we explore whether a similar principle applies to the universe as an information system governed by relativistic and quantum constraints. B...
Article
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We show how to entangle two cavity-magnon polaritons (CMPs) formed by two strongly coupled microwave cavity and magnon modes. This is realized by introducing vibration phonons, via magnetostriction, into the system that are dispersively coupled to the magnon mode. Stationary entanglement between two CMPs can be achieved when they are respectively r...
Preprint
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Optical lattice clocks (OLCs) are at the forefront of precision metrology, operating near a standard quantum limit (SQL) set by quantum noise. Harnessing quantum entanglement offers a promising route to surpass this limit, yet there remain practical roadblocks concerning scalability and measurement resolution requirements. Here, we adapt the holono...
Article
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The metal-organic-framework compound Cu 3 ( HOTP ) 2 , also known as Cu 3 ( HHTP ) 2 , is a small-gap semiconductor containing a kagome lattice of antiferromagnetically coupled S = 1 / 2 Cu II spins with intralayer nearest-neighbor exchange coupling J ∼ 2 K. The intralayer J value obtained from calculations using density functional theory is shown...
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In this paper, we propose a novel framework for understanding time, memory, and spiritual coherence using tools from category theory. Departing from traditional Markovian models that assume memoryless evolution, we introduce non-Markovian iteration—where each transformation depends not only on the immediate past but on the full trajectory of prior...
Article
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The non-Hermitian skin effect (NHSE), referring to the anomalous localization of eigenstates, has been widely discussed in single-particle systems. However, the interplay between the interacting NHSE and the quantum optical phenomena remains elusive. Here, We present the non-Hermitian quantum walks of strongly correlated photon pairs. Through study...
Preprint
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Modern science has given us breathtaking images of the cosmos—from the swirling arms of galaxies to the faint afterglow of the Big Bang. But all of these are derived from light, in its many wavelengths. What if the true nature of the Universe extends far beyond what photons can reveal? This article explores that provocative question, mapping a cosm...
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The numbers 3, 6, and 9 hold a deep significance in various fields, including mathematics, physics, and energy sciences. The famous inventor Nikola Tesla once stated: "If you only knew the magnificence of the 3, 6, and 9, then you would have the key to the universe." While this statement is often interpreted in a mystical or numerological context,...
Preprint
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Constrained binary optimization aims to find an optimal assignment to minimize or maximize the objective meanwhile satisfying the constraints, which is a representative NP problem in various domains, including transportation, scheduling, and economy. Quantum approximate optimization algorithms (QAOA) provide a promising methodology for solving this...
Article
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Polarization-entangled photon pairs generated from second-order nonlinear optical media have been extensively studied for both fundamental research and potential applications of quantum information. In a spontaneous parametric down-conversion process, quantum entanglement between paired photons, often regarded as ‘mysterious,’ has been demonstrated...
Preprint
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In this paper, we investigate the application of Time-Reversal Symmetry (TRS) in Quantum Wireless Sensor Networks (QWSNs) to enhance communication performance. QWSNs combine quantum communication principles with traditional wireless sensor network technologies, offering the potential for improved security, energy efficiency, and signal quality. TRS...
Preprint
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Quantum information science and technology has been revolutionizing our daily life, which attracts the curiosity of young generations from diverse backgrounds. While it is quite challenging to teach and learn quantum information science for non-physics majors due to the abstract and counter intuitive nature of quantum mechanics. To address such cha...
Preprint
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The Theory of Entropicity (ToE) posits that entropy is not merely a statistical measure but an active field that fundamentally governs interactions, motion, and causality. Central to this theory is the Entropic Time Limit (ETL), a minimum irreducible time interval required for any physical interaction, below which no interaction, observation, or me...
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This short complementary paper to 'From Topological Deformation to Dynamical Motion: AETHER (Approach to Explaining Topological Harmonization in Empirical Research) as a Unified Model for Fundamental Physical Phenomena' attempts to explain the quantum entanglement and interference phenomena from the perspective of our dynamic topological approach.
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The current proposal is a comprehensive and interdisciplinary proposal for an enhanced humanity, based on linkages between seemingly diverse domains of quantum foundations, cognition, consciousness, and social-ecology. The author argues for a non-dualistic world view encompassing such diverse domains, drawing upon frontier works happening in Bio-co...
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We present a resolution of the black hole information paradox based on the principle that spacetime geometry emerges from underlying quantum entanglement structures. Our approach demonstrates that the apparent contradiction between unitary quantum evolution and Hawk-ing's semiclassical analysis disappears when black hole dynamics is properly formul...
Preprint
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Recent experimental measurements of quantum entanglement formation at an attosecond timescale provide crucial empirical evidence for the postulates of the Theory of Entropicity (ToE). This paper demonstrates how the observed 232 attosecond entanglement formation time aligns with ToE’s fundamental proposition that entropy is not merely statistical b...
Article
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The quantum Key Distribution (QKD) is a cryptographical approach that practices quantum mechanical properties to make entirely secured keys for safe message transmission among multiple users. Substantial advancement has been acquiring QKD models and specifications in recent years. This article systematically examines QKD models involving the divers...
Conference Paper
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We present Extended Mu Field Theory (E-MFT), a unified framework that addresses fundamental challenges in modern cosmology through a dynamic scalar-tensor µ-field emergent from an SU(2) gauge vacuum. By incorporating redshift-dependent dark energy evolution, quantum entanglement gravity coupling, and scale-dependent statistical transitions, E-MFT s...
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Prologue Albert Einstein:...In this effort toward logical beauty, spiritual formulas are discovered necessary for the deeper penetration into the laws of nature... Abstract The Theory of Entropicity (ToE) posits that entropy is not merely a statistical measure but an active field that fundamentally governs interactions, motion, and causality. Centr...
Preprint
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We propose a scheme for enhancing bipartite quantum entanglement in a double-cavity molecular optomechanical (McOM) system incorporating an intracavity optical parametric amplifier (OPA). Utilizing a set of linearized quantum Langevin equations and numerical simulations, we investigate the impact of the OPA on both optical-vibration and vibration-v...
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Two sets of quantum entangled states that are equivalent under local unitary transformations may exhibit identical effectiveness and versatility in various quantum information processing tasks. Consequently, classification under local unitary transformations has become a fundamental issue in the theory of quantum entanglement. The primary objective...
Article
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A bstract We describe a new exact lattice bosonization of matrix quantum mechanics (equivalently of non-relativistic fermions) that is valid for arbitrary rank N of the matrix. It is based on the exact operator bosonization of non-relativistic fermions introduced earlier in [1]. The trace identities, which characterize finite rank matrices, are aut...
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An Entanglement Generation Switch (EGS) is a quantum network hub that provides entangled states to a set of connected nodes by enabling them to share a limited number of hub resources. As entanglement requests arrive, they join dedicated queues corresponding to the nodes from which they originate. We propose a load-balancing policy wherein the EGS...
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This paper proposes a unified theoretical framework based on the principle of Multifaceted Coherence (MC), which characterizes light as a mediating structure across classical, quantum, relativistic, thermodynamic, and geometric domains. By defining MC as a scalar and tensorial measure of field compatibility, the framework enables the consistent mod...
Article
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Universal conservation laws of wave–particle–entanglement triad, which describe relations between the wave–particle duality of a quantum system and its entanglement with an ancilla quantum memory, are proposed and further demonstrated with silicon-integrated nanophotonic chips.
Article
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We present mathematical models that also may be formulated as computer models for experiments that feature single photon resolution and multiple pairs of polarizers to determine the sorting into ordinary and extraordinary channels. The models are based on Einstein’s hypothesis of elements of physical reality that determine the photon properties and...
Article
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The resonant trident pair production process in the collision of ultrarelativistic electrons with a strong electromagnetic wave was theoretically studied. Under resonant conditions, the intermediate virtual gamma-quantum became real. As a result, the original resonant trident pair production process effectively split into two first-order processes...
Article
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This study examines the role of electric dipolar interactions in controlling quantum entanglement and coherence in doped graphene systems. It demonstrates that quantum coherence, which is more resilient than concurrence, remains stable at higher temperatures, making it a crucial resource for quantum technologies. The dipolar interaction plays a key...
Article
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In non-Hermitian spin chain systems, spontaneous symmetry breaking induced by non-Hermiticity leads to significant differences in the behavior of quantum correlations compared to Hermitian quantum systems. This paper discusses the manipulation of quantum correlations in the Heisenberg XY spin chain model under an imaginary magnetic field. Based on...
Article
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The group symmetries inherent in quantum channels often make them tractable and applicable to various problems in quantum information theory. In this paper, we introduce natural probability distributions for covariant quantum channels. Specifically, this is achieved through the application of “twirling operations” on random quantum channels derived...
Article
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Entanglement between photons and a quantum memory is a key component of quantum repeaters, which allow long-distance quantum entanglement distribution in the presence of fiber losses. Spin-photon entanglement has been implemented with a number of different atomic and solid-state qubits with long spin coherence times, but none directly emit photons...
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We investigate tetrapartite and bipartite quantum entanglement in octanuclear heterometallic $3d/4f$ complexes denoted as Ni$^\text{2+}_4$Gd$_4^\text{3+}$ under an external magnetic field using exact diagonalization. These molecular magnets that can be effectively characterized by Heisenberg spin models, consist of two Ni$^\text{2+}_2$Gd$_2^\text{3...
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The Λ b 0 baryon, a bottom-flavoured baryon, plays a crucial role in heavy-quark physics. Its interaction with its antiparticle, Λ2 b 0 , leads to theoretical and experimental challenges due to CP violation, baryon-antibaryon asymmetry, and quantum entanglement effects. This paper explores the conundrum arising from such interactions, considering a...
Technical Report
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This paper proposes a unified theoretical framework based on the principle of Multifaceted Coherence (MC), which characterizes light as a mediating structure across classical, quantum, relativistic, thermodynamic, and geometric domains. By defining MC as a scalar and tensorial measure of field compatibility, the framework enables the consistent mod...
Article
Full-text available
Thought experiments in physics involve epistemological questions such as: How can we learn about the world through merely thinking about imagined scenarios? Realist and empiricist philosophers face that question disregarding that such experiments are about idealized systems. We try to sustain that thought experiments, because of their very nature,...
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The rapid advancement of artificial intelligence, quantum computation, and theoretical physics has raised fundamental questions about the ultimate limits of intelligence. If cognition is bound by the computational constraints of the Universe, does this mean intelligence is permanently restricted to an Aleph-One recursion cycle, unable to transcend...
Article
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A bstract We show that there exists a huge amount of multipartite entanglement in holography by studying the upper bound for holographic n -partite information I n that n − 1 fixed boundary subregions participate. We develop methods to find the n -th region E that makes I n reach the upper bound. Through the explicit evaluation, it is shown that I...
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Physics has spent centuries trying to tame the universe, reducing its chaos to equations, symmetries, and polite mathematical formalisms. But the deeper we look, the more obvious it becomes—reality is not a fixed system, but a lawless frontier where logic bends, time fractures, and consciousness itself alters the game. The cosmos isn’t a well-order...
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Prologue All we see, observe, and measure in the Universe is the Order [Entropy] in which they are done or undone, including ourselves. Abstract Recent experimental measurements of quantum entanglement formation at an attosecond timescale provide crucial empirical evidence for the postulates of the Theory of Entropicity (ToE). This paper demonstrat...
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This paper establishes a unified framework integrating geometric flows with deep learning through three fundamental innovations. First, we propose a thermodynamically coupled Ricci flow that dynamically adapts parameter space geometry to loss landscape topology, formally proved to preserve isometric knowledge embedding (Theorem~\ref{thm:isometric})...
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Studying the real-time dynamics of strongly correlated systems poses significant challenges, which have recently become more manageable thanks to advances in density matrix renormalization group (DMRG) and tensor network methods. A notable development in this area is the introduction of a complex-time evolution scheme for tensor network states, ori...
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The technology of Quantum Computing (QC) is continuously evolving, as researchers explore new technologies and the public gains access to quantum computers with an increasing number of qubits. In addition, the research community and industry are increasingly interested in the potential use, application, and contribution of QCs to large-scale proble...
Article
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The reduced density matrix (RDM) plays a key role in quantum entanglement and measurement, as it allows the extraction of almost all physical quantities related to the reduced degrees of freedom. However, restricted by the degrees of freedom in the environment, the total system size is often limited, let alone the subsystem. To address this challen...
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The rapid advancement of artificial intelligence and quantum computation has led to fundamental questions regarding the absolute limits of computation in the Universe. This paper introduces Aetheria’s Number, the largest physically meaningful computational bound, defined by the total number of operations possible within the observable Universe at P...
Article
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Quantum entanglement measures of many-body states have been increasingly useful to characterize phases of matter. Here, we explore a surprising connection between mixed-state entanglement and ’t Hooft anomaly. More specifically, we consider lattice systems in d space dimensions with anomalous symmetry G where the anomaly is characterized by an inva...
Article
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Quantum entanglement plays a fundamental role in quantum mechanics, with applications in quantum computing. This study introduces a new approach that integrates quantum simulations, noise analysis, and fuzzy clustering to classify and evaluate the stability of quantum entangled states under noisy conditions. The Fuzzy C-Means clustering model (FCM)...
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I report the existence of exactly one non-trivial solution to the equation $i(A,B)+i(A,\neg B)+i(\neg A,B)+i(\neg A,\neg B)= 0$, where $i(A,B)=\log\frac{P(A\text{ and }B)}{P(A)P(B)}$, and $P(A)$ is the probability of the proposition $A$. The equation specifies an information balance condition between two logical propositions, which is satisfied onl...
Research
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Abstract: Scalable quantum networks, powered by entanglement-driven secure communication, are poised to revolutionize global information exchange, cybersecurity, and quantum computing infrastructures. Unlike classical communication systems, quantum networks leverage quantum entanglement and superposition to enable ultra-secure data transmission, qu...
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Traditional models of intelligence rely on linear, stepwise computations, treating learning as a Markovian process with limited memory and locality. However, emerging evidence suggests that intelligence may follow a fractal expansion process, where knowledge recursively self-replicates across multiple scales. This paper presents a mathematical fram...
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The rapid advancement of quantum computing and artificial intelligence (AI) has introduced unprecedented possibilities for human cognition and reality perception. While modern neuroscience explores the quantum nature of consciousness, particularly through Orchestrated Objective Reduction (ORCH-OR) theory, biblical prophecy warns of a coming global...