Mohammad Ali Jafarizadeh

• phd
• Professor at University of Tabriz

In this study, the von Neumann entropy (entanglement entropy) of s–d bosons and proton (π)–neutron (ν) bosons in the even–even molybdenum (94–102Mo) isotopes, within the framework of the Interacting Boson Model-2, has been calculated and analyzed. In order to compare the results, the energy spectra, quadrupole moment, and the expectation value of t...

In this paper, we examine the constraints that arise from the singularity of the Skyrme, Faddeev and BPS models when treated as constrained Hamiltonian systems. The application of the Dirac’s method to the quantization of these systems gives rise to constraints that determine the permissible states by influencing the wave functions. We find that th...

The Algebraic Cluster Model (ACM) is an interacting boson model that gives the relative motion of the cluster configurations in which all vibrational and rotational degrees of freedom are present from the outset. We schemed a solvable extended transitional Hamiltonian based on affine [Formula: see text] Lie algebra within the framework for two-, th...

In this study, we present a new procedure for quantum state reconstruction of qudit quantum state based on unambiguous state discrimination (USD) measurement. In our recent paper (Karimi et al., 2022), we considered the reconstruction of a single-qubit state via USD measurement. In this paper, we extend this method to the reconstruction of the qudi...

In this paper, we introduce an analytical framework for the reconstruction of quantum states. The reconstruction of an unknown quantum state requires the information of a complete set of observables, obtained through experimental measurements of Hermitian operators usually defined as positive-operator-valued measures (POVMs). The scheme involves a...

Understanding how to decompose quantum computations in the language of the shortest possible sequence of quantum gates is of interest to many researchers due to the importance of the experimental implementation of the desired quantum computations. We contribute to this research by providing a quantum circuit to directly measure the three-tangle of...

Optimal control theory is a versatile tool applied to decompose unitary quantum operations into a sequence of entangling and single-qubit gates. Here, we seek a systematic way to find time-optimal pulse sequences to transfer coherence in both mixed and pure states and produce an entangling gate in quantum networks. To this end, we use the algebra o...

In this letter, we investigate the problem of time-optimal control for a system of quadrupole nucleus with spin I=1 under nuclear magnetic resonance conditions with unbounded control using Pontryagin's minimum principle. For spin I=1, we calculate the minimal duration for steering the system from the every given initial pure state to the every fina...

Entanglement Entropy as a Signature of a Quantum Shape Phase Transition & The Structure of Nuclei

In this paper, we study the entanglement entropy for strongly correlated spinless fermions in the ground state of a supersymmetric Hamiltonian on diverse graphs. Then, we use the entanglement entropy to study the graph isomorphism (GI) problem on some non-isomorphic pairs of graphs to distinguish them from each other. The GI problem is considered o...

Background: One of the fundamental problems of quantum information science is quantum entanglement. Recently, quantum phase transition in nuclear systems is studied in connection with quantum entanglement. Purpose: In this paper, the use of entanglement entropy as a suitable signal for the study of quantum phase transition in the even-even and odd-...

We investigate the entanglement entropy in the ground state of the supersymmetric fermion lattice model. The Hamiltonian of this model is block diagonal in the basis of a fixed number of particles, so we compute the entanglement entropy for the blocks of the Hamiltonian separately. We explain the way of calculating the correlation matrix and the en...

One of the basic scientific researches that lies at the heart of quantum information is quantum entanglement. Growing interest in experimental applications of quantum entanglement led to wide study in this field. We propose a realistic protocol for measuring directly the polynomial invariant of degree 2 (PID-2) of an even N-qubit pure state , as lo...

Abstract Exactly solvable solution for the spherical to gamma-unstable transition in transitional nuclei is proposed by using the Bethe ansatz technique within an infinite-dimensional Lie algebra and dual algebraic structure. The duality relations between the unitary and quasi-spin algebraic structures for the boson and fermion systems are extende...

In this paper, the characteristics of nuclear supersymmetry in transitional nuclei are investigated. The structure of the two types of nuclear supersymmetry schemes, based on the U(6/2) and U(6/4) supergroups, is discussed. We focus on the quantal analysis and present the phase transition observables such as the level crossing, the expectation valu...

In a paper on competitive learning neural network, Mohammed Zidan et al. (Applied Sciences 9.7 (2019): 1277) proposed a new algorithm for the entanglement classification of two qubit states using the competitive learning and quantum computation. In this letter, we claim that the result after statement “the state of the two-qubit system…” in step 3...

In this study, we obtained mass spectra for baryons. The mass spectra for baryons depend on the spatial and internal symmetry Hamiltonian and wave functions. The algebraic solution for mass spectra of baryons is introduced in the spatial part. Results are obtained by using the Bethe Ansatz within an infinite-dimensional Lie algebra. The mass spectr...

Abstract Studying the dynamical behavior of various nucleus systems has become an interesting subject of research over recent years in nuclear physics. The Energy spectrum and magnitude of momentum of electric and magnetic multi-poles may describe the behavior of a nuclei collection under a special symmetry group. In this paper, solvable algebraic...

The objective of time-optimal control that helps to minimize relaxation losses, is the evolution of a quantum state from a given initial mixed state to a final target mixed state in minimum time. In this paper, we study a time-optimal control problem of the dynamic of a pure two-level system with unbounded control using Pontryagin's minimum princip...

Entanglement witness is a Hermitian operator that is useful for detecting the genuine multipartite entanglement of mixed states. Nonlinear entanglement witnesses have the advantage of a wider detection range in the entangled region. We construct genuine entanglement witnesses for four qubits density matrices in the mutually unbiased basis. First, w...

Low-lying energy states of the odd-odd C60−66u isotopic chain are studied within the framework of interacting boson-fermion-fermion model (IBFFM-1) and the neutron-proton interacting boson-fermion-fermion model (IBFFM-2). The obtained results compare well with the available experimental data and IBFFM-1, which augment the reliability of the wave fu...

It is the aim of this study to discuss for two-body systems like homonuclear molecules in which eigenvalues and eigenfunctions are obtained by exact solutions of the solvable models based on SU(1, 1) Lie algebras. Exact solutions of the solvable Hamiltonian regarding the relative motion in a two-body system on Lie algebras were obtained. The U(1) ↔...

In this paper we study the Tangle of three qubit Werner state using Twirl operation and association scheme. To do this, we introduce the invariants of Twirl operation using total spin representation. Then by using commutator property of this invariant with total spin, the general form of three qubit density matrix of Werner state is obtained. The r...

The study of the ck-fusions frames shows that the em-phasis on the measure spaces introduces a new idea, although somesimilar properties with the discrete case are raised. Moreover, dueto the nature of measure spaces, we have to use new techniques fornew results. Especially, the topic of the dual of frames which is im-portant for frame applications...

An effective approach to quantify entanglement of any bipartite systems is D-concurrence, which is important in quantum information science. In this paper, we present a direct method for experimental determination of the D-concurrence of an arbitrary bipartite pure state. To do this, we show that measurement of the D-concurrence of bipartite pure s...

The Algebraic Cluster Model(ACM) is an interacting boson model that gives the relative motion of the cluster configurations in which all vibrational and rotational degrees of freedom are present from the outset. We schemed a solvable extended transitional Hamiltonian based on affine $ {{SU(1,1)}} $ Lie algebra within the framework for two-, three-...

Experimentally quantification of the entanglement measures due to some unphysical properties in their definition is a difficult and important problem in quantum information theory. In this paper, we show that for even N-partite pure states of qubits, the polynomial invariant of degree 2 as the measure of entanglement has a physical interpretation,...

k-frames were recently introduced by Gavruta in Hilbert spaces to study atomic systems with respect to a bounded linear operator. A continuous frame is a family of vectors in Hilbert space which allows reproductions of arbitrary elements by continuous super positions. We construct a continuous k-frame, so called ck-frame along with an atomic system...

The theory of continuous frames in Hilbert spaces is extended, by using the concepts of measure spaces, in order to get the results of a new application of operator theory. The K-frames were introduced by G˘avruta (2012) for Hilbert spaces to study atomic systems with respect to a bounded linear operator. Due to the structure of K-frames, there are...

Characterization of the multipartite mixed state entanglement is still a challenging problem. This is due to the fact that the entanglement for the mixed states, in general, is defined by a convex-roof extension. That is the entanglement measure of a mixed state ρ of a quantum system can be defined as the minimum average entanglement of an ensemble...

Exact eigenenergies and the corresponding wave functions of the interacting boson system in transitional region are obtained by using the Bethe ansatz within an infinite-dimensional Lie algebra. In this paper, a transitional interacting boson model (IBM) Hamiltonian in both sdl and sdll′ versions based on affine SU(1,1) Lie algebra is proposed for...

Quantum entanglement is the most famous type of quantum correlation between elements of a quantum system that has a basic role in quantum communication protocols like quantum cryptography, teleportation and Bell inequality detection. However, it has already been shown that various applications in quantum information theory do not require entangleme...

In the article the name of one of the co-authors, Mrs. Narjes Amiri, was erroneously omitted. We publish here the complete list of authors.

In this article, the negative-parity states in the odd-mass Rh103−109 isotopes in terms of the sd and sdg interacting-boson fermion models were studied. The transitional interacting boson–fermion model Hamiltonians in sd and sdg-IBFM versions based on affine SU(1,1) Lie Algebra were employed to describe the evolution from the spherical to deformed...

The relation of the algebraic cluster model, i.e., of the vibron model and its extension, to the collective structure, is discussed. In the first section of the paper, we study the energy spectra of vibron model, for diatomic molecule then we derive the rotation-vibration spectrum of 2 α, 3 α and 4 α configuration in the low-lying spectrum of ⁸Be,...

The q-deformed Hamiltonian for the SO(6) ↔ U(5) transitional case in s, d interaction boson model (IBM) can be constructed by using affine SUq(1,1) Lie algebra in the both IBM-1 and 2 versions and IBFM. In this research paper, we have studied the energy spectra of 120−128Xe isotopes and 123−131Xe isotopes and B(E2) transition probabilities of 120−128...

In this paper, the entanglement entropy is investigated in the ground state of a spinless free fermion Hamiltonian where its hopping matrix is given by the adjacency matrix of the graph. The bipartite entanglement entropy is calculated from the eigenvalues of the correlation matrix. The entanglement entropy and mutual information are calculated for...

The graph isomorphism (GI) is investigated in some cospectral networks. Two graphs are isomorphic when they are related to each other by a relabeling of the graph vertices. The GI in two scalable (n+2)-regular graphs G4(n; n+2) and G5(n; n+2), is studied analytically by using the multiparticle quantum walk. These two graphs are a pair of non-isomor...

In this paper we present two classes of binary quantum codes based on self-dual orientable embeddings of complete graphs. These classes of codes suggest a more general construction of codes defined on the closed orientable surfaces. Every code achieves minimum distance 3 and its encoding rate is such that →1 as .

1. ‫مقدمه‬ ‫توسعه‬ ‫حال‬ ‫در‬ ‫سرعت‬ ‫به‬ ‫که‬ ‫است‬ ‫تحقیقاتی‬ ‫زمینه‬ ‫یک‬ ‫کوانتومی‬ ‫کنترل‬ ‫نظریه‬ ‫مسئله‬ ‫است.‬ ‫پیدایش‬ ‫تا‬ ‫مکانیک‬ ‫داحله‬ ‫و‬ ‫رابیتز،‬ ‫واررن،‬ (‫است‬ ‫بوده‬ ‫شیمی‬ ‫و‬ ‫کوانتومی‬ ‫فیزیک‬ ‫تحقیق‬ ‫هدف‬ ‫کوانتومی‬ ‫های‬ ‫پدیده‬ ‫کنترل‬ ‫کوانتومی،‬ ; 1993 ، ‫چو،‬ 2002 ‫سیستماتیک‬ ‫های‬ ‫روش‬ ‫ی‬ ‫توسعه‬ ‫و‬ ‫مستحکم‬ ‫تئور...

In this paper, we study the general spinless quadratic fermion Hamiltonian with interaction matrices given by the symmetric and antisymmetric parts of the adjacency matrix of a directed graph. The correlation matrix and entanglement entropy are provided for the ground state of the Hamiltonian, analytically. We also show that a volume law scaling ho...

In this paper, entanglement classification shared among the spins of localized fermions in the noninteracting Fermi gas is studied. It is proven that the Fermi gas density matrix is block diagonal on the basis of the projection operators to the irreducible representations of symmetric group (Formula presented.). Every block of density matrix is in...

The universal programmable discriminator is a device for discrimination between unknown quantum states. It has two kinds of registers: the program register and the data register. The states that are stored in registers are all unknown. It is assured that the data state is identical with one of the program states with the certain probability. The ai...

This paper presents four classes of binary quantum codes with minimum distance 3 and 4, namely Class-I, Class-II, Class-III and Class-IV. The classes Class-I and Class-II are constructed based on self-dual orientable embeddings of the complete graphs \(K_{4r+1}\) and \(K_{4s}\) and by current graphs and rotation schemes. The parameters of two class...

In this paper, we discuss the problem of describing the collective states with negative parity in even-even nuclei by adding f boson to the usual sd-interacting boson model. The sdf -interacting boson model, which includes monopole (\(s, L=0\)), quadrupole (\(d, L=2\)) and octupole (\(f, L=3\)) degrees of freedom, enables analyzing the electric tra...

For the relative entropy-based measure of quantum discord the key idea is to find the closest classical state (CCS) for a given state ρ, which is in general a more complicated problem. In this work, we study three and four qubit graph-diagonal states and give the explicit expressions of CCS for these states. Using the CCS, we compute the quantum di...

In this paper, a transitional interacting boson model (IBM) Hamiltonian in both sd-(IBM) and sdg-IBM versions based on affine SU(1, 1) Lie algebra is employed to describe deviations from the gamma-unstable nature of Hamiltonian along the chain of Xe isotopes. sdg-IBM Hamiltonian proposed a better interpretation of this deviation which cannot be exp...

In this paper, a successful algebraic method based on the dual algebraic structure for three level pairing model in the framework of sdg IBM is proposed for transitional nuclei which show transitional behavior from spherical to gamma-unstable quantum shape phase transition. In this method complicated sdg Hamiltonian, which is a three level pairing...

Low-lying electric dipole strength is an interesting nuclear structure phenomenon which various collective models were employed in order to account for the observed properties of the photoresponse in nuclei. To determine general characteristics of the low-lying dipole strength it is reasonable to use the sdfp-interacting boson model (sdfp-IBM). Dip...

In this paper, the interacting boson–fermion model generalized by considering an np-boson and the single nucleon as a vector coupled in isospin to the bosons to form the model isospin invariant. The transitional interacting boson–fermion model Hamiltonians in IBFM-1 and IBFM-3 versions based on affine SU(1,1) Lie algebra are employed to describe th...

Minimum error discrimination (MED) and Unambiguous discrimination (UD) are two common strategies for quantum state discrimination that can be modified by imposing a finite error margin on the error probability. Error margins 0 and 1 correspond to two common strategies. In this paper, for an arbitrary error margin m, the discrimination problem of eq...

In this study, we explore the tripartite quantum correlations by employing the quantum relative entropy as a distance measure. First, we evaluate the explicit expression for nonlinear entanglement witness (EW) of tripartite systems in the four dimensional space that lends itself to a straightforward algorithm for finding closest separable state (CS...

Characterization of the multipartite mixed state entanglement is still a challenging problem. Since due to the fact that the entanglement for the mixed states, in general, is defined by a convex-roof extension. That is the entanglement measure of a mixed state \r{ho} of a quantum system can be defined as the minimum average entanglement of an ensem...

In order to investigate negative parity states, it is necessary to consider negative parity-bosons additionally to the usual (Formula presented.)- and (Formula presented.)-bosons. The dipole and octupole degrees of freedom are essential to describe the observed low-lying collective states with negative parity. An extended interacting boson model (I...

In this paper, local distinguishability of the multipartite equi-coherent quantum states is studied in the bosonic subspace. A method is proposed to give an upper bound on the optimal success probability in terms of quantum coherence for equiprobable states. Then a necessary and sufficient condition to saturate this upper bound is presented. This c...

The building blocks of the interacting boson model (IBM) are associated with both s and d bosons for positive parity states. An extension of sd−IBM along these models to spdf−IBM can provide the appropriate framework to describe negative parity states. In this paper, a solvable extended transitional Hamiltonian based on the affine SU ( 1 , 1 ) ^ Li...

In this paper the affine \( SU(1,1)\) approach is applied to numerically solve two pairing problems. A dynamical symmetry limit of the two-fluid interacting boson model-2 (IBM-2) and of the interacting vector boson model (IVBM) defined through the chains \( U_{\pi}(6) \otimes U_{\nu}(6) \supset SO_{\pi}(5)\otimes SO_{\nu}(5) \supset SO_{\pi}(3) \ot...

The interacting boson model (IBM-1) has been used to perform the nuclear structure of ground states of even-even 104- 122 -soft O(6), and the rotational SU(3) nuclei, starting with the unitary group U(6) and finishing with group O(2). In this paper, the properties of even 106-116 Cd isotopes have been considered to the U(5) ~ SO(6) transitional reg...

Published 17 In this paper, we have investigated the positive-parity states in the odd-mass transitional 18 123–135 Xe isotopes within the framework of the interacting boson–fermion model. Two 19 solvable extended transitional Hamiltonians which are based on SU(1,1) algebra are 20 employed to provide an investigation of quantum phase transition (QP...

Solvable supersymmetric algebraic model for descriptions of the spherical to gama unstable shape- phase transition in even and odd mass nuclei is proposed. This model is based on dual algebraic structure and Richardson - Gaudin method, where the duality relations between the unitary and quasispin algebraic structures for the boson and fermion syste...

The spherical to γ-unstable nuclei shape-phase transition in odd-A nuclei is investigated by using the dual algebraic structures and the affine SU(1,1) Lie algebra within the framework of the interacting boson-fermion model. The new algebraic solution for odd-A nuclei is introduced. In this model, single j=1/2 and 3/2 fermions are coupled with an e...

Exactly solvable solution for the spherical to gamma - unstable transition in transitional nuclei based on dual algebraic structure and nuclear supersymmetry concept is proposed. The duality relations between the unitary and quasispin algebraic structures for the boson and fermion systems are extended to mixed boson-fermion system. It is shown that...

‫‬ ‫ In this paper, we have investigated the first order phase transition between prolate and oblate nuclei. Energy surfaces for dynamical symmetry limits and transitional region are obtained via the transitional Hamiltonian and coherence state. The variation of energy surfaces in related to control parameter and βand γ variables suggest quantum ph...

Entanglement witness is a Hermitian operator which is useful for detection the genuine multi-partite entanglement of mixed states. Nonlinear entanglement witnesses have the advantage of a wider detection range in the entangled region. We construct genuine entanglement witnesses for four qubits density matrices in the mutually unbiased basis. First,...

The spherical to deformed $\gamma -unstable$ shape- phase transition in odd-A nuclei is investigated by using the Dual algebraic structures and the affine $SU(1,1)$ Lie Algebra within the framework of the interacting boson - fermion model. The new algebraic solution for A-odd nuclei is introduced. In this model, Single $j = 1/2 $ and $ 3/2 $ fermio...

This paper presents four new classes of binary quantum codes with minimum dis- tance 3 and 4, namely Class-I, Class-II, Class-III and Class-IV. The classes Class-I and Class-II are constructed based on self-dual orientable embeddings of the com- plete graphs K4r+1 and K4s and by current graphs and rotation schemes. and s are both divisible by 4.

We investigate the entanglement of the ground state in the quantum networks that their nodes are considered as quantum harmonic oscillators. To this aim, the Schmidt numbers and entanglement entropy between two arbitrary partitions of a network are calculated. In partitioning an arbitrary graph into two parts there are some nodes in each part which...

A new method for the construction of the binary quantum stabilizer codes is provided, where the construction is based on Abelian and non-Abelian groups association schemes. The association schemes based on non-Abelian groups are constructed by bases for the regular representation from U6n, T4n, V8n and dihedral D2n groups. By using Abelian group as...

In this study, using the concept of relative entropy as a distance measure of cor- relations we investigate the important issue of evaluating quantum correlations such as entanglement, dissonance and classical correlations for 2n-dimensional Bell-diagonal states. We provide an analytical technique, which describes how we find the closest classical...

In this paper, the distinguishability of multipartite geometrically uniform quantum states obtained from a single reference state is studied in the symmetric subspace. We specially focus our attention on the unitary transformation in a way that the produced states remain in the symmetric subspace, so rotation group with Jy as the generator of rotat...

In this paper we present two new classes of binary quantum codes with minimum distance of at least three, by self-complementary self-dual orientable embeddings of voltage graphs and Paley graphs in the Galois field GF(pr), where p is a prime number and r is a positive integer. The parameters of two new classes of quantum codes are [[(2k+2)(8k+ 7);...

We investigate the Hamming networks that their nodes are considered as quantum harmonic oscillators. The entanglement of the ground state can be used to quantify the amount of information each part of a network shares with the rest of the system via quantum fluctuations. Therefore, the Schmidt numbers and entanglement entropy between two special pa...

Recently entangled N00N state was purposed to beat Heisenberg limit phase sensitivity. In the present study, time evolution of phase sensitivity of entangled N00N state is determined by the aid of quantum estimation strategy in the presence amplitude damping decoherence channels. The phase sensitivity which is Heisenberg's limit in the initial stat...

In this paper, we have considered the energy spectra and quadruple transition probabilities of even-even Er isotopes via partial dynamical symmetry in interacting boson model framework. The advantage of using interactions with a partial dynamical symmetry is that they can be introduced, in a controlled manner, without destroying results previously...

We investigate the graph isomorphism (GI) in some cospectral networks. Two graph are isomorphic when they are related to each other by a relabeling of the graph vertices. We want to investigate the GI in two scalable (n + 2)-regular graphs G4(n; n + 2) and G5(n; n + 2), analytically by using the multiparticle quantum walk. These two graphs are a pa...

This paper deals with the molecular dynamics simulation of nanofluid under Poiseuille flow in a model nanochannel. The nanofluid is created by exerting four solid nanoparticles dispersed in Argon, as base fluid, between two parallel solid walls. The flow is simulated by molecules with the Lennard-Jones intermolecular potential function. Different s...

We investigate the hypercube networks that their nodes are considered as quantum harmonic oscillators. The entanglement of the ground state can be used to quantify the amount of information each part of a network shares with the rest of the system via quantum fluctuations. Therefore, the Schmidt numbers and entanglement entropy between two special...

In this paper, Brody distribution is generalized to explore the Poisson, GOE and GUE limits of Random Matrix Theory in the nearest neighbor spacing statistic framework. Parameters of new distribution are extracted via Maximum Likelihood Estimation technique for different sequences. This general distribution suggests more exact results in comparison...

U(5)-O(6) ، ‫هی‬ ‫کشدُ‬ ‫استفادُ‬ ‫تاشٌذ‬ ‫کويت‬ ‫تحشاًی‬ ‫ًواّاي‬ ‫تشاتِ‬ ‫اين.‬ ‫گًَاگًَی‬ ‫ّاي‬ ‫است‬ ‫شذُ‬ ‫دادُ‬ ‫ًشاى‬ ‫اًشطي‬ ‫سطح‬ ‫ّشدٍ‬ ‫تشاي‬ ‫ّستٌذ،‬ ‫هْن‬ ‫گزاسفاص‬ ‫دس‬ ‫کِ‬. Abstract In this paper, we have considered the universality behavior of critical exponents in quantum phase transition in interacting boson model framework. We h...

1 ‫؛‬ ‫میثم‬ ، ‫نویدقاسمی‬ 1 1 ‫گروه‬ ‫فيزيك‬ ‫نظري‬ ‫و‬ ‫اختر‬ ‫فيزيك،‬ ‫دانشكده‬ ‫فيزيك،‬ ‫دانشگاه‬ ‫تبريز،‬ ‫تبريز‬ ‫چکیده‬ ‫پیمایش‬ ‫در‬ ‫را‬ ‫تنیدگی‬ ‫هم‬ ‫در‬ ‫هندسی‬ ‫ی‬ ‫سنجه‬ ‫مایورانا‬ ‫نمایش‬ ‫ی‬ ‫وسیله‬ ‫به‬ ‫ما‬ ‫مربعی‬ ‫گراف‬ ‫روی‬ ‫کوانتومی‬ ‫از‬ ‫استفاده‬ ‫با‬ ‫منظور‬ ‫این‬ ‫برای‬ ، ‫کنیم‬ ‫می‬ ‫حساب‬ ‫کوان‬ ‫پیمایش‬ ‫تومی،‬ ‫چند‬ ‫...

1 ‫؛‬ ‫میثم‬ ، ‫نویدقاسمی‬ 1 1 ‫گروه‬ ‫فيزيك‬ ‫نظري‬ ‫و‬ ‫اختر‬ ‫فيزيك،‬ ‫دانشكده‬ ‫فيزيك،‬ ‫دانشگاه‬ ‫تبريز،‬ ‫تبريز‬ ‫چکیده‬ ‫پیمایش‬ ‫در‬ ‫را‬ ‫تنیدگی‬ ‫هم‬ ‫در‬ ‫هندسی‬ ‫ی‬ ‫سنجه‬ ‫مایورانا‬ ‫نمایش‬ ‫ی‬ ‫وسیله‬ ‫به‬ ‫ما‬ ‫مربعی‬ ‫گراف‬ ‫روی‬ ‫کوانتومی‬ ‫از‬ ‫استفاده‬ ‫با‬ ‫منظور‬ ‫این‬ ‫برای‬ ، ‫کنیم‬ ‫می‬ ‫حساب‬ ‫کوان‬ ‫پیمایش‬ ‫تومی،‬ ‫چند‬ ‫...

A new method for the construction of the binary quantum stabilizer codes is provided, where the construction is based on Abelian group association schemes. Association schemes were originally by Bose and his co-workers in the design of statistical experiments. Since that point of inception, the concept has proves useful in the study of group action...

We investigate the quantum networks that their nodes are considered as quantum harmonic oscillators. The entanglement of the ground state can be used to quantify the amount of information one part of a network shares with the other part of the system. The networks which we studied in this paper, are called strongly regular graphs (SRG). These kinds...

We investigate the entanglement of the ground state in the quantum networks that their nodes are considered as quantum harmonic oscillators. To this aim, the Schmidt numbers and entanglement entropy between two arbitrary partitions of a network, are calculated. In partitioning an arbitrary graph into two parts there are some nodes in each parts whi...

Fluctuation properties of a SU(1,1)-based transitional Hamiltonian in the U(5)-SO(6)transitional region are considered in the nearest neighbor spacing statistics.Energy spectra are determined via Bethe-Ansatz method which contains an extraction of Hamiltonian parameters from experimental data of nuclei provide empirical evidences for the considered...

Fluctuation properties of a (1,1) SU-based transitional Hamiltonian in the (5) (6) U SO ↔ transitional region are considered in the nearest neighbor spacing statistics. Energy spectra are determined via Bethe-Ansatz method which contains an extraction of Hamiltonian parameters from experimental data of nuclei provide empirical evidences for the con...