Y. Omar

Publications (7)7.37 Total impact

• Source

  Available from: arxiv.org

  Article: Indistinguishable Particles in Quantum Mechanics: An Introduction

  Y. Omar
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  ABSTRACT: In this article, we discuss the identity and indistinguishability of quantum systems and the consequent need to introduce an extra postulate in Quantum Mechanics to correctly describe situations involving indistinguishable particles. This is, for electrons, the Pauli Exclusion Principle, or in general, the Symmetrization Postulate. Then, we introduce fermions and bosons and the distributions respectively describing their statistical behaviour in indistinguishable situations. Following that, we discuss the spin-statistics connection, as well as alternative statistics and experimental evidence for all these results, including the use of bunching and antibunching of particles emerging from a beam splitter as a signature for some bosonic or fermionic states. Comment: To appear in Contemp. Phys
  11/2005;
• Source

  Available from: arxiv.org

  Article: Particle Statistics in Quantum Information Processing

  Y. Omar
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  ABSTRACT: Particle statistics is a fundamental part of quantum physics, and yet its role and use in the context of quantum information have been poorly explored so far. After briefly introducing particle statistics and the Symmetrization Postulate, I will argue that this fundamental aspect of Nature can be seen as a resource for quantum information processing and I will present examples showing how it is possible to do useful and efficient quantum information processing using only the effects of particles statistics.
  01/2005;
• Source

  Available from: ArXiv

  Article: Quantum Walk on a Line with Two Entangled Particles

  Y. Omar, N. Paunkovic, L. Sheridan, S Bose
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  ABSTRACT: We introduce the concept of a quantum walk with two particles and study it for the case of a discrete time walk on a line. A quantum walk with more than one particle may contain entanglement, thus offering a resource unavailable in the classical scenario and which can present interesting advantages. In this work, we show how the entanglement and the relative phase between the states describing the coin degree of freedom of each particle will influence the evolution of the quantum walk. In particular, the probability to find at least one particle in a certain position after $N$ steps of the walk, as well as the average distance between the two particles, can be larger or smaller than the case of two unentangled particles, depending on the initial conditions we choose. This resource can then be tuned according to our needs, in particular to enhance a given application (algorithmic or other) based on a quantum walk. Experimental implementations are briefly discussed.
  12/2004;
• Source

  Available from: Artur Ekert

  Article: Optimal State Discrimination Using Particle Statistics

  S Bose, A. Ekert, Y. Omar, N. Paunkovic, V. Vedral
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  ABSTRACT: We present an application of particle statistics to the problem of optimal ambiguous discrimination of quantum states. The states to be discriminated are encoded in the internal degrees of freedom of identical particles, and we use the bunching and antibunching of the external degrees of freedom to discriminate between various internal states. We show that we can achieve the optimal single-shot discrimination probability using only the effects of particle statistics. We discuss interesting applications of our method to detecting entanglement and purifying mixed states. Our scheme can easily be implemented with the current technology.
  09/2003;
• Source

  Available from: ArXiv

  Article: Entanglement concentration using quantum statistics.

  N Paunković, Y Omar, S Bose, V Vedral
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  ABSTRACT: We propose an entanglement concentration scheme which uses only the effects of quantum statistics of indistinguishable particles. This establishes the fact that useful quantum information processing can be accomplished by quantum statistics alone. Because of the basis independence of statistical effects, our protocol requires less knowledge of the initial state than most entanglement concentration schemes. Moreover, no explicit controlled operation is required at any stage.
  Physical Review Letters 06/2002; 88(18):187903. · 7.37 Impact Factor
• Source

  Available from: psu.edu

  Article: Spin-Space Entanglement Transfer and Quantum Statistics

  Y. Omar, N. Paunkovic, S Bose, V. Vedral
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  ABSTRACT: Both the topics of entanglement and particle statistics have aroused enormous research interest since the advent of quantum mechanics. Using two pairs of entangled particles we show that indistinguishability enforces a transfer of entanglement from the internal to the spatial degrees of freedom without any interaction between these degrees of freedom. Moreover, sub-ensembles selected by local measurements of the path will in general have different amounts of entanglement in the internal degrees of freedom depending on the statistics (either fermionic or bosonic) of the particles involved. Comment: 5 figures. Various changes for clarification and references added
  05/2001;
• Source

  Available from: utl.pt

  Article: Discrete time quantum walk on a line with two particles

  L Sheridan, N Paunkovi, Y Omar, S Bose
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  ABSTRACT: We introduce the idea of a quantum walk with two particles and study it for the case of a discrete time walk on a line[1]. We consider both separable and maximally entangled initial conditions, and show how the entanglement and the relative phase between the states describing the coin degree of freedom of each particle will influence the evolution of the quantum walk. In particular, these factors will have consequences on the distance between the particles and the probability to find them in a given point, yielding results that cannot be obtained from a separable initial state, be it pure or mixed. Finally, we review briefly proposals for implementations.