Quantum Correlations in Systems of Indistinguishable Particles
Annals of Physics 299 (2002), 88-127 We discuss quantum correlations in systems of indistinguishable particles in relation to entanglement in composite quantum systems consisting of well separated subsystems. Our studies are motivated by recent experiments and theoretical investigations on quantum d...
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Main Authors | , , , |
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Format | Journal Article |
Language | English |
Published |
14.03.2002
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Subjects | |
Online Access | Get full text |
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Summary: | Annals of Physics 299 (2002), 88-127 We discuss quantum correlations in systems of indistinguishable particles in
relation to entanglement in composite quantum systems consisting of well
separated subsystems. Our studies are motivated by recent experiments and
theoretical investigations on quantum dots and neutral atoms in microtraps as
tools for quantum information processing. We present analogies between
distinguishable particles, bosons and fermions in low-dimensional Hilbert
spaces. We introduce the notion of Slater rank for pure states of pairs of
fermions and bosons in analogy to the Schmidt rank for pairs of distinguishable
particles. This concept is generalized to mixed states and provides a
correlation measure for indistinguishable particles. Then we generalize these
notions to pure fermionic and bosonic states in higher-dimensional Hilbert
spaces and also to the multi-particle case. We review the results on quantum
correlations in mixed fermionic states and discuss the concept of fermionic
Slater witnesses. Then the theory of quantum correlations in mixed bosonic
states and of bosonic Slater witnesses is formulated. In both cases we provide
methods of constructing optimal Slater witnesses that detect the degree of
quantum correlations in mixed fermionic and bosonic states. |
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DOI: | 10.48550/arxiv.quant-ph/0203060 |