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Statistics of orbital entanglement production in quantum-chaotic dots

2007/12/31 by Victor A. Gopar, Víctor A. Gopar, Diego Frustaglia · 1 citation
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum chaos and dynamical systems #cond-mat.mes-hall #quant-ph

paper · pdf · doi:10.1103/physrevb.77.153403

published as Phys. Rev. B 77, 153403 (2008) · Added a reference and minor changes

openalex publication_date 2008/04/03 · arxiv created 2008/04/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The production of orbitally entangled electrons in quantum-chaotic dots is investigated from a statistical point of view. The degree of entanglement is quantified through the concurrence and the entanglement of formation. We calculate the complete statistical distributions of the entanglement measures by using random matrix theory. Simple analytical expressions are provided for the concurrence distributions. We identify clear signatures of time-reversal invariance in the production of entanglement at the level of the entanglement-measure distributions, such as the ability of producing maximally entangled (Bell) states, which passed unnoticed in previous works, where only the first two moments of the distributions were studied.

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