Identical particles and entanglement

2005/09/01 by G. C. Ghirardi, GianCarlo Ghirardi, Luca Marinatto +1 · 46 citations
Computer Science · Physics and Astronomy · #Bipartite graph #Entropy (arrow of time) #Identical particles #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum discord #Quantum entanglement #Statistical Mechanics and Entropy #Von Neumann architecture #Von Neumann entropy #quant-ph

paper · pdf · doi:10.1134/1.2055932

published in Optics and Spectroscopy 99(3), 386-390 (Pleiades Publishing) · 8 pages; Latex; Talk delivered at the International Conference on Quantum Optics 2004, Minsk, Belarus

openalex publication_date 2005/09/01 · arxiv created 2005/09/28 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We review two general criteria for deciding whether a pure bipartite quantum state describing a system of two identical particles is entangled or not. The first one considers the possibility of attributing a complete set of objective properties to each particle belonging to the composed system, while the second is based both on the consideration of the Slater-Schmidt number of the fermionic and bosonic analogue of the Schmidt decomposition and on the evaluation of the von Neumann entropy of the one-particle reduced statistical operators.

Citations

• Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
• Discussion of Probability Relations between Separated Systems
• Quantum cryptography based on Bell’s theorem
• General criterion for the entanglement of two indistinguishable particles
• Algorithms for quantum computation: discrete logarithms and factoring