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Optimal universal two-particle entanglement processes in arbitrary dimensional Hilbert spaces

2000/06/08 by G. Alber, A. Delgado, Alber, G. +3
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0006040

arxiv created 2000/06/08 · openalex publication_date 2000/06/08 · arxiv updated 2009/12/01 · openalex created_date 2021/12/06 · openalex updated_date 2026/07/28

Abstract

Universal two-particle entanglement processes are analyzed in arbitrary dimensional Hilbert spaces. On the basis of this analysis the class of possible optimal universal entanglement processes is determined whose resulting output states do not contain any separable states. It is shown that these processes form a one-parameter family. For all Hilbert space dimensions larger than two the resulting optimally entangled output states are mixtures of anti-symmetric states which are freely entangled and which also preserve information about input states. Within this one-parameter family there is only one process by which all information about any input state is destroyed completely.

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