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Construction of quantum states with bound entanglement

1999/11/12 by Dagmar Bruß, Dagmar Bruss, Asher Peres · 109 citations
Computer Science · Mathematics · Physics and Astronomy · #Bound state #Density matrix #Eigenvalues and eigenvectors #Mathematical analysis #Mathematical physics #Mathematics #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum discord #Quantum entanglement #Quantum mechanics #Quantum state #Theoretical physics #Upper and lower bounds #quant-ph

paper · pdf · doi:10.1103/physreva.61.030301

published in Physical Review A 61(3) (American Physical Society) · 5 pages

arxiv created 1999/11/12 · openalex publication_date 2000/02/04 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We introduce a family of bound-entangled quantum states in 3\ifmmode×\else\texttimes\fi3 dimensions. Their density matrix \ensuremathρ depends on seven independent parameters and has four different nonvanishing eigenvalues.

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