Rank two bipartite bound entangled states do not exist

DOI10.1016/S0304-3975(01)00376-0zbMath1026.68058arXivquant-ph/9910122WikidataQ62168093 ScholiaQ62168093MaRDI QIDQ1870555

Ashish V. Thapliyal, Barbara M. Terhal, John A. Smolin, Paweł Horodecki

Publication date: 14 May 2003

Published in: Theoretical Computer Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/9910122

zbMATH Keywords

separability condition

Mathematics Subject Classification ID

Modes of computation (nondeterministic, parallel, interactive, probabilistic, etc.) (68Q10) Quantum computation (81P68)

Related Items (20)

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Uses Software

• QETLAB

Cites Work

• Unnamed Item
• Quantum cryptography: public key distribution and coin tossing
• Quantum \(\alpha\)-entropy inequalities: independent condition for local realism?
• Separability criterion and inseparable mixed states with positive partial transposition.
• The asymptotic entanglement cost of preparing a quantum state
• Separability Criterion for Density Matrices
• Quantifying Entanglement
• Mixed-State Entanglement and Distillation: Is there a “Bound” Entanglement in Nature?
• Mixed-state entanglement and quantum error correction
• Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
• Quantum theory: concepts and methods

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