Symmetric Extensions of Quantum States and Local Hidden Variable Theories

DOI10.1103/PhysRevLett.90.157903zbMath1267.81020arXivquant-ph/0210053WikidataQ52017193 ScholiaQ52017193MaRDI QIDQ2837723

Barbara M. Terhal, Andrew C. Doherty, David J. Schwab

Publication date: 11 July 2013

Published in: Physical Review Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0210053

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Quantum measurement theory, state operations, state preparations (81P15)

Related Items (15)

Quantum de Finetti theorems under local measurements with applications ⋮ One-and-a-half quantum de Finetti theorems ⋮ ENTANGLEMENT AND FRUSTRATION IN ORDERED SYSTEMS ⋮ Heralded channel Holevo superadditivity bounds from entanglement monogamy ⋮ Full Bell locality of a noisy state forN⩾ 3 nonlocally entangled qudits ⋮ Bell's nonlocality in a general nonsignaling case: Quantitatively and conceptually ⋮ Gaussian quantum marginal problem ⋮ Symmetric extendibility for qudits and tolerable error rates in quantum cryptography ⋮ Monogamy of non-local quantum correlations ⋮ Monogamy of correlations versus monogamy of entanglement ⋮ Quantum cloning ⋮ On exchangeable continuous variable systems ⋮ A most compendious and facile quantum de Finetti theorem ⋮ Context-invariant quasi hidden variable (qHV) modelling of all joint von Neumann measurements for an arbitrary Hilbert space ⋮ Local quasi hidden variable modelling and violations of Bell-type inequalities by a multipartite quantum state

Cites Work

• Symmetric states of composite systems
• Correlation polytopes: Their geometry and complexity
• An application of Bell's inequalities to a quantum state extension problem
• Mixed-State Entanglement and Distillation: Is there a “Bound” Entanglement in Nature?
• Bound Entanglement Can Be Activated
• Semidefinite Programming
• Separability properties of tripartite states with<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>U</mml:mi><mml:mo>⊗</mml:mo><mml:mi>U</mml:mi><mml:mo>⊗</mml:mo><mml:mi>U</mml:mi></mml:math>symmetry
• Bound Entanglement and Continuous Variables
• Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model

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