Construction of noisy bound entangled states and the range criterion

DOI10.1016/j.physleta.2019.04.003zbMath1476.81013arXiv1808.00294OpenAlexW2934348837WikidataQ128097111 ScholiaQ128097111MaRDI QIDQ2231208

Saronath Halder, Ritabrata Sengupta

Publication date: 29 September 2021

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.00294

zbMATH Keywords

unextendible product basisbound entanglementpositive partial transposerange criterionedge stateuncompletable product basis

Mathematics Subject Classification ID

Quantum coherence, entanglement, quantum correlations (81P40) Entanglement measures, concurrencies, separability criteria (81P42) Special bases (entangled, mutual unbiased, etc.) (81P55)

Related Items (6)

Strong quantum nonlocality for unextendible product bases in heterogeneous systems ⋮ A practical approach to SOS relaxations for detecting quantum entanglement ⋮ Nonlocality of tripartite orthogonal product states ⋮ Witness operator provides better estimate of the lower bound of concurrence of bipartite bound entangled states in \(d_1\otimes d_2\)-dimensional system ⋮ Unextendible product bases, bound entangled states, and the range criterion ⋮ Genuine entanglement, distillability and quantum information masking under noise

Uses Software

• QETLAB

Cites Work

• Positive semidefinite biquadratic forms
• Unextendible product bases, uncompletable product bases and bound entanglement
• Classical complexity and quantum entanglement
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• Quantum entanglement
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• Separability Criterion for Density Matrices
• Mixed-State Entanglement and Distillation: Is there a “Bound” Entanglement in Nature?
• Characterization of separable states and entanglement witnesses
• General Paradigm for Distilling Classical Key From Quantum States
• Entanglement witnesses: construction, analysis and classification
• A Few Steps More Towards NPT Bound Entanglement
• A family of indecomposable positive linear maps based on entangled quantum states
• Separability of \(n\)-particle mixed states: necessary and sufficient conditions in terms of linear maps

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