Dimensions, lengths, and separability in finite-dimensional quantum systems

DOI10.1063/1.4790405zbMath1280.81021arXiv1206.3775OpenAlexW3106267637MaRDI QIDQ5396289

Lin Chen, Dragomir Ž. Djoković

Publication date: 5 February 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.3775

Mathematics Subject Classification ID

Quantum coherence, entanglement, quantum correlations (81P40) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items (11)

Bounding the separable rank via polynomial optimization ⋮ Global Geometric Difference Between Separable and Positive Partial Transpose States ⋮ The role of phases in detecting three-qubit entanglement ⋮ C∗-extreme points of entanglement breaking maps ⋮ Separability criterion for three-qubit states with a four dimensional norm ⋮ Separable states with unique decompositions ⋮ Entanglement breaking rank and the existence of SIC POVMs ⋮ Three-qubit separable states of length ten with unique decompositions ⋮ On the geometric probability of entangled mixed states ⋮ Decomposition of completely symmetric states ⋮ Exposedness of Choi-Type Entanglement Witnesses and Applications to Lengths of Separable States

Cites Work

• Unextendible product bases, uncompletable product bases and bound entanglement
• Separability of mixed states: necessary and sufficient conditions.
• Separability criterion and inseparable mixed states with positive partial transposition.
• Symmetric informationally complete–positive operator valued measures and the extended Clifford group
• Separability Criterion for Density Matrices
• Distillability and PPT entanglement of low-rank quantum states

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