Unextendible and strongly uncompletable product bases

DOI10.1063/5.0195550MaRDI QIDQ6646356

Fei Shi, Hui-Juan Zuo, Xiao-Fan Zhen, Shao-Ming Fei

Publication date: 2 December 2024

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

Mathematics Subject Classification ID

Quantum measurement theory, state operations, state preparations (81P15) Quantum coherence, entanglement, quantum correlations (81P40) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Special bases (entangled, mutual unbiased, etc.) (81P55)

Cites Work

• Unextendible product bases, uncompletable product bases and bound entanglement
• Nonlocal sets of orthogonal multipartite product states with less members
• The unextendible product bases of four qubits: Hasse diagrams
• Nonlocal sets of orthogonal product states with the less amount of elements in tripartite quantum systems
• The local indistinguishability of multipartite product states
• Unextendible product bases and 1-factorization of complete graphs
• The minimum size of unextendible product bases in the bipartite case (and some multipartite cases)
• The construction of 7-qubit unextendible product bases of size ten
• Nonlocality, Asymmetry, and Distinguishing Bipartite States
• Description of rank four entangled states of two qutrits having positive partial transpose
• The structure of qubit unextendible product bases
• Unextendible product basis for fermionic systems
• Multiqubit UPB: the method of formally orthogonal matrices
• Constructing 2 × 2 × 4 and 4 × 4 unextendible product bases and positive-partial-transpose entangled states
• Strong quantum nonlocality for unextendible product bases in heterogeneous systems
• Separability problem for multipartite states of rank at most 4
• Unextendible product bases and locally unconvertible bound entangled states
• Unextendible product bases

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