Constructing 2 × 2 × 4 and 4 × 4 unextendible product bases and positive-partial-transpose entangled states

DOI10.1080/03081087.2019.1588849zbMath1458.81009arXiv1810.08932OpenAlexW2921745499MaRDI QIDQ4965578

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Publication date: 6 March 2021

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.08932

zbMATH Keywords

entanglementpositive partial transpose (PPT)unextendible product basis (UPB)four qubit system

Mathematics Subject Classification ID

Many-body theory; quantum Hall effect (81V70) Quantum coherence, entanglement, quantum correlations (81P40) Entanglement measures, concurrencies, separability criteria (81P42) Special bases (entangled, mutual unbiased, etc.) (81P55)

Related Items

The construction of 7-qubit unextendible product bases of size ten ⋮ Multipartite unextendible product bases and quantum security ⋮ \(H_2\)-reducible matrices in six-dimensional mutually unbiased bases ⋮ On the distillability problem of two-copy \(4\times 4\) Werner states: matrices \(A\), \(B\) of at most four nonzero entries ⋮ Extension of the unextendible product bases of 5-qubit under coarsening the system ⋮ Mutually unbiased bases containing a complex Hadamard matrix of Schmidt rank three ⋮ The unextendible product bases of four qubits: Hasse diagrams

Uses Software

• QETLAB
• QubitUPBSearch

Cites Work

• Unnamed Item
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