Orthogonal product bases of four qubits

DOI10.1088/1751-8121/AA8546zbMath1375.81050arXiv1606.06254OpenAlexW3100431838MaRDI QIDQ4588405

Lin Chen, Dragomir Ž. Djoković

Publication date: 26 October 2017

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

Full work available at URL: https://arxiv.org/abs/1606.06254

zbMATH Keywords

permutationqubitorthogonal product basis

Mathematics Subject Classification ID

Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Many-body theory; quantum Hall effect (81V70) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items (9)

Nonexistence of \(n\)-qubit unextendible product bases of size \(2^n-5\) ⋮ The construction of 7-qubit unextendible product bases of size ten ⋮ Constructing unextendible product bases from multiqubit ones ⋮ Multipartite unextendible product bases and quantum security ⋮ Extension of the unextendible product bases of 5-qubit under coarsening the system ⋮ Multiqubit UPB: the method of formally orthogonal matrices ⋮ Constructing 2 × 2 × 4 and 4 × 4 unextendible product bases and positive-partial-transpose entangled states ⋮ The unextendible product bases of four qubits: Hasse diagrams ⋮ \(4\times 4\) unextendible product basis and genuinely entangled space

Uses Software

• QETLAB

Cites Work

• On the Schmidt-rank-three bipartite and multipartite unitary operator
• Unextendible product bases, uncompletable product bases and bound entanglement
• Everything you always wanted to know about LOCC (but were afraid to ask)
• Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
• Characterizing Locally Indistinguishable Orthogonal Product States

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