An approach to constructing genuinely entangled subspaces of maximal dimension

DOI10.1007/s11128-020-02688-4OpenAlexW2995471633MaRDI QIDQ2681530

Remigiusz Augusiak, Maciej Demianowicz

Publication date: 3 February 2023

Published in: Quantum Information Processing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.07536

zbMATH Keywords

entanglementspaces of matrices of bounded rankcompletely entangled subspacegenuinely entangled subspacegenuinely multiparty entangled

Mathematics Subject Classification ID

Quantum coherence, entanglement, quantum correlations (81P40) Special bases (entangled, mutual unbiased, etc.) (81P55)

Related Items (2)

Construction of genuinely entangled subspaces and the associated bounds on entanglement measures for mixed states ⋮ Construction of genuinely entangled multipartite subspaces from bipartite ones by reducing the total number of separated parties

Uses Software

• QETLAB

Cites Work

• Product numerical range in a space with tensor product structure
• Higher-rank numerical ranges and compression problems
• On the maximal dimension of a completely entangled subspace for finite level quantum systems
• Detection of genuine multipartite entanglement in multipartite systems
• \(4\times 4\) unextendible product basis and genuinely entangled space
• Ein algorithmisches Kriterium für die Lösbarkeit eines algebraischen Gleichungssystems
• Decoherence-Free Communication over Multiaccess Quantum Channels
• A note on the optimality of decomposable entanglement witnesses and completely entangled subspaces
• On the dimension of subspaces with bounded Schmidt rank
• Optimal quantum error correcting codes from absolutely maximally entangled states
• Maximally nonlocal subspaces
• Restricted numerical range: A versatile tool in the theory of quantum information
• The significance of theC-numerical range and the localC-numerical range in quantum control and quantum information
• A COMPLETELY ENTANGLED SUBSPACE OF MAXIMAL DIMENSION
• Spaces of linear transformations of equal rank
• Multi-partite entanglement can speed up quantum key distribution in networks

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