An extension of Bravyi-Smolin's construction for UMEBs

DOI10.1007/s11128-021-03312-9OpenAlexW3159779505MaRDI QIDQ2099592

Jeremy Levick, Mizanur Rahaman

Publication date: 24 November 2022

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

Full work available at URL: https://arxiv.org/abs/2105.00975

zbMATH Keywords

equiangular linesequiangular projectionsmixed-unitary rankoptimal subspace packingsymmetric subspacesunextendible maximally entangled bases (UMEBs)unextendible product bases (UPB)Werner-Holevo channel

Mathematics Subject Classification ID

Special bases (entangled, mutual unbiased, etc.) (81P55)

Uses Software

• QETLAB

Cites Work

• Entanglement detection via general SIC-povms
• A group-theoretic framework for the construction of packings in Grassmannian spaces
• Unextendible product bases, uncompletable product bases and bound entanglement
• A proof for the existence of nonsquare unextendible maximally entangled bases
• Equiangular subspaces in Euclidean spaces
• Combinatorial constructions of packings in Grassmannian spaces
• Unextendible maximally entangled bases in \(\mathbb C^{pd}\otimes \mathbb C^{qd}\)
• On the mixed-unitary rank of quantum channels
• Mutually unbiased unextendible maximally entangled bases in some systems of higher dimension
• Entanglement breaking rank and the existence of SIC POVMs
• Maximal orthoplectic fusion frames from mutually unbiased bases and block designs
• Packing Lines, Planes, etc.: Packings in Grassmannian Spaces
• A family of indecomposable positive linear maps based on entangled quantum states

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