Mutually unbiased special entangled bases with Schmidt number 2 in \(\mathbb C^3 \otimes \mathbb C^{4k}\)

DOI10.1007/s11128-018-1824-yzbMath1386.81028OpenAlexW2791920496MaRDI QIDQ1746892

Yuan-Hong Tao, Yi-Fan Han, Xin-lei Yong, Gui-jun Zhang, Ling-shan Xu

Publication date: 26 April 2018

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

Full work available at URL: https://doi.org/10.1007/s11128-018-1824-y

zbMATH Keywords

mutually unbiased basesentangled statespecial entangled basis with Schmidt number 2 (SEB2)

Mathematics Subject Classification ID

Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Quantum coherence, entanglement, quantum correlations (81P40)

Related Items (8)

Local indistinguishability and incompleteness of entangled orthogonal bases: method to generate two-element locally indistinguishable ensembles ⋮ Construction of special entangled basis based on generalized weighing matrices ⋮ Bounds on the number of mutually unbiased entangled bases ⋮ Mutually unbiased special entangled bases with Schmidt number 2d in ℂ2d+1 ⊗ ℂ4d ⋮ Mutually unbiased maximally entangled bases in \(C^d\otimes C^d\) with \(d\) an odd prime power ⋮ Mutually unbiased property of maximally entangled bases and product bases in \(\mathbb{C}^d\otimes \mathbb{C}^d\) ⋮ Mutually unbiased property of special entangled bases ⋮ Mutually unbiased special entangled bases with Schmidt number 2d in ℂ2d+1 ⊗ ℂ4d

Uses Software

• QETLAB

Cites Work

• Mutually unbiasedness between maximally entangled bases and unextendible maximally entangled systems in \(\mathbb{C}^2\otimes\mathbb{C}^{2^k}\)
• Mutually unbiased maximally entangled bases for the bipartite system \(\mathbb C^d\otimes\mathbb C^{d^k}\)
• Unextendible product bases, uncompletable product bases and bound entanglement
• A note on mutually unbiased unextendible maximally entangled bases in \(\mathbb {C}^{2}\otimes \mathbb {C}^{3}\)
• Unextendible maximally entangled bases and mutually unbiased bases in \(\mathbb{C}^d \otimes \mathbb{C}^{d^\prime}\)
• Mutually unbiased maximally entangled bases in \(\mathbb C^d\otimes\mathbb C^{kd}\)
• Two types of maximally entangled bases and their mutually unbiased property in \(\mathbb {C}^{d}\otimes \mathbb {C}^{d'}\)
• The limited role of mutually unbiased product bases in dimension 6
• ON MUTUALLY UNBIASED BASES
• Entangled bases with fixed Schmidt number

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