Entanglement witnesses from mutually unbiased measurements
Open Access
- 26 November 2021
- journal article
- research article
- Published by Springer Nature in Scientific Reports
- Vol. 11 (1) , 1-9
Abstract
A new family of positive, trace-preserving maps is introduced. It is defined using the mutually unbiased measurements, which generalize the notion of mutual unbiasedness of orthonormal bases. This family allows one to define entanglement witnesses whose indecomposability depends on the characteristics of the associated measurement operators. We provide examples of indecomposable witnesses and compare their entanglement detection properties with the realignment criterion.Keywords
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Funding Information
- Fundacja na rzecz Nauki Polskiej
- Narodowe Centrum Nauki (2018/30/A/ST2/00837)
This publication has 39 references indexed in Scilit:
- Spectral conditions for entanglement witnesses versus bound entanglementPhysical Review A, 2009
- Quantum entanglementReviews of Modern Physics, 2009
- Entanglement detectionPhysics Reports, 2009
- Separability and entanglement of quantum states based on covariance matricesJournal of Physics A: Mathematical and Theoretical, 2008
- Covariance Matrices and the Separability ProblemPhysical Review Letters, 2007
- Entanglement Detection by Local Orthogonal ObservablesPhysical Review Letters, 2005
- Test for entanglement using physically observable witness operators and positive mapsPhysical Review A, 2004
- Bell inequalities and the separability criterionPhysics Letters A, 2000
- Separability of mixed states: necessary and sufficient conditionsPhysics Letters A, 1996
- Optimal state-determination by mutually unbiased measurementsAnnals of Physics, 1989