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Quantum Information Processing
Published in: Quantum Information Processing 5/2017

01-05-2017

Generalized concurrence measure for faithful quantification of multiparticle pure state entanglement using Lagrange’s identity and wedge product

Authors: Vineeth S. Bhaskara, Prasanta K. Panigrahi

Published in: Quantum Information Processing | Issue 5/2017

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Abstract

Concurrence, introduced by Hill and Wootters (Phys Rev Lett 78:5022, 1997), provides an important measure of entanglement for a general pair of qubits that is faithful: strictly positive for entangled states and vanishing for all separable states. Such a measure captures the entire content of entanglement, providing necessary and sufficient conditions for separability. We present an extension of concurrence to multiparticle pure states in arbitrary dimensions by a new framework using the Lagrange’s identity and wedge product representation of separability conditions, which coincides with the “I-concurrence” of Rungta et al. (Phys Rev A 64:042315, 2001) who proposed by extending Wootters’s spin-flip operator to a so-called universal inverter superoperator. Our framework exposes an inherent geometry of entanglement and may be useful for the further extensions to mixed and continuous variable states.
previous article Probing quantum coherence, uncertainty, steerability of quantum coherence and quantum phase transition in the spin model
next article Thermal entanglement and lower bound of the geometric discord for a two-qutrit system with linear coupling and nonuniform external magnetic field

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Appendix
Available only for authorised users
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Metadata
Title
Generalized concurrence measure for faithful quantification of multiparticle pure state entanglement using Lagrange’s identity and wedge product
Authors
Vineeth S. Bhaskara
Prasanta K. Panigrahi
Publication date
01-05-2017
Publisher
Springer US
Published in
Quantum Information Processing / Issue 5/2017
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-017-1568-0

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