• DOI:10.1007/s11128-017-1568-0
• Corpus ID: 43754114

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

@article{Bhaskara2016GeneralizedCM,
  title={Generalized concurrence measure for faithful quantification of multiparticle pure state entanglement using Lagrange’s identity and wedge product},
  author={Vineeth S. Bhaskara and Prasanta K. Panigrahi},
  journal={Quantum Information Processing},
  year={2016},
  volume={16},
  pages={1-15}
}

• Vineeth S. Bhaskara, P. Panigrahi
• Published 1 July 2016
• Physics
• Quantum Information Processing

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.