Generalized entanglement measure for continuous-variable systems

  title={Generalized entanglement measure for continuous-variable systems},
  author={S Nibedita Swain and Vineeth S. Bhaskara and Prasanta K. Panigrahi},
  journal={Physical Review A},
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 strictly positive for entangled states and vanishes for all separable states. We present an extension of entanglement measure to general pure continuous variable states of multiple degrees of freedom by generalizing the Lagrange’s identity and wedge product framework proposed by Bhaskara and Panigrahi [Quantum Inf. Process. 16 , 118… 

Figures from this paper

Two Mode Photon Added Schrödinger Cat States: Nonclassicality and Entanglement

: The concept of photon added two-mode Schrödinger cat state in which both modes are independent is introduced, their non-classical properties and entanglement are studied. The introduced states



Quantum Information Processing 16

  • 1
  • 2017

New Journal of Physics 7

  • 211
  • 2005

Physical Review Letters 101

  • 130402
  • 2008

Disappearance of squeezing in superposition states and its manifestation in the energy density

We have classified the superposition of squeezed wavepackets into two kinds and studied their quadrature squeezing. We have shown that the squeezing and higher-order squeezing in the quadrature

Geometric quantification of multiparty entanglement through orthogonality of vectors

The wedge product of vectors has been shown to yield the generalised entanglement measure I-concurrence, wherein the separability of the multiparty qubit system arises from the parallelism of vectors

Quantifying parallelism of vectors is the quantification of distributed n-party entanglement

The three way distributive entanglement is shown to be related to the parallelism of vectors. Using a measurement based approach we form a set of 2-dimensional vectors, representing the post

Minimum distance of the boundary of the set of PPT states from the maximally mixed state using the geometry of the positive semidefinite cone

The minimum distance between the set of bipartite n-qudit density matrices with a positive partial transpose and the maximally mixed state is obtained as 1, which is also the minimum distance within which all quantum states are separable.

Journal of Statistical Mechanics: theory and experiment

On the geometry of entangled states

The basic question that is addressed in this paper is finding the closest separable state for a given entangled state, measured with the Hilbert-Schmidt distance. While this problem is in general

Geometric phase memories

The moment of conception of the geometric phase can be pinpointed precisely, but related ideas had been formulated before, in various guises. Not less varied were the ramifications that became clear