Physical Review A

Entropy of entangled states and SU(1,1) and SU(2) symmetries

Ademir Eugenio de Santana, F. C. Khanna, M. Revzen

Published Feb 26, 2002• 16 citations

Abstract

Based on a recent definition of a measure for entanglement [Plenio and Vedral, Contemp. Phys. 39, 431 (1998)], examples of maximum entangled states are presented. The construction of such states, which have symmetry SU(1,1) and SU(2), follows the guidance of thermofield dynamics formalism.

DOI: 10.1103/physreva.65.032119

Related papers

Caculating the relative entropy of entanglement

Shengjun Wu, Yongde Zhang

We extend Vedral and Plenio's theorem (theorem 3 in Phys. Rev. A 57, 1619) to a more general case, and obtain the relative entropy of entanglement for a class of mixed states.

Apr 5, 20000 citations

Entropy squeezing and entanglement of the interaction between SU(1,1) and SU(2) quantum systems

M. Sebawe Abdalla, M. M. A. Ahmed

Optics CommunicationsJan 5, 201126 citations

Quantum Entanglement in Coupled Lossy Waveguides Using SU(2) and SU(1, 1) Thermo-Algebras

Naveen Kumar Mogurampally, K. V. S. Shiv Chaitanya, Bindu A. Bambah

In this paper, the master equation for the coupled lossy waveguides is solved using the thermofield dynamics (TFD) formalism. This formalism allows the use of the underlying symmetry algebras SU(2) and SU(1, 1), associated with the Hamiltonian of the coupled lossy waveguides, to compute entanglement and decoherence as a function of time for various input states such as NOON states and thermal states.

Journal of Modern PhysicsJan 1, 20151 citation

Thermodynamics and the measure of entanglement

Sandu Popescu, Daniel Rohrlich

We point out formal correspondences between thermodynamics and entanglement. By applying them to previous work, we show that entropy of entanglement is the unique measure of entanglement for pure states.

arXiv:quant-ph/9610044Physical Review ANov 1, 1997433 citations

Quantum entanglement in coupled lossy waveguides using SU(2) and SU(1,1) Thermo-algebras

Mohan Kumar, K. V. S. Shiv Chaitanya, Bindu A. Bambah

In this paper, the master equation for the coupled lossy waveguides is solved using the thermofield dynamics(TFD) formalism. This formalism allows the use of the underlying symmetry algebras SU(2) and SU(1,1), associated with the Hamiltonian of the coupled lossy waveguides,to compute entanglement and decoherence as a function of time for various input states such as NOON states and thermal states.

arXiv:1507.01539Jul 6, 20150 citations

ENTANGLEMENT ENTROPY OF SYMMETRICAL STATES

И. Е. Волков, V. V. Mazurenko

This work explores quantum correlations in permutationally and translationally invariant wave functions. We show that the entanglement entropy of these states is determined by means of classical mutual information.

Jan 1, 20260 citations