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Title: Inductive entanglement classification of four qubits under stochastic local operations and classical communication

Abstract

Using an inductive approach to classify multipartite entangled states under stochastic local operations and classical communication introduced recently by the authors [Phys. Rev. A 74, 052336 (2006)], we give the complete classification of four-qubit entangled pure states. Apart from the expected degenerate classes, we show that there exist eight inequivalent ways to entangle four qubits. In this respect, permutation symmetry is taken into account and states with a structure differing only by parameters inside a continuous set are considered to belong to the same class.

Authors:
;  [1];  [2];  [3];  [4]
  1. Instituto de Matematicas y Fisica Fundamental, CSIC, Serrano 113-bis, 28006 Madrid (Spain)
  2. Dpto. Fisica Teorica, Universidad Autonoma de Madrid, 28049 Cantoblanco, Madrid (Spain)
  3. Physics Department, ASC, and CeNS, Ludwig-Maximilians-Universitaet, Theresienstrasse 37, 80333 Munich (Germany)
  4. (Peru)
Publication Date:
OSTI Identifier:
20982085
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. A; Journal Volume: 75; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevA.75.022318; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CLASSIFICATION; COMMUNICATIONS; QUANTUM COMPUTERS; QUANTUM ENTANGLEMENT; QUANTUM MECHANICS; QUBITS; STOCHASTIC PROCESSES; SYMMETRY

Citation Formats

Lamata, L., Leon, J., Salgado, D., Solano, E., and Seccion Fisica, Departamento de Ciencias, Pontificia Universidad Catolica del Peru, Apartado Postal 1761, Lima. Inductive entanglement classification of four qubits under stochastic local operations and classical communication. United States: N. p., 2007. Web. doi:10.1103/PHYSREVA.75.022318.
Lamata, L., Leon, J., Salgado, D., Solano, E., & Seccion Fisica, Departamento de Ciencias, Pontificia Universidad Catolica del Peru, Apartado Postal 1761, Lima. Inductive entanglement classification of four qubits under stochastic local operations and classical communication. United States. doi:10.1103/PHYSREVA.75.022318.
Lamata, L., Leon, J., Salgado, D., Solano, E., and Seccion Fisica, Departamento de Ciencias, Pontificia Universidad Catolica del Peru, Apartado Postal 1761, Lima. Thu . "Inductive entanglement classification of four qubits under stochastic local operations and classical communication". United States. doi:10.1103/PHYSREVA.75.022318.
@article{osti_20982085,
title = {Inductive entanglement classification of four qubits under stochastic local operations and classical communication},
author = {Lamata, L. and Leon, J. and Salgado, D. and Solano, E. and Seccion Fisica, Departamento de Ciencias, Pontificia Universidad Catolica del Peru, Apartado Postal 1761, Lima},
abstractNote = {Using an inductive approach to classify multipartite entangled states under stochastic local operations and classical communication introduced recently by the authors [Phys. Rev. A 74, 052336 (2006)], we give the complete classification of four-qubit entangled pure states. Apart from the expected degenerate classes, we show that there exist eight inequivalent ways to entangle four qubits. In this respect, permutation symmetry is taken into account and states with a structure differing only by parameters inside a continuous set are considered to belong to the same class.},
doi = {10.1103/PHYSREVA.75.022318},
journal = {Physical Review. A},
number = 2,
volume = 75,
place = {United States},
year = {Thu Feb 15 00:00:00 EST 2007},
month = {Thu Feb 15 00:00:00 EST 2007}
}