Conservation law for distributed entanglement of formation and quantum discord

Journal Article · Fri Jul 15 04:00:00 EDT 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.84.012313· OSTI ID:22038619

Fanchini, Felipe F ^[1]; Cornelio, Marcio F; Oliveira, Marcos C. de; Caldeira, Amir O ^[2]

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1. Departamento de Fisica, Universidade Federal de Ouro Preto, CEP 35400-000, Ouro Preto, Minas Gerais (Brazil)
2. Instituto de Fisica Gleb Wataghin, Universidade Estadual de Campinas, P.O. Box 6165, CEP 13083-970, Campinas, Sao Paulo (Brazil)

We present a direct relation, based upon a monogamic principle, between entanglement of formation (EOF) and quantum discord (QD), showing how they are distributed in an arbitrary tripartite pure system. By extending it to a paradigmatic situation of a bipartite system coupled to an environment, we demonstrate that the EOF and the QD obey conservation relation. By means of this relation we show that in the deterministic quantum computer with one pure qubit the protocol has the ability to rearrange the EOF and the QD, which implies that quantum computation can be understood on a different basis as a coherent dynamics where quantum correlations are distributed between the qubits of the computer. Furthermore, for a tripartite mixed state we show that the balance between distributed EOF and QD results in a stronger version of the strong subadditivity of entropy.

• OSTI ID: 22038619
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 1 Vol. 84; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CONSERVATION LAWS
ENTROPY
MIXED STATES
QUANTUM COMPUTERS
QUANTUM ENTANGLEMENT
QUBITS