Conservation law for distributed entanglement of formation and quantum discord

By Felipe Fernandes Fanchini, Marcio Fernando Cornelio, M. C. Oliveira, Amir Caldeira. 2010

135 citations recorded by the source corpus.

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.

Subfields: Artificial Intelligence

View Paper: https://www.semanticscholar.org/paper/72f296dca5433e81980ccf4c849dd6f95207de70

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Citations in the corpus

• The classical-quantum boundary for correlations: Discord and related measures (2011, background): “The same equation is first noted in (Cornelio et al., 2011; Fanchini et al., 2011a) in different contexts (see Secs.”