Conservation law for distributed entanglement of formation and quantum discord

Details Conservation law for distributed entanglement of formation and quantum discord Conservation law for distributed entanglement of formation and quantum discord

2010-06-12

arxiv.org/abs/1006.2460v3

Phys. Rev. A 84, 012313 (2011)

Physics

Quantum Physics

Published version

Scientific paper

10.1103/PhysRevA.84.012313

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 a 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.

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