New Phase Transitions in Optimal States for Memory Channels

Details New Phase Transitions in Optimal States for Memory Channels New Phase Transitions in Optimal States for Memory Channels

2009-01-17

arxiv.org/abs/0901.2649v1

Physical Review A, 79, 032321 (2009)

Physics

Quantum Physics

13 pages, Latex

Scientific paper

10.1103/PhysRevA.79.032321

We investigate the question of optimal input ensembles for memory channels and construct a rather large class of Pauli channels with correlated noise which can be studied analytically with regard to the entanglement of their optimal input ensembles. In a more detailed study of a subclass of these channels, the complete phase diagram of the two-qubit channel, which shows three distinct phases is obtained. While increasing the correlation generally changes the optimal state from separable to maximally entangled states, this is done via an intermediate region where both separable and maximally entangled states are optimal. A more concrete model, based on random rotations of the error operators which mimic the behavior of this subclass of channels is also presented.

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