Qubit channels with small correlations

Details Qubit channels with small correlations Qubit channels with small correlations

2008-03-21

arxiv.org/abs/0803.3172v2

Physical Review A 77, 052323 (2008)

Physics

Quantum Physics

11 pages, 4 figures, 2 tables

Scientific paper

10.1103/PhysRevA.77.052323

We introduce a class of quantum channels with correlations acting on pairs of qubits, where the correlation takes the form of a shift operator onto a maximally entangled state. We optimise the output purity and show that below a certain threshold the optimum is achieved by partially entangled states whose degree of entanglement increases monotonically with the correlation parameter. Above this threshold, the optimum is achieved by the maximally entangled state characterizing the shift. Although, a full analysis can only be done for the 2-norm, both numerical and heuristic arguments indicate that this behavior and the optimal inputs are independent of p>1 when the optimal output purity is measured using the p-norm.

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