Clean positive operator valued measures for qubits and similar cases

Details Clean positive operator valued measures for qubits and similar cases Clean positive operator valued measures for qubits and similar cases

2006-03-14

arxiv.org/abs/quant-ph/0603117v2

J. Phys. A: Math. Theor. 40 (2007) 4817-4832

Physics

Quantum Physics

15 pages, Much of a sequel to quant-ph/0505095 Rewriting of the article deeply improving (I hope) the presentation. Accepted f

Scientific paper

In a recent paper, Buscemi and al. defined a notion of clean positive operator valued measures (POVMs). We here characterize which POVMs are clean in some class that we call quasi-qubit POVMs, namely POVMs whose elements are all rank-one or full-rank. We give an algorithm to check whether a given quasi-qubit POVM satisfies to this condition. We describe explicitely all the POVMs that are clean for the qubit. On the way we give a sufficient condition for a general POVM to be clean.

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