Von Neumann Measurement is Optimal for Detecting Linearly Independent Mixed Quantum States

Details Von Neumann Measurement is Optimal for Detecting Linearly Independent Mixed Quantum States Von Neumann Measurement is Optimal for Detecting Linearly Independent Mixed Quantum States

2003-04-10

arxiv.org/abs/quant-ph/0304077v1

Physics

Quantum Physics

4 pages

Scientific paper

10.1103/PhysRevA.68.052303

We consider the problem of designing a measurement to minimize the probability of a detection error when distinguishing between a collection of possibly non-orthogonal mixed quantum states. We show that if the quantum state ensemble consists of linearly independent density operators then the optimal measurement is an orthogonal Von Neumann measurement consisting of mutually orthogonal projection operators and not a more general positive operator-valued measure.

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