Binary search trees for generalized measurement

Details Binary search trees for generalized measurement Binary search trees for generalized measurement

2007-12-17

arxiv.org/abs/0712.2665v1

Physics

Quantum Physics

5 pages, 4 figures

Scientific paper

10.1103/PhysRevA.77.052104

Generalized quantum measurements (POVMs or POMs) are important for optimally extracting information for quantum communication and computation. The standard realization via the Neumark extension requires extensive resources in the form of operations in an extended Hilbert space. For an arbitrary measurement, we show how to construct a binary search tree with a depth logarithmic in the number of possible outcomes. This could be implemented experimentally by coupling the measured quantum system to a probe qubit which is measured, and then iterating.

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