Quantum state filtering and discrimination between sets of Boolean functions

Details Quantum state filtering and discrimination between sets of Boolean functions Quantum state filtering and discrimination between sets of Boolean functions

2002-08-31

arxiv.org/abs/quant-ph/0209007v3

Phys. Rev. Lett. 90, 257901 (2003)

Physics

Quantum Physics

4 pages, 1 figure, replaced with published version

Scientific paper

10.1103/PhysRevLett.90.257901

The problem of quantum state filtering consists of determining whether an unknown quantum state, which is chosen from a known set of states, is either a particular, specified state, or not. We consider this problem for the case that the filtering procedure is required to be unambiguous, which necessitates admitting inconclusive answers when the given states are not orthogonal. As an application, we propose an efficient, probabilistic procedure for distinguishing between sets of Boolean functions, which is an extension of the Deutsch-Jozsa algorithm.

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