Covariant quantum measurements may not be optimal

Details Covariant quantum measurements may not be optimal Covariant quantum measurements may not be optimal

2001-07-23

arxiv.org/abs/quant-ph/0107114v3

J. Modern Optics 49 (2002) 1235

Physics

Quantum Physics

minor corrections, to appear in J. Mod. Opt. (proc. of Gdansk conf.)

Scientific paper

10.1080/09500340110118449

Quantum particles, such as spins, can be used for communicating spatial directions to observers who share no common coordinate frame. We show that if the emitter's signals are the orbit of a group, then the optimal detection method may not be a covariant measurement (contrary to widespread belief). It may be advantageous for the receiver to use a different group and an indirect estimation method: first, an ordinary measurement supplies redundant numerical parameters; the latter are then used for a nonlinear optimal identification of the signal.

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