There exist non orthogonal quantum measurements that are perfectly repeatable

Details There exist non orthogonal quantum measurements that are perfectly repeatable There exist non orthogonal quantum measurements that are perfectly repeatable

2003-10-06

arxiv.org/abs/quant-ph/0310041v2

Phys. Rev. Lett 92, 070403 (2004)

Physics

Quantum Physics

4 pages, 1 figure, revtex4, minor changes

Scientific paper

10.1103/PhysRevLett.92.070403

We show that, contrarily to the widespread belief, in quantum mechanics repeatable measurements are not necessarily described by orthogonal projectors--the customary paradigm of "observable". Nonorthogonal repeatability, however, occurs only for infinite dimensions. We also show that when a non orthogonal repeatable measurement is performed, the measured system retains some "memory" of the number of times that the measurement has been performed.

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