Weak Values with Decoherence

Details Weak Values with Decoherence Weak Values with Decoherence

2008-12-24

arxiv.org/abs/0812.4502v3

J. Phys. A: Math. Theor. 43, 025304 (2010)

Physics

Quantum Physics

17 pages, 3 figures

Scientific paper

10.1088/1751-8113/43/2/025304

The weak value of an observable is experimentally accessible by weak measurements as theoretically analyzed by Aharonov et al. and recently experimentally demonstrated. We introduce a weak operator associated with the weak values and give a general framework of quantum operations to the W operator in parallel with the Kraus representation of the completely positive map for the density operator. The decoherence effect is also investigated in terms of the weak measurement by a shift of a probe wave function of continuous variable. As an application, we demonstrate how the geometric phase is affected by the bit flip noise.

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