Quantum-Limited Measurement and Information in Mesoscopic Detectors

Details Quantum-Limited Measurement and Information in Mesoscopic Detectors Quantum-Limited Measurement and Information in Mesoscopic Detectors

2002-10-31

arxiv.org/abs/cond-mat/0211001v1

Phys. Rev. B 67, 165324 (2003)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

13 pages, 1 figure

Scientific paper

10.1103/PhysRevB.67.165324

We formulate general conditions necessary for a linear-response detector to reach the quantum limit of measurement efficiency, where the measurement-induced dephasing rate takes on its minimum possible value. These conditions are applicable to both non-interacting and interacting systems. We assess the status of these requirements in an arbitrary non-interacting scattering based detector, identifying the symmetries of the scattering matrix needed to reach the quantum limit. We show that these conditions are necessary to prevent the existence of information in the detector which is not extracted in the measurement process.

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