Fundamental Quantum Limit to Waveform Detection

Details Fundamental Quantum Limit to Waveform Detection Fundamental Quantum Limit to Waveform Detection

2012-04-17

arxiv.org/abs/1204.3697v1

Physics

Quantum Physics

v1: first draft, 5 pages

Scientific paper

Ever since the inception of gravitational-wave detectors, limits imposed by quantum mechanics to the detection of time-varying signals have been a subject of intense research and debate. Drawing insights from quantum information theory, quantum detection theory, and quantum measurement theory, here I prove a general lower limit to the average error probability for waveform detection with a quantum system. In the case of optomechanical force detection, I derive analytic expressions for the limit in some cases of interest and discuss how the limit can be approached using quantum control techniques.

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