Using technical noise to increase the signal-to-noise ratio, via imaginary weak values

Abstract

The advantages of weak measurements, and especially measurements of imaginary weak values, for precision enhancement, are discussed. A situation is considered in which the initial state of the measurement device varies randomly on each run, and is shown to be in fact beneficial when imaginary weak values are used. The result is supported by numerical calculation and also provides an explanation for the reduction of technical noise in some recent experimental results. A connection to quantum metrology formalism is made.

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References in corpus (10)

• General framework for estimating the ultimate precision limit in noisy quantum-enhanced metrology
• Ultrasensitive Beam Deflection Measurement via Interferometric Weak Value Amplification
• Complex weak values in quantum measurement
• Amplifying Single-Photon Nonlinearity Using Weak Measurement
• Interaction-based quantum metrology showing scaling beyond the Heisenberg limit
• Optimizing the Signal to Noise Ratio of a Beam Deflection Measurement with Interferometric Weak Values
• Precision frequency measurements with interferometric weak values
• Modular values and weak values of quantum observables
• Ultra-sensitive phase estimation with white light
• Collectively enhanced quantum measurements at the Heisenberg limit

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