Coupling-Deformed Pointer Observables and Weak Values

Abstract

While the novel applications of weak values have recently attracted wide attention, weak measurement, the usual way to extract weak values, suffers from risky approximations and severe quantum noises. In this paper, we show that the weak-value information can be obtained exactly in strong measurement with postselections, via measuring the coupling-deformed pointer observables, i.e., the observables selected according to the coupling strength. With this approach, we keep all the advantages claimed by weak-measurement schemes and at the same time solve some widely criticized problems thereof, such as the questionable universality, systematical bias, and drastic inefficiency.

8 pages, 2 figure, accepted by Phys. Rev. A

References in corpus (7)

• Complex weak values in quantum measurement
• Compressive Direct Measurement of the Quantum Wave Function
• Strong measurements give a better direct measurement of the quantum wave function
• State tomography via weak measurements
• Weak values are universal in von Neumann measurements
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Cited by in corpus (13)

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• Universality of local weak interactions and its application for interferometric alignment
• Direct Reconstruction of the Quantum Density Matrix by Strong Measurements
• Determination of weak values of quantum operators using only strong measurements
• Products of weak values: uncertainty relations, complementarity and incompatibility
• A framework for measuring weak values without weak interactions and its diagrammatic representation
• Direct state reconstruction with coupling-deformed pointer observables
• Anomalous mobility of a driven active particle in a steady laminar flow
• Dimension-independent weak value estimation via controlled SWAP operations
• Directly Characterizing the Coherence of Quantum Detectors by Sequential Measurement
• Direct Measurement Methods of Density Matrix of an Entangled Quantum State
• Systematic errors in direct state measurements with quantum controlled measurements
• Interplay between strong and weak measurement: Comparison of three experimental approaches to weak value estimation