Reconstructing weak values without weak measurements

Abstract

I propose a scheme for reconstructing the weak value of an observable without the need for weak measurements. The post-selection in weak measurements is replaced by an initial projector measurement. The observable can be measured using any form of interaction, including projective measurements. The reconstruction is effected by measuring the change in the expectation value of the observable due to the projector measurement. The weak value may take nonclassical values if the projector measurement disturbs the expectation value of the observable.

6 pages. Accepted in Phys. Lett. A

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• Products of weak values: uncertainty relations, complementarity and incompatibility
• Quantum optical reconstruction scheme using weak values
• Operational interpretation and estimation of quantum trace-norm asymmetry based on weak value measurement and some bounds
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• Quantum uncertainty as classical uncertainty of real-deterministic variables constructed from complex weak values and a global random variable
• Dimension-independent weak value estimation via controlled SWAP operations
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• Interplay between strong and weak measurement: Comparison of three experimental approaches to weak value estimation
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