Partial measurements and the realization of quantum-mechanical counterfactuals
arXiv:1105.2021 · doi:10.1007/s10701-011-9542-7
Abstract
We propose partial measurements as a conceptual tool to understand how to operate with counterfactual claims in quantum physics. Indeed, unlike standard von Neumann measurements, partial measurements can be reversed probabilistically. We first analyze the consequences of this rather unusual feature for the principle of superposition, for the complementarity principle, and for the issue of hidden variables. Then we move on to exploring non-local contexts, by reformulating the EPR paradox, the quantum teleportation experiment, and the entanglement-swapping protocol for the situation in which one uses partial measurements followed by their stochastic reversal. This leads to a number of counter-intuitive results, which are shown to be resolved if we give up the the idea of attributing reality to the wavefunction of a single quantum system.
arXiv comment22 pages, 3 figures
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- Entanglement amplification via local weak measurements
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- Characterizing a statistical arrow of time in quantum measurement dynamics
- Enhancing robustness of multiparty quantum correlations using weak measurement
- Coherent interaction-free detection of microwave pulses with a superconducting circuit
- Weak measurement effect on optimal estimation with lower and upper bound on relativistic metrology
- Coherent interaction-free detection of noise