No-go result for quantum postselection measurements of rank-m degenerate subspace
arXiv:2303.17090 · doi:10.1103/PhysRevA.107.042204
Abstract
We present a no-go result for postselection measurements where the conditional expectation value of a joint system-device observable under postselection is nothing else than the conventional expectation value. Such a no-go result relies on the rank-m degenerate of the joint observable, where m is the dimension of the device subspace. Remarkable, we show that the error and disturbance in quantum measurements obey the no-go result, which implies that the error-disturbance uncertainty is unaffected under postselection measurements.
6 pages, 0 figure
References in corpus (9)
- Ultrasensitive Beam Deflection Measurement via Interferometric Weak Value Amplification
- Experimental joint weak measurement on a photon pair as a probe of Hardy's Paradox
- Direct observation of Hardy's paradox by joint weak measurement with an entangled photon pair
- Weak Value Amplification Can Outperform Conventional Measurement in the Presence of Detector Saturation
- Direct measurement of a nonlocal entangled quantum state
- Enhanced weak-value amplification via photon recycling
- Amplification of rotation velocity using weak measurements in Sagnac's interferometer
- Direct experimental test of commutation relation via weak value
- Quantum uncertainty as classical uncertainty of real-deterministic variables constructed from complex weak values and a global random variable