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.
arXiv comment6 pages, 0 figure
References in corpus (40)
- Ultrasensitive Beam Deflection Measurement via Interferometric Weak Value Amplification
- Direct Measurement of the Quantum Wavefunction
- Colloquium: Understanding Quantum Weak Values: Basics and Applications
- Universally valid reformulation of the Heisenberg uncertainty principle on noise and disturbance in measurement
- Experimental joint weak measurement on a photon pair as a probe of Hardy's Paradox
- Operational Quantum Mechanics, Quantum Axiomatics and Quantum Structures
- Direct measurement of general quantum states using weak measurement
- Uncertainty Relations for Noise and Disturbance in Generalized Quantum Measurements
- Direct observation of Hardy's paradox by joint weak measurement with an entangled photon pair
- Quantum Cheshire Cats
- Observation of a quantum Cheshire Cat in a matter wave interferometer experiment
- Quantum Advantage in Postselected Metrology
- Weak Value Amplification Can Outperform Conventional Measurement in the Presence of Detector Saturation
- Improving the precision of weak measurements by postselection measurement
- Quantum measurements with preselection and postselection
- Strong measurements give a better direct measurement of the quantum wave function
- Weak value controversy
- Anomalous weak values and contextuality: robustness, tightness, and imaginary parts
- Weak value beyond conditional expectation value of the pointer readings
- Direct measurement of a nonlocal entangled quantum state
- Direct Reconstruction of the Quantum Density Matrix by Strong Measurements
- Universal Uncertainty Principle in the Measurement Operator Formalism
- Weak Measurement of Superconducting Qubit Reconciles Incompatible Operators
- State estimation: direct state measurement vs. tomography
- Enhanced weak-value amplification via photon recycling
- Weak-value-amplification analysis beyond the AAV limit of weak measurements
- Quantum precision thermometry with weak measurement
- Confined Contextuality in Neutron Interferometry: Observing the Quantum Pigeonhole Effect
- Observing the "quantum Cheshire cat" effect with noninvasive weak measurement
- Simple understanding of quantum weak values
- Full characterization of modular values for two-dimensional systems
- Operational formulation of weak values without probe systems
- Amplification of rotation velocity using weak measurements in Sagnac's interferometer
- Delayed choice of paths selected by grin and snarl of quantum Cheshire Cat
- Quantum uncertainty as classical uncertainty of real-deterministic variables constructed from complex weak values and a global random variable
- Direct experimental test of commutation relation via weak value
- Channels, measurements and post-selection in quantum thermodynamics
- A Generalized framework of weak value amplification in path interference of polarized light for the enhancement of all possible polarization anisotropy effects
- Modular-value-based metrology with spin coherent pointers
- Systematic errors in direct state measurements with quantum controlled measurements