Quantum Mechanics of Successive Measurements with Arbitrary Meter Coupling

Abstract

We study successive measurements of two observables using von Neumann's measurement model. The two-pointer correlation for arbitrary coupling strength allows retrieving the initial system state. We recover Luders rule, the Wigner formula and the Kirkwood-Dirac distribution in the appropriate limits of the coupling strength.

References in corpus (4)

• Conditional probabilities in quantum theory, and the tunneling time controversy
• Quantum theory of successive projective measurements
• Nonclassicality in Weak Measurements
• Quantum and classical descriptions of a measuring apparatus

Cited by in corpus (13)

• Observing Dirac's classical phase space analog to the quantum state
• Quantum circuits for measuring weak values, Kirkwood--Dirac quasiprobability distributions, and state spectra
• Properties and Applications of the Kirkwood-Dirac Distribution
• Projective measurements can probe non-classical work extraction and time-correlations
• Quantum optical reconstruction scheme using weak values
• Evolutionary Processes in Quantum Decision Theory
• Noninvasive Measurement of Dynamic Correlation Functions
• Quantum state tomography from sequential measurement of two variables in a single setup
• Bounds on nonlocal correlations in the presence of signaling and their application to topological zero modes
• Wigner function and the successive measurement of position and momentum
• Quantum measurement with recycled photons
• Quantum State Tomography Using Successive Measurements
• Testing Bell inequalities with weak measurements