Weak measurements in quantum mechanics

Abstract

The article recapitulates the concept of weak measurement in its broader sense encapsulating the trade between asymptotically weak measurement precision and asymptotically large measurement statistics. Essential applications in time-continuous measurement and in postselected measurement are presented both in classical and in quantum contexts. We discuss the anomalous quantum weak value in postselected measurement. We concentrate on the general mathematical and physical aspects of weak measurements and we do not expand on their interpretation. Particular applications, even most familiar ones, are not subject of the article which was written for Elsevier's Encyclopedia of Mathematical Physics.

arXiv comment14pp, written for Elsevier's Encyclopedia of Mathematical Physics

References in corpus (2)

• Weak Values, Quantum Trajectories, and the Stony-Brook Cavity QED experiment
• Measurements, errors, and negative kinetic energy

Cited by in corpus (5)

• Quantum finite-time thermodynamics: insight from a single qubit engine
• Quantum control with noisy fields: computational complexity vs. sensitivity to noise
• The minimal temperature of Quantum Refrigerators
• Simple theory of the measured current through quantum dots
• Weak Values and Relational Generalisations