Sequential weak measurement

Abstract

The notion of weak measurement provides a formalism for extracting information from a quantum system in the limit of vanishing disturbance to its state. Here we extend this formalism to the measurement of sequences of observables. When these observables do not commute, we may obtain information about joint properties of a quantum system that would be forbidden in the usual strong measurement scenario. As an application, we provide a physically compelling characterisation of the notion of counterfactual quantum computation.

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• Quantum Mechanical Interaction-Free Measurements
• Extracting joint weak values with local, single-particle measurements
• Counterfactual Computation
• The Impossibility of the Counterfactual Computation for all Possible Outcomes
• Cherenkov radiation and superluminal particles
• Realism and Time Symmetry in Quantum Mechanics
• Negative Kinetic Energy Between Past and Future State Vectors

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