Quantum Measurements of Time
Lorenzo Maccone, Krzysztof Sacha
Abstract
We propose a time-of-arrival operator in quantum mechanics by conditioning on a quantum clock. This allows us to bypass some of the problems of previous proposals, and to obtain a Hermitian time of arrival operator whose probability distribution arises from the Born rule and which has a clear physical interpretation. The same procedure can be employed to measure the "time at which some event happens" for arbitrary events (and not just specifically for the arrival time of a particle).
Topics & Concepts
Measure (data warehouse)Arrival timeTime of arrivalOperator (biology)PhysicsQuantum probabilityQuantumEvent (particle physics)Probability amplitudeStatistical physicsQuantum operationQuantum mechanicsComputer scienceQuantum processOpen quantum systemQuantum dynamicsChannel (broadcasting)Data miningRepressorTransport engineeringChemistryBiochemistryComputer networkEngineeringGeneTranscription factorQuantum Mechanics and ApplicationsCold Atom Physics and Bose-Einstein CondensatesQuantum Information and Cryptography