To Measure, or Not to Measure, That is the Question
Abstract
A method is proposed that allows one to infer the sum of the values of an observable taken during contacts with a pointer state. Hereby the state of the pointer is updated while contacted with the system and remains unchanged between contacts while the system evolves in time. After a prescribed number of such contacts the position of the pointer is determined by means of a projective measurement. The outcome is specified in terms of a probability distribution function for unitary and Markovian dissipative dynamics and compared with the results of the same number of generalized Gaussian measurements of the considered observable. As a particular example a qubit is considered with an observable contacting to the pointer that does not commute with the system Hamiltonian.
Keywords
Cite
@article{arxiv.2003.04683,
title = {To Measure, or Not to Measure, That is the Question},
author = {Juzar Thingna and Peter Talkner},
journal= {arXiv preprint arXiv:2003.04683},
year = {2020}
}
Comments
11 pages, 7 figures, comments are welcome