2006
DOI: 10.1103/physreva.74.052102
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Quantum control by von Neumann measurements

Abstract: A general scheme is presented for controlling quantum systems using evolution driven by nonselective von Neumann measurements, with or without an additional tailored electromagnetic field.As an example, a 2-level quantum system controlled by non-selective quantum measurements is considered. The control goal is to find optimal system observables such that consecutive nonselective measurement of these observables transforms the system from a given initial state into a state which maximizes the expected value of … Show more

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Cited by 123 publications
(137 citation statements)
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“…It is interesting to note that, the maximum of M-dimensional system is just the same as that of a simple two-level system spanned by the initial state |α and the final state |β , which has been extensively studied [10,11].…”
Section: Some Analytical Results In Measurement-induced Quantum Controlmentioning
confidence: 99%
See 4 more Smart Citations
“…It is interesting to note that, the maximum of M-dimensional system is just the same as that of a simple two-level system spanned by the initial state |α and the final state |β , which has been extensively studied [10,11].…”
Section: Some Analytical Results In Measurement-induced Quantum Controlmentioning
confidence: 99%
“…For two-level quantum systems, analytical solutions for population transfer by optimized instantaneous projective measurements is obtained [10,11]. In these cases, we can associate each measurement with two projectors, and find the optimal transfer population between the initial and final mixed states, ρ i and ρ f .…”
Section: Some Analytical Results In Measurement-induced Quantum Controlmentioning
confidence: 99%
See 3 more Smart Citations