Physics – Quantum Physics
Scientific paper
2006-06-22
Phys. Rev. A 74, 052102 (2006)
Physics
Quantum Physics
Scientific paper
10.1103/PhysRevA.74.052102
A general scheme is presented for controlling quantum systems using evolution driven by non-selective 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 non-selective measurement of these observables transforms the system from a given initial state into a state which maximizes the expected value of a target operator (the objective). A complete analytical solution is found including explicit expressions for the optimal measured observables and for the maximal objective value given any target operator, any initial system density matrix, and any number of measurements. As an illustration, upper bounds on measurement-induced population transfer between the ground and the excited states for any number of measurements are found. The anti-Zeno effect is recovered in the limit of an infinite number of measurements. In this limit the system becomes completely controllable. The results establish the degree of control attainable by a finite number of measurements.
Il'in Nikolai
Pechen Alexander
Rabitz Herschel
Shuang Feng
No associations
LandOfFree
Quantum control by von Neumann measurements does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Quantum control by von Neumann measurements, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum control by von Neumann measurements will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-208763