dorsal/arxiv
View SchemaQuantum control by von Neumann measurements
| Authors | Alexander Pechen, Nikolai Il'in, Feng Shuang, Herschel Rabitz |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0606187 |
| URL | https://arxiv.org/abs/quant-ph/0606187 |
| DOI | 10.1103/PhysRevA.74.052102 |
| Journal | Phys. Rev. A 74, 052102 (2006) |
Abstract
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.
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"abstract": "A general scheme is presented for controlling quantum systems using evolution\ndriven by non-selective von Neumann measurements, with or without an additional\ntailored electromagnetic field. As an example, a 2-level quantum system\ncontrolled by non-selective quantum measurements is considered. The control\ngoal is to find optimal system observables such that consecutive non-selective\nmeasurement of these observables transforms the system from a given initial\nstate into a state which maximizes the expected value of a target operator (the\nobjective). A complete analytical solution is found including explicit\nexpressions for the optimal measured observables and for the maximal objective\nvalue given any target operator, any initial system density matrix, and any\nnumber of measurements. As an illustration, upper bounds on measurement-induced\npopulation transfer between the ground and the excited states for any number of\nmeasurements are found. The anti-Zeno effect is recovered in the limit of an\ninfinite number of measurements. In this limit the system becomes completely\ncontrollable. The results establish the degree of control attainable by a\nfinite number of measurements.",
"arxiv_id": "quant-ph/0606187",
"authors": [
"Alexander Pechen",
"Nikolai Il\u0027in",
"Feng Shuang",
"Herschel Rabitz"
],
"categories": [
"quant-ph",
"math-ph",
"math.MP"
],
"doi": "10.1103/PhysRevA.74.052102",
"journal_ref": "Phys. Rev. A 74, 052102 (2006)",
"title": "Quantum control by von Neumann measurements",
"url": "https://arxiv.org/abs/quant-ph/0606187"
},
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