dorsal/arxiv
View SchemaQuantum feedback with weak measurements
| Authors | Seth Lloyd, Jean-Jacques E. Slotine |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9905064 |
| URL | https://arxiv.org/abs/quant-ph/9905064 |
| DOI | 10.1103/PhysRevA.62.012307 |
Abstract
The problem of feedback control of quantum systems by means of weak measurements is investigated in detail. When weak measurements are made on a set of identical quantum systems, the single-system density matrix can be determined to a high degree of accuracy while affecting each system only slightly. If this information is fed back into the systems by coherent operations, the single-system density matrix can be made to undergo an arbitrary nonlinear dynamics, including for example a dynamics governed by a nonlinear Schr\"odinger equation. We investigate the implications of such nonlinear quantum dynamics for various problems in quantum control and quantum information theory, including quantum computation. The nonlinear dynamics induced by weak quantum feedback could be used to create a novel form of quantum chaos in which the time evolution of the single-system wave function depends sensitively on initial conditions.
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"abstract": "The problem of feedback control of quantum systems by means of weak\nmeasurements is investigated in detail. When weak measurements are made on a\nset of identical quantum systems, the single-system density matrix can be\ndetermined to a high degree of accuracy while affecting each system only\nslightly. If this information is fed back into the systems by coherent\noperations, the single-system density matrix can be made to undergo an\narbitrary nonlinear dynamics, including for example a dynamics governed by a\nnonlinear Schr\\\"odinger equation. We investigate the implications of such\nnonlinear quantum dynamics for various problems in quantum control and quantum\ninformation theory, including quantum computation. The nonlinear dynamics\ninduced by weak quantum feedback could be used to create a novel form of\nquantum chaos in which the time evolution of the single-system wave function\ndepends sensitively on initial conditions.",
"arxiv_id": "quant-ph/9905064",
"authors": [
"Seth Lloyd",
"Jean-Jacques E. Slotine"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.62.012307",
"title": "Quantum feedback with weak measurements",
"url": "https://arxiv.org/abs/quant-ph/9905064"
},
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