dorsal/arxiv
View SchemaProbabilistic Quantum Control Via Indirect Measurement
| Authors | A. Mandilara, J. W. Clark |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0408138 |
| URL | https://arxiv.org/abs/quant-ph/0408138 |
| DOI | 10.1103/PhysRevA.71.013406 |
| Journal | Physical Review A 71, 013406 (2005) |
Abstract
The most basic scenario of quantum control involves the organized manipulation of pure dynamical states of the system by means of unitary transformations. Recently, Vilela Mendes and Mank'o have shown that the conditions for controllability on the state space become less restrictive if unitary control operations may be supplemented by projective measurement. The present work builds on this idea, introducing the additional element of indirect measurement to achieve a kind of remote control. The target system that is to be remotely controlled is first entangled with another identical system, called the control system. The control system is then subjected to unitary transformations plus projective measurement. As anticipated by Schrodinger, such control via entanglement is necessarily probabilistic in nature. On the other hand, under appropriate conditions the remote-control scenario offers the special advantages of robustness against decoherence and a greater repertoire of unitary transformations. Simulations carried out for a two-level system demonstrate that, with optimization of control parameters, a substantial gain in the population of reachable states can be realized.
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"abstract": "The most basic scenario of quantum control involves the organized\nmanipulation of pure dynamical states of the system by means of unitary\ntransformations. Recently, Vilela Mendes and Mank\u0027o have shown that the\nconditions for controllability on the state space become less restrictive if\nunitary control operations may be supplemented by projective measurement. The\npresent work builds on this idea, introducing the additional element of\nindirect measurement to achieve a kind of remote control. The target system\nthat is to be remotely controlled is first entangled with another identical\nsystem, called the control system. The control system is then subjected to\nunitary transformations plus projective measurement. As anticipated by\nSchrodinger, such control via entanglement is necessarily probabilistic in\nnature. On the other hand, under appropriate conditions the remote-control\nscenario offers the special advantages of robustness against decoherence and a\ngreater repertoire of unitary transformations. Simulations carried out for a\ntwo-level system demonstrate that, with optimization of control parameters, a\nsubstantial gain in the population of reachable states can be realized.",
"arxiv_id": "quant-ph/0408138",
"authors": [
"A. Mandilara",
"J. W. Clark"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.71.013406",
"journal_ref": "Physical Review A 71, 013406 (2005)",
"title": "Probabilistic Quantum Control Via Indirect Measurement",
"url": "https://arxiv.org/abs/quant-ph/0408138"
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