0412091v2

related topics
{measurement, state, measurements}
{equation, function, exp}
{information, entropy, channel}
{operator, operators, space}
{algorithm, log, probability}
{state, states, coherent}
{light, field, probe}
{qubit, qubits, gate}
{time, decoherence, evolution}
{cavity, atom, atoms}
{time, systems, information}
{states, state, optimal}
{state, algorithm, problem}
{group, space, representation}
{vol, operators, histories}

A Quantum Langevin Formulation of Risk-Sensitive Optimal Control

M. R. James

abstract: In this paper we formulate a risk-sensitive optimal control problem for continuously monitored open quantum systems modelled by quantum Langevin equations. The optimal controller is expressed in terms of a modified conditional state, which we call a risk-sensitive state, that represents measurement knowledge tempered by the control purpose. One of the two components of the optimal controller is dynamic, a filter that computes the risk-sensitive state. The second component is an optimal control feedback function that is found by solving the dynamic programming equation. The optimal controller can be implemented using classical electronics. The ideas are illustrated using an example of feedback control of a two-level atom.

oai_identifier:
oai:arXiv.org:quant-ph/0412091
categories:
quant-ph
doi:
10.1088/1464-4266/7/10/002
arxiv_id:
quant-ph/0412091
journal_ref:
J. Opt. B: Quantum Semiclass. Opt. 7 (2005) S198--S207
created:
2004-12-13
updated:
2005-03-28

Full article ▸

related documents
0403007v2
9911021v2
0002064v1
0310072v4
9803046v1
0309205v1
0506045v1
0207121v1
9801042v2
0607005v2
0501084v2
0106072v6
0401171v3
0602140v1
0003043v1
0601162v1
0510047v2
0503017v4
0408038v1
0501058v1
0210190v1
0609084v2
0608113v3
0512037v2
0610196v2