{ "id": "quant-ph/0610006", "version": "v1", "published": "2006-10-01T08:57:41.000Z", "updated": "2006-10-01T08:57:41.000Z", "title": "Optimal control of entanglement via quantum feedback", "authors": [ "Stefano Mancini", "Howard M. Wiseman" ], "comment": "10 pages, 5 figures", "journal": "Phys. Rev. A 75, 012330 (2007).", "doi": "10.1103/PhysRevA.75.012330", "categories": [ "quant-ph" ], "abstract": "It has recently been shown that finding the optimal measurement on the environment for stationary Linear Quadratic Gaussian control problems is a semi-definite program. We apply this technique to the control of the EPR-correlations between two bosonic modes interacting via a parametric Hamiltonian at steady state. The optimal measurement turns out to be nonlocal homodyne measurement -- the outputs of the two modes must be combined before measurement. We also find the optimal local measurement and control technique. This gives the same degree of entanglement but a higher degree of purity than the local technique previously considered [S. Mancini, Phys. Rev. A {\\bf 73}, 010304(R) (2006)].", "revisions": [ { "version": "v1", "updated": "2006-10-01T08:57:41.000Z" } ], "analyses": { "keywords": [ "optimal control", "quantum feedback", "stationary linear quadratic gaussian control", "linear quadratic gaussian control problems", "entanglement" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. A" }, "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable" } } }