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Quantum Information Processing

, 16:179

First Online: 07 June 2017Received: 17 August 2016Accepted: 27 May 2017DOI: 10.1007-s11128-017-1629-4

Cite this article as: Yamamoto, N. & Mikami, T. Quantum Inf Process 2017 16: 179. doi:10.1007-s11128-017-1629-4

Abstract

The main advantage of quantum metrology relies on the effective use of entanglement, which indeed allows us to achieve strictly better estimation performance over the standard quantum limit. In this paper, we propose an analogous method utilizing entanglement for the purpose of feedback control. The system considered is a general linear dynamical quantum system, where the control goal can be systematically formulated as a linear quadratic Gaussian control problem based on the quantum Kalman filtering method; in this setting, an entangled input probe field is effectively used to reduce the estimation error and accordingly the control cost function. In particular, we show that, in the problem of cooling an opto-mechanical oscillator, the entanglement-assisted feedback control can lower the stationary occupation number of the oscillator below the limit attainable by the controller with a coherent probe field and furthermore beats the controller with an optimized squeezed probe field.

KeywordsQuantum metrology Entanglement Feedback control Continuous measurement Opto-mechanics Feedback cooling This work was supported in part by JSPS Grant-in-Aid No. 15K06151 and JST PRESTO No. JPMJPR166A. The authors acknowledge helpful discussions with M. R. Hush, A. R. R. Carvalho, and S. S. Szigeti.





Author: Naoki Yamamoto - Tomoaki Mikami

Source: https://link.springer.com/







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