Entanglement-assisted quantum feedback control

Naoki Yamamoto, Tomoaki Mikami

Research output: Contribution to journalArticle

1 Citation (Scopus)

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.

Original languageEnglish
Article number179
JournalQuantum Information Processing
Volume16
Issue number7
DOIs
Publication statusPublished - 2017 Jul 1

Fingerprint

Quantum Control
feedback control
Entanglement
Feedback Control
Feedback control
Probe
probes
controllers
linear quadratic Gaussian control
Oscillators (mechanical)
mechanical oscillators
Controller
Controllers
Kalman Filtering
Control Function
Beat
Estimation Error
Metrology
Cost functions
Quantum Systems

Keywords

  • Continuous measurement
  • Entanglement
  • Feedback control
  • Feedback cooling
  • Opto-mechanics
  • Quantum metrology

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Theoretical Computer Science
  • Electronic, Optical and Magnetic Materials
  • Signal Processing
  • Modelling and Simulation
  • Electrical and Electronic Engineering

Cite this

Entanglement-assisted quantum feedback control. / Yamamoto, Naoki; Mikami, Tomoaki.

In: Quantum Information Processing, Vol. 16, No. 7, 179, 01.07.2017.

Research output: Contribution to journalArticle

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