Dynamical Gaussian state transfer with quantum-error-correcting architecture

Go Tajimi, Naoki Yamamoto

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

Transferring a quantum state of a light field to a memory is of particular importance. However, this transfer is usually hampered because the memory system is subjected to some noise and this can limit the performance of the state transfer greatly. In this paper, we consider the transfer of a Gaussian state of light to a linear medium memory such as an optomechanical oscillator and propose a dynamical feedback controller that suppresses the noise in the memory system. To protect an unknown state, the feedback scheme employs the specific configuration of the quantum error correction; that is, a three-mode Gaussian state having appropriate syndromes is taken as the input. Correspondingly, the memory consists of three independent linear systems. The syndrome errors are estimated continuously in time through the measurement of the output field, and the results are then fed back to control the system. Because the input is Gaussian and the systems are all linear, it is possible to formulate the problem using the framework of the celebrated classical Kalman filtering and linear quadratic Gaussian control. A numerical simulation demonstrates the effectiveness of the control scheme.

Original languageEnglish
Article number022303
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume85
Issue number2
DOIs
Publication statusPublished - 2012 Feb 3

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linear quadratic Gaussian control
linear systems
controllers
oscillators
output
configurations
simulation

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Dynamical Gaussian state transfer with quantum-error-correcting architecture. / Tajimi, Go; Yamamoto, Naoki.

In: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 85, No. 2, 022303, 03.02.2012.

Research output: Contribution to journalArticle

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