Erratum: Quantum theory of continuous feedback

Wiseman, Howard Mark

doi:10.1103/physreva.49.5159.2

Cited by 35 publications

(4 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We start our analysis by considering Markovian feedback [72][73][74][75]. In a Markovian feedback strategy the measured signal is directly fed back to the system.…”

Section: Markovian Feedbackmentioning

confidence: 99%

Unconditional mechanical squeezing via back-action evading measurements and non-optimal feedback control

Di Giovanni,

Brunelli,

Genoni

2020

Preprint

View full text Add to dashboard Cite

Backaction-evading (BAE) measurements of a mechanical resonator, by continuously monitoring a single quadrature of motion, can achieve precision below the zero-point uncertainty. When this happens, the measurement leaves the resonator in a quantum squeezed state. The squeezed state so generated is however conditional on the measurement outcomes, while for most applications it is desirable to have a deterministic, i.e., unconditional, squeezed state with the desired properties. In this work we apply feedback control to achieve deterministic manipulation of mechanical squeezing in an optomechanical system subject to a continuous BAE measurement. We study in details two strategies, direct (Markovian) and state-based (Bayesian) feedback. We show that both are capable to achieve optimal performances, i.e., a vanishing noise added by the feedback loop. Moreover, even when the feedback is restricted to be a time-varying mechanical force (experimentally friendly scenario) and an imperfect BAE regime is considered, the ensuing non-optimal feedback may still obtain significant amount of squeezing. In particular, we show that Bayesian feedback control is nearly optimal for a wide range of sideband resolution. Our analysis is of direct relevance for ultra-sensitive measurements and quantum state engineering in state-of-the-art optomechanical devices.

show abstract

“…We start our analysis by considering Markovian feedback [72][73][74][75]. In a Markovian feedback strategy the measured signal is directly fed back to the system.…”

Section: Markovian Feedbackmentioning

confidence: 99%

Unconditional mechanical squeezing via back-action evading measurements and non-optimal feedback control

Di Giovanni,

Brunelli,

Genoni

2020

Preprint

View full text Add to dashboard Cite

show abstract

“…And it is becoming more and more important to improve the estimation accuracy of the detection efficiency [12]. Quantum feedback control [13][14][15][16] can be used to improve the detection efficiency. In ref.…”

Section: Introductionmentioning

confidence: 99%

Quantum estimation of detection efficiency with no-knowledge quantum feedback

Xie¹,

Xu²

2018

Chinese Phys. B

View full text Add to dashboard Cite

We investigate that no-knowledge measurement-based feedback control is utilized to obtain the estimation precision of the detection efficiency. For the feedback operators that concern us, noknowledge measurement is the optimal way to estimate the detection efficiency. We show that the higher precision can be achieved for the lower or larger detection efficiency. It is found that no-knowledge feedback can be used to cancel decoherence. No-knowledge feedback with a high detection efficiency can perform well in estimating frequency and detection efficiency parameters simultaneously. And simultaneous estimation is better than independent estimation given by the same probes.

show abstract

“…Other early theoretical treatments for quantum optical fields were developed in the eighties [25,26]. Feedback control based on homodyne detection was studied in [27], while a general theory encompassing stochastic evolution equations for quantum states and quantum Langevin equations for the fields was presented in [28][29][30]. The most general "dyne-unravelling" was characterised in [31], while optimal control for linear quadratic Gaussian state control problems was shown to reduce to semidefinite programming in [32].…”

Section: Feedback Control Of Quantum Continuous Variablesmentioning

confidence: 99%

Feedback Control in Quantum Optics: An Overview of Experimental Breakthroughs and Areas of Application

Serafini

2012

ISRN Optics

View full text Add to dashboard Cite

We present a broad summary of research involving the application of quantum feedback control techniques to optical setups, from the early enhancement of optical amplitude squeezing to the recent stabilisation of photon number states in a microwave cavity, dwelling mostly on the latest experimental advances. Feedback control of quantum optical continuous variables, quantum nondemolition memories, feedback cooling, quantum state control, adaptive quantum measurements, and coherent feedback strategies will all be touched upon in our discussion.

show abstract

Erratum: Quantum theory of continuous feedback

Cited by 35 publications

References 0 publications

Unconditional mechanical squeezing via back-action evading measurements and non-optimal feedback control

Unconditional mechanical squeezing via back-action evading measurements and non-optimal feedback control

Quantum estimation of detection efficiency with no-knowledge quantum feedback

Feedback Control in Quantum Optics: An Overview of Experimental Breakthroughs and Areas of Application

Contact Info

Product

Resources

About