Connecting measurement invasiveness to optimal metrological scenarios

Moreira, Saulo V.; Adesso, Gerardo; Correa, Luis Alfonso; Coudreau, Thomas; Milman, P.

doi:10.1103/physreva.96.012110

Cited by 6 publications

(5 citation statements)

References 40 publications

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“…We have already pointed out that a good thermometric protocol should ideally be both precise and 'minimally disturbing' (see discussion in section 3.4.1). However, one can intuitively expect very informative estimation protocols to be necessarily invasive [142]. By exploiting information-disturbance inequalities [143][144][145][146] this trade-off can be studied quanti tatively.…”

Section: Information-disturbance Trade-offmentioning

confidence: 99%

Thermometry in the quantum regime: recent theoretical progress

Mehboudi¹,

Sanpera²,

Correa³

2019

J. Phys. A: Math. Theor.

159

176

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Controlling and measuring the temperature in different devices and platforms that operate in the quantum regime is, without any doubt, essential for any potential application. In this review, we report the most recent theoretical developments dealing with accurate estimation of very low temperatures in quantum systems. Together with the emerging experimental techniques and developments of measurement protocols, the theory of quantum thermometry will decisively impinge and shape the forthcoming quantum technologies. While current quantum thermometric methods differ greatly depending on the experimental platform, the achievable precision, and the temperature range of interest, the theory of quantum thermometry is built under a unifying framework at the crossroads of quantum metrology, open quantum systems, and quantum many-body physics. At a fundamental level, theoretical quantum thermometry is concerned with finding the ultimate bounds and scaling laws that limit the precision of temperature estimation for systems in and out of thermal equilibrium. At a more practical level, it provides tools to formulate precise, yet feasible, thermometric protocols for relevant experimental architectures. Last but not least, the theory of quantum thermometry examines genuine quantum features, like entanglement and coherence, for their exploitation in enhanced-resolution thermometry.

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Section: Information-disturbance Trade-offmentioning

confidence: 99%

Thermometry in the quantum regime: recent theoretical progress

Mehboudi¹,

Sanpera²,

Correa³

2019

J. Phys. A: Math. Theor.

159

176

View full text Add to dashboard Cite

show abstract

“…As mentioned above, the connection between the notion of measurement invasiveness and the violation of NSIT conditions and LGIs has been studied in Refs. [19,20]. Specifically, in Ref.…”

Section: Discussionmentioning

confidence: 99%

“…Recent works have explored connections of the violation of NSIT conditions [19] and LGIs [20] with quantum metrology [21][22][23][24], as well as suggested a unified approach to contextuality and violations of macrorealism [18].…”

Section: Introductionmentioning

confidence: 99%

Quantifying quantum invasiveness

Moreira

Cunha

2019

Phys. Rev. A

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We propose a resource theory of the quantum invasiveness of general quantum operations, i.e., those defined by quantum channels in Leggett-Garg scenarios. We are then able to compare the resource-theoretic framework of quantum invasiveness to the resource theory of coherence. We also show that the Fisher information is a quantifier of quantum invasiveness. This result allows us to establish a direct connection between the concept of quantum invasiveness and quantum metrology, by exploring the utility of the definition of quantum invasiveness in the context of metrological protocols.

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“…Quantum metrology is concerned with the estimation of such quantitities by exploiting quantum resources in order to improve the precision of the estimation protocol. For example, quantum features such as entanglement [15], squeezing [16], quantum temporal correlations [17,18], and quantum invasiveness [19] can be associated with a significant improvement of sensitivity in metrological protocols. If the global state of a system under inspection is highly sensitive to small variations of a certain parameter, this may be used to increase the precision with which this parameter can be estimated [20][21][22].…”

Section: Introductionmentioning

confidence: 99%

In and out of equilibrium quantum metrology with mean-field quantum criticality

Wald,

Moreira,

Semião

2020

Preprint

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We study the influence that collective transition phenomena have on quantum metrological protocols. The single spherical quantum spin (SQS) serves as stereotypical toy model that allows analytical insights on a mean-field level. First, we focus on equilibrium quantum criticality in the SQS and obtain the quantum Fisher information analytically, which is associated with the minimum lower bound for the precision of estimation of the parameter driving the phase transition. We compare it with the Fisher information for a specific experimental scenario where photoncounting-like measurements are employed. We find how quantum criticality and squeezing are useful resources in the metrological scenario. Second, we obtain the quantum Fisher information for the out of equilibrium transition in the dissipative non-equilibrium steady state (NESS), and investigate how the presence of dissipation affects the parameter estimation. In this scenario, we find that the critical point is shifted by an amount which depends on the dissipation rate. This is used here to design high precision protocols for a whole range of the transition-driving parameter in the ordered phase. In fact, for certain values of the parameter being estimated, dissipation may be used to obtain higher precision when compared to the equilibrium scenario.

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Connecting measurement invasiveness to optimal metrological scenarios

Cited by 6 publications

References 40 publications

Thermometry in the quantum regime: recent theoretical progress

Thermometry in the quantum regime: recent theoretical progress

Quantifying quantum invasiveness

In and out of equilibrium quantum metrology with mean-field quantum criticality

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