Optimal Quantum Thermometry with Coarse-Grained Measurements

Hovhannisyan, Karen V.; Jørgensen, Mathias R.; Landi, Gabriel T.; Alhambra, Álvaro M.; Brask, Jonatan Bohr; Perarnau-Llobet, Martí

doi:10.1103/prxquantum.2.020322

Cited by 41 publications

(34 citation statements)

References 67 publications

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“…For example, the state of any two-level environment can be fully transferred to a two-level probe, thereby transferring all its Fisher information. In the case of higher-dimensional environments, bounds on the thermometric precision obtained via smaller probes have been recently derived [77]. A natural extension of the results presented here would be to examine if these bounds can be catalytically surpassed.…”

Section: Discussionmentioning

confidence: 87%

“…Thermometry makes part of the broader field of metrology [63][64][65][66] and aims at estimating the temperature of some environment at thermal equilibrium. In particular, temperature information can be transferred to a probe that undergoes a suitable coupling with the environment [67][68][69][70][71][72][73][74][75][76][77]. We show that this information can be increased via a two-level catalyst, thereby reducing the error in the temperature estimation.…”

Section: Introductionmentioning

confidence: 95%

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Catalytic transformations with finite-size environments: applications to cooling and thermometry

Henao

Uzdin

2021

Quantum

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The laws of thermodynamics are usually formulated under the assumption of infinitely large environments. While this idealization facilitates theoretical treatments, real physical systems are always finite and their interaction range is limited. These constraints have consequences for important tasks such as cooling, not directly captured by the second law of thermodynamics. Here, we study catalytic transformations that cannot be achieved when a system exclusively interacts with a finite environment. Our core result consists of constructive conditions for these transformations, which include the corresponding global unitary operation and the explicit states of all the systems involved. From this result we present various findings regarding the use of catalysts for cooling. First, we show that catalytic cooling is always possible if the dimension of the catalyst is sufficiently large. In particular, the cooling of a qubit using a hot qubit can be maximized with a catalyst as small as a three-level system. We also identify catalytic enhancements for tasks whose implementation is possible without a catalyst. For example, we find that in a multiqubit setup catalytic cooling based on a three-body interaction outperforms standard (non-catalytic) cooling using higher order interactions. Another advantage is illustrated in a thermometry scenario, where a qubit is employed to probe the temperature of the environment. In this case, we show that a catalyst allows to surpass the optimal temperature estimation attained only with the probe.

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Section: Discussionmentioning

confidence: 87%

Section: Introductionmentioning

confidence: 95%

Catalytic transformations with finite-size environments: applications to cooling and thermometry

Henao

Uzdin

2021

Quantum

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“…Quantum parameter estimation is a rapidly developing research field, which has many potential applications from gravitational wave detection [1,2], quantum radar [3,4], quantum illumination [5,6] to various ultrasensitive quantum thermometries [7][8][9] and magnetometers [10,11]. As demonstrated in many previous theoretical and experimental studies, using quantum coherence [12], quantum entanglement [13][14][15], quantum squeezing [16][17][18] and quantum criticality [19][20][21][22], the performance of quantum metrology can surpass the socalled shot-noise limit or standard quantum limit, which is usually achieved in classical metrological schemes.…”

Section: Introductionmentioning

confidence: 99%

Effects of counter-rotating-wave terms on the noisy frequency estimation

Zhang,

2021

Preprint

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We investigate the problem of estimating the tunneling frequency of a two-level atomic system embedded in a dissipative environment by employing a numerically rigorous hierarchical equations of motion method. The effect of counter-rotating-wave terms on the attainable precision of the noisy quantum metrology is systematically studied beyond the usual framework of perturbative treatments. Our results provide a very robust evidence that the counter-rotating-wave terms are able to boost the noisy quantum metrological performance whether the dissipative environment is composed of bosons or fermions. The result presented in this paper may pave a guideline to design a high-precision quantum estimation scenario under practical decoherence.

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“…Introduction.-Quantum metrology with entangled resources has been shown to reach the Heisenberg limit of sensitivity with respect to the number of qubits [1][2][3][4][5][6]. It may provide significant improvements for versatile applications such as atomic-frequency [7,8] and electron-spinresonance measurements [9][10][11], magnetometry [12][13][14][15][16][17][18][19], thermometry [20][21][22], and electrometer [23,24].…”

mentioning

confidence: 99%