Stochastic Collisional Quantum Thermometry

O'Connor, Eoin; Vacchini, Bassano; Campbell, Steve

doi:10.3390/e23121634

Cited by 10 publications

(6 citation statements)

References 50 publications

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“…The sequential measurement approach shares several commonalities with the recently proposed framework of collisional thermometry [49][50][51][52]. Instead of performing the measurement on the system itself, an auxiliary system is used which interacts (collides) with the probe system and the measurement is subsequently made on this auxiliary system.…”

Section: Relation To Collisional Schemesmentioning

confidence: 99%

Fisher information rates in sequentially measured quantum systems

O’Connor,

Campbell,

Landi

2024

New J. Phys.

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We consider the impact that temporal correlations in the measurement statistics can have on the achievable precision in a sequential metrological protocol. In this setting, and for a single quantum probe, we establish that it is the transitions between the measurement basis states that plays the most significant role in determining the precision, with the resulting conditional Fisher information being interpretable as a rate of information acquisition. Projective measurements are shown to elegantly demonstrate this in two disparate estimation settings. Firstly, in determining the temperature of an environment and, secondly, to ascertain a parameter of the system Hamiltonian. In both settings we show that the sequential estimation approach can provide a useful method to enhance the achievable precision.

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Section: Relation To Collisional Schemesmentioning

confidence: 99%

Fisher information rates in sequentially measured quantum systems

O’Connor,

Campbell,

Landi

2024

New J. Phys.

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“…Inspired by these lines of research, in this work, we consider a specific sub-branch of collision models, the stochastic collision models (SCM) [33,[40][41][42][43]. In this formulation, the collisions are governed by a stochastic process and the unraveling of the evolution of the system can be described in terms of individual random realizations, which are tightly bound with individual runs on a given QC hardware.…”

Section: Introductionmentioning

confidence: 99%

Engineering Transport via Collisional Noise: A Toolbox for Biology Systems

Civolani,

Stanzione,

Chiofalo

et al. 2023

Entropy

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The study of noise assisted-transport in quantum systems is essential in a wide range of applications, from near-term NISQ devices to models for quantum biology. Here, we study a generalized XXZ model in the presence of stochastic collision noise, which allows describing environments beyond the standard Markovian formulation. Our analysis through the study of the local magnetization, the inverse participation ratio (IPR) or its generalization, and the inverse ergodicity ratio (IER) showed clear regimes, where the transport rate and coherence time could be controlled by the dissipation in a consistent manner. In addition, when considering various excitations, we characterized the interplay between collisions and system interactions, identifying regimes in which transport was counterintuitively enhanced when increasing the collision rate, even in the case of initially separated excitations. These results constitute an example of an essential building block for the understanding of quantum transport in structured noisy and warm-disordered environments.

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“…In addition, we obtain an intuitive description of the process as an average of partial measurements of the system. The methods presented in this paper can be implemented in any case of a collision model where the environment is composed of qubits, as in [ 45 , 46 ]. We stress that any open system represented by a collision model can be described by the method presented in this paper including the studies [ 40 , 47 , 48 ].…”

Section: Introductionmentioning

confidence: 99%

Wave Function Realization of a Thermal Collision Model

Shafir

Kosloff

2022

Entropy

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An efficient algorithm to simulate dynamics of open quantum system is presented. The method describes the dynamics by unraveling stochastic wave functions converging to a density operator description. The stochastic techniques are based on the quantum collision model. Modeling systems dynamics with wave functions and modeling the interaction with the environment with a collision sequence reduces the scale of the complexity significantly. The algorithm developed can be implemented on quantum computers. We introduce stochastic methods that exploit statistical characteristics of the model such as Markovianity, Brownian motion, and binary distribution. The central limit theorem is employed to study the convergence of distributions of stochastic dynamics of pure quantum states represented by wave vectors. By averaging a sample of functions in the distribution we prove and demonstrate the convergence of the dynamics to the mixed quantum state described by a density operator.

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Stochastic Collisional Quantum Thermometry

Cited by 10 publications

References 50 publications

Fisher information rates in sequentially measured quantum systems

Fisher information rates in sequentially measured quantum systems

Engineering Transport via Collisional Noise: A Toolbox for Biology Systems

Wave Function Realization of a Thermal Collision Model

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