Thermodynamically optimal creation of correlations

Bakhshinezhad, Faraj; Clivaz, Fabien; Vitagliano, Giuseppe; Erker, Paul; Rezakhani, A. T.; Huber, Marcus; Friis, Nicolai

doi:10.1088/1751-8121/ab3932

Cited by 16 publications

(10 citation statements)

References 36 publications

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“…Since the completion of this review chapter, progress has been made on this problem, including proofs for the existence of optimally correlating unitaries in local dimensions d = 3 and d = 4, see Ref [53]. …”

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confidence: 99%

Trade-Off Between Work and Correlations in Quantum Thermodynamics

Vitagliano

Klöckl

Huber

et al. 2018

Fundamental Theories of Physics

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Quantum thermodynamics and quantum information are two frameworks for employing quantum mechanical systems for practical tasks, exploiting genuine quantum features to obtain advantages with respect to classical implementations. While appearing disconnected at first, the main resources of these frameworks, work and correlations, have a complicated yet interesting relationship that we examine here. We review the role of correlations in quantum thermodynamics, with a particular focus on the conversion of work into correlations. We provide new insights into the fundamental work cost of correlations and the existence of optimally correlating unitaries, and discuss relevant open problems.

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confidence: 99%

Trade-Off Between Work and Correlations in Quantum Thermodynamics

Vitagliano

Klöckl

Huber

et al. 2018

Fundamental Theories of Physics

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“…In fact, a connection with thermodynamics has been also found in the study conducted in Ref. [48]. There, the authors dealt with the problem of creating the maximum amount of correlations (quantified by mutual information) by employing a limited amount of energy, through the application of a unitary operator.…”

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confidence: 94%

Energy bounds for entangled states

Piccione

Napoli

Bellomo

2020

Phys. Rev. Research

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We find the minimum and the maximum value for the local energy of an arbitrary finite bipartite system for any given amount of entanglement, also identifying families of states reaching these bounds and sharing formal analogies with thermal states. Then, we numerically study the probability of randomly generating pure states close to these energy bounds finding, in all the considered configurations, that it is extremely low except for the two-qubit and highly degenerate cases. These results can be important in quantum technologies to design energetically more efficient protocols.

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“…The work cost of creating correlations in a system with initially uncorrelated thermal subsystems has also been studied in Refs. [24,25].…”

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confidence: 99%

Correlation-enabled energy exchange in quantum systems without external driving

et al. 2022

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We study the role of correlation in mechanisms of energy exchange between an interacting bipartite quantum system and its environment by decomposing the energy of the system to local and correlation-related contributions. When the system Hamiltonian is time independent, no external work is performed. In this case, energy exchange between the system and its environment occurs only due to the change in the state of the system. We investigate the possibility of a special case where the energy exchange with the environment occurs exclusively due to changes in the correlation between the constituent parts of the bipartite system, while their local energies remain constant. We find sufficient conditions for preserving local energies. It is proven that under these conditions and within the Gorini-Kossakowski-Lindblad-Sudarshan dynamics this scenario is not possible for all initial states of the bipartite system. Nevertheless, since the sufficient conditions can be too strong, it is still possible to find special cases for which the local energies remain unchanged during the associated evolution and the whole energy exchange is only due to the change in the correlation energy. We illustrate our results with an example.

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Thermodynamically optimal creation of correlations

Cited by 16 publications

References 36 publications

Trade-Off Between Work and Correlations in Quantum Thermodynamics

Trade-Off Between Work and Correlations in Quantum Thermodynamics

Energy bounds for entangled states

Correlation-enabled energy exchange in quantum systems without external driving

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