Quantum thermodynamics with coherence: Covariant Gibbs-preserving operation is characterized by the free energy

• URL: http://arxiv.org/abs/2406.06234v1
• Date: Mon, 10 Jun 2024 13:06:09 GMT
• Title: Quantum thermodynamics with coherence: Covariant Gibbs-preserving operation is characterized by the free energy
• Authors: Naoto Shiraishi,
• Abstract summary: We prove that the state convertibility for any coherent state is fully characterized by the free energy defined with the quantum relative entropy. We can extend this result to general resource theories in the form that imposing the covariant condition to a general resource theory does not change the state convertibility.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The resource theory with covariant Gibbs-preserving operations, also called enhanced thermal operations, is investigated. We prove that with the help of a correlated catalyst, the state convertibility for any coherent state is fully characterized by the free energy defined with the quantum relative entropy. We can extend this result to general resource theories in the form that imposing the covariant condition to a general resource theory does not change the state convertibility as long as the initial state is coherent and distillable. This means that the additional constraint from the law of energy conservation is irrelevant in the correlated-catalytic framework.

Related papers

• Correlated catalyst in quantum thermodynamics [0.0]
  We examine two key properties of thermal operations, the Gibbs preserving property and the covariant property. The state convertibility of a Gibbs preserving operation is fully characterized by the second law of thermodynamics. The state convertibility of a covariant operation is shown to be free as long as an initial state has finite coherence.
  arXiv  Detail & Related papers  (2024-07-14T06:27:17Z)
• Coherence manipulation in asymmetry and thermodynamics [44.99833362998488]
  In the classical regime, thermodynamic state transformations are governed by the free energy. In the quantum regime, coherence and free energy are two independent resources. We show that allowing along with a source of free energy allows us to amplify any quantum coherence present in the quantum state arbitrarily.
  arXiv  Detail & Related papers  (2023-08-24T14:18:19Z)
• Arbitrary Amplification of Quantum Coherence in Asymptotic and Catalytic Transformation [0.0]
  We show how well one can prepare good coherent states from low coherent states and whether a given coherent state is convertible to another one. For a variant of coherence where one aims to prepare desired states in local subsystems, the rate of transformation becomes unbounded regardless of how weak the initial coherence is. Applying this to the standard setting, we find that a catalyst can increase the coherence rate significantly -- from zero to infinite rate.
  arXiv  Detail & Related papers  (2023-08-23T18:00:02Z)
• Catalytic and asymptotic equivalence for quantum entanglement [68.8204255655161]
  Many-copy entanglement manipulation procedures allow for highly entangled pure states from noisy states. We show that using an entangled catalyst cannot enhance the singlet distillation rate of a distillable quantum state. Our findings provide a comprehensive understanding of the capabilities and limitations of both catalytic and state transformations of entangled states.
  arXiv  Detail & Related papers  (2023-05-05T12:57:59Z)
• A resource theory of activity for quantum thermodynamics in the absence of heat baths [1.7249667050060835]
  Active states are an important resource for quantum thermodynamics in the absence of heat baths. We establish a resource theory that captures the operational scenario where an experimenter manipulates a quantum system by means of energy-preserving operations and resets to non-active states.
  arXiv  Detail & Related papers  (2023-04-18T12:01:33Z)
• Gauge Quantum Thermodynamics of Time-local non-Markovian Evolutions [77.34726150561087]
  We deal with a generic time-local non-Markovian master equation. We define current and power to be process-dependent as in classical thermodynamics. Applying the theory to quantum thermal engines, we show that gauge transformations can change the machine efficiency.
  arXiv  Detail & Related papers  (2022-04-06T17:59:15Z)
• Maximum entropy quantum state distributions [58.720142291102135]
  We go beyond traditional thermodynamics and condition on the full distribution of the conserved quantities. The result are quantum state distributions whose deviations from thermal states' get more pronounced in the limit of wide input distributions.
  arXiv  Detail & Related papers  (2022-03-23T17:42:34Z)
• Open-system approach to nonequilibrium quantum thermodynamics at arbitrary coupling [77.34726150561087]
  We develop a general theory describing the thermodynamical behavior of open quantum systems coupled to thermal baths. Our approach is based on the exact time-local quantum master equation for the reduced open system states.
  arXiv  Detail & Related papers  (2021-09-24T11:19:22Z)
• Catalytic Transformations of Pure Entangled States [62.997667081978825]
  Entanglement entropy is the von Neumann entropy of quantum entanglement of pure states. The relation between entanglement entropy and entanglement distillation has been known only for the setting, and the meaning of entanglement entropy in the single-copy regime has so far remained open. Our results imply that entanglement entropy quantifies the amount of entanglement available in a bipartite pure state to be used for quantum information processing, giving results an operational meaning also in entangled single-copy setup.
  arXiv  Detail & Related papers  (2021-02-22T16:05:01Z)
• Quantum thermodynamics of correlated-catalytic state conversion at small-scale [0.0]
  We show a complete characterization of catalytic state conversion in quantum and single-shot thermodynamics. We show that, with the aid of storage, any quantum state can be converted into another one by paying the work cost equal to the difference of the nonequilibrium free energy.
  arXiv  Detail & Related papers  (2020-10-21T14:35:56Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.