Corpus ID: 196470865

Asymptotic Reversibility of Thermal Operations for Interacting Quantum Spin Systems via Generalized Quantum Stein's Lemma

@article{Sagawa2019AsymptoticRO,
  title={Asymptotic Reversibility of Thermal Operations for Interacting Quantum Spin Systems via Generalized Quantum Stein's Lemma},
  author={T. Sagawa and P. Faist and K. Kato and K. Matsumoto and H. Nagaoka and F. G. S. L. Brandao},
  journal={arXiv: Quantum Physics},
  year={2019}
}
  • T. Sagawa, P. Faist, +3 authors F. G. S. L. Brandao
  • Published 2019
  • Physics
  • arXiv: Quantum Physics
  • For quantum spin systems in any spatial dimension with a local, translation-invariant Hamiltonian, we prove that asymptotic state convertibility from a quantum state to another one by a thermodynamically feasible class of quantum dynamics, called thermal operations, is completely characterized by the Kullback-Leibler (KL) divergence rate, if the state is translation-invariant and spatially ergodic. Our proof consists of two parts and is phrased in terms of a branch of the quantum information… CONTINUE READING
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    References

    SHOWING 1-10 OF 94 REFERENCES
    Macroscopic Thermodynamic Reversibility in Quantum Many-Body Systems.
    • 5
    • PDF
    Quantum Approximate Markov Chains are Thermal
    • 16
    • PDF
    Quantum majorization and a complete set of entropic conditions for quantum thermodynamics
    • 58
    • PDF
    Quantum Error Correcting Codes in Eigenstates of Translation-Invariant Spin Chains.
    • 28
    • PDF
    Thermodynamic Capacity of Quantum Processes.
    • 21
    • PDF
    A Generalization of Quantum Stein’s Lemma
    • 76
    • PDF
    Quantum f-divergences and error correction
    • 116
    • PDF
    Resource theory of quantum states out of thermal equilibrium.
    • 357
    • PDF
    Operational distance and fidelity for quantum channels
    • 45
    • PDF