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Thermodynamic Approach to Quantifying Incompatible Instruments.

Chung-Yun Hsieh1, Shin-Liang Chen2,3,4

  • 1H. H. Wills Physics Laboratory, <a href="https://ror.org/0524sp257">University of Bristol</a>, Tyndall Avenue, Bristol, BS8 1TL, United Kingdom.

Physical Review Letters
|November 12, 2024
PubMed
Summary
This summary is machine-generated.

We introduce a thermodynamic framework to quantify instrument incompatibility. Minimal thermalization time and extractable work both serve as direct measures of this incompatibility, revealing a surprising equivalence.

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Area of Science:

  • Thermodynamics
  • Quantum Information Theory
  • Resource Theories

Background:

  • Instrument incompatibility is a key concept in quantum information science, representing limitations in quantum operations.
  • Quantifying incompatibility is crucial for understanding and utilizing quantum resources effectively.
  • Thermodynamic constraints offer a novel perspective for analyzing quantum phenomena.

Purpose of the Study:

  • To develop a thermodynamic framework for quantifying instrument incompatibility.
  • To establish a connection between thermalization time, work extraction, and instrument incompatibility.
  • To investigate the behavior of incompatibility signatures during thermalization processes.

Main Methods:

  • Utilizing a resource theory framework subject to thermodynamic constraints.
  • Defining incompatibility measure based on minimal thermalization time.
  • Analyzing the relationship between thermalization time and work extraction advantage.
  • Examining incompatibility signatures in non-Markovian thermalization.

Main Results:

  • Instrument incompatibility can be quantified using a thermodynamic approach.
  • The minimal thermalization time to erase incompatibility is equivalent to the incompatibility advantage in work extraction.
  • Both thermalization time and extractable work serve as direct quantifiers of instrument incompatibility.
  • Incompatibility signatures are shown to vanish in non-Markovian thermalization.

Conclusions:

  • A unified thermodynamic approach effectively quantifies instrument incompatibility.
  • The equivalence between thermalization time and work extraction provides a practical measure for incompatibility.
  • Understanding incompatibility's behavior in non-Markovian processes is essential for quantum technologies.