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Black Box Work Extraction and Composite Hypothesis Testing
Kaito Watanabe1, Ryuji Takagi1
1Department of Basic Science, <a href="https://ror.org/057zh3y96">The University of Tokyo</a>, 3-8-1 Komaba, Meguro-ku, Tokyo 153-8902, Japan.
Optimal work extraction in quantum thermodynamics is now possible without full initial state information. This black box approach links extractable work to hypothesis testing, providing a new understanding of quantum information theory and thermodynamics.
Area of Science:
- Quantum Thermodynamics
- Quantum Information Theory
Background:
- Optimal work extraction is central to quantum thermodynamics.
- Previous analyses required complete knowledge of the initial quantum state.
Purpose of the Study:
- Introduce a general framework for black box work extraction.
- Address scenarios where initial state information is inaccessible.
Main Methods:
- Developed a general framework for black box work extraction.
- Characterized optimal extractable work via composite hypothesis testing.
- Reduced work extraction to quantum Stein's lemma in composite hypothesis testing.
Main Results:
- Optimal extractable work is determined by composite hypothesis testing performance.
- Provided an exact characterization of asymptotic work extraction using Helmholtz free energy.
- Introduced a new quantum Stein's lemma for correlated composite hypotheses.
Conclusions:
- Demonstrated the critical role of initial state information in work extraction.
- Offered a novel interpretation of quantities in composite quantum hypothesis testing.
- Highlighted the synergy between quantum thermodynamics and information theory.
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