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Improved bound on entropy production in a quantum annealer
Michele Campisi1,2, Lorenzo Buffoni2
1NEST, Istituto Nanoscienze-CNR and Scuola Normale Superiore, I-56127 Pisa, Italy.
Physical Review. E
|September 16, 2021
Summary
Average system dissipation is bounded by the asymmetry of its probability distributions. This new lower bound is tighter than existing ones and is experimentally verifiable, demonstrated through quantum annealing.
Area of Science:
- Thermodynamics
- Statistical Mechanics
- Quantum Information
Background:
- The fluctuation theorem provides insights into the statistical properties of thermodynamic processes.
- Existing bounds on dissipation, such as the thermodynamic uncertainty relation, are crucial for understanding energy exchange in systems.
Purpose of the Study:
- To establish a novel lower bound for average dissipation in systems governed by the fluctuation theorem.
- To demonstrate that this bound is tighter and saturable compared to existing relations.
Main Methods:
- Formal mathematical proof using multivariate probability density functions.
- Derivation of a lower bound based on the relative entropy of marginal distributions.
- Experimental application to quantum annealing systems.
Main Results:
- A new lower bound for average dissipation is derived, directly related to the asymmetry of marginal probability distributions.
- The derived bound is proven to be tighter than the thermodynamic uncertainty relation.
- The bound is shown to be saturable, meaning it can be reached under certain conditions.
Conclusions:
- The established lower bound offers a more precise way to quantify dissipation in fluctuating systems.
- The findings have implications for understanding and experimentally estimating dissipation, particularly in quantum systems like quantum annealers.
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