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Finite-Time Quantum Landauer Principle and Quantum Coherence.
1Department of Physics, Keio University, 3-14-1 Hiyoshi, Kohoku-ku, Yokohama 223-8522, Japan.
Physical Review Letters
|January 21, 2022
Summary
Information erasure dissipates heat, with quantum coherence increasing costs. Finite-time processes show heat dissipation lower bounded by Landauer cost and operational time, influenced by quantum coherence.
Area of Science:
- Quantum Information Science
- Thermodynamics
- Statistical Mechanics
Background:
- The Landauer principle establishes a fundamental link between information processing and thermodynamic cost.
- Irreversible information erasure necessitates energy dissipation into the environment.
- Understanding heat dissipation in finite-time processes is crucial for efficient computation.
Purpose of the Study:
- To investigate heat dissipation during finite-time information erasure in open quantum systems.
- To analyze the impact of quantum coherence on thermodynamic costs.
- To derive bounds for heat dissipation considering operational time and coherence.
Main Methods:
- Modeling information erasure in an open quantum system using the Markovian Lindblad equation.
- Deriving lower bounds for heat dissipation, incorporating Landauer cost and time-dependent corrections.
- Quantifying heat dissipation in terms of quantum coherence using optimal control theory and numerical simulations on a single-qubit system.
Main Results:
- Dissipated heat is lower bounded by the Landauer limit and a term inversely proportional to operational time.
- Quantum coherence in the energy eigenbasis during erasure leads to unavoidable additional heat costs.
- Derived bounds are independent of operational time and control protocols.
Conclusions:
- Finite-time information erasure incurs thermodynamic costs influenced by both time and quantum coherence.
- Quantum coherence, while powerful, introduces an energetic penalty for information erasure.
- The findings provide fundamental insights into the thermodynamics of quantum information processing.
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