Finite-Time Quantum Landauer Principle and Quantum Coherence
- URL: http://arxiv.org/abs/2106.05743v3
- Date: Tue, 16 Nov 2021 12:50:28 GMT
- Title: Finite-Time Quantum Landauer Principle and Quantum Coherence
- Authors: Tan Van Vu and Keiji Saito
- Abstract summary: We show that the dissipated heat is lower-bounded by the conventional Landauer cost.
We derive a lower bound for heat dissipation in terms of quantum coherence.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: The Landauer principle states that any logically irreversible information
processing must be accompanied by dissipation into the environment. In this
study, we investigate the heat dissipation associated with finite-time
information erasure and the effect of quantum coherence in such processes. By
considering a scenario wherein information is encoded in an open quantum system
whose dynamics are described by the Markovian Lindblad equation, we show that
the dissipated heat is lower-bounded by the conventional Landauer cost, as well
as a correction term inversely proportional to the operational time. To clarify
the relation between quantum coherence and dissipation, we derive a lower bound
for heat dissipation in terms of quantum coherence. This bound quantitatively
implies that the creation of quantum coherence in the energy eigenbasis during
the erasure process inevitably leads to additional heat costs. The obtained
bounds hold for arbitrary operational time and control protocol. By following
an optimal control theory, we numerically present an optimal protocol and
illustrate our findings by using a single-qubit system.
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