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Quantum complexity measures the difficulty of realizing a quantum process, such as preparing a state or implementing a unitary. We present an approach to quantifying the thermodynamic resources required to implement a process if the…

We study quantum evolution of the entanglement of a quantum dot connected to left and right leads initially maintained at chemical potentials $\mu_{L}$ and $\mu_{R}$ respectively, within the non-interacting resonant-level model. The full…

Strongly Correlated Electrons · Physics 2015-06-24 Auditya Sharma , Eran Rabani

This paper is concerned with open quantum memory systems for approximately retaining quantum information, such as initial dynamic variables or quantum states to be stored over a bounded time interval. In the Heisenberg picture of quantum…

Quantum Physics · Physics 2025-10-10 Igor G. Vladimirov , Ian R. Petersen , Guodong Shi

Optimal transport theory, originally developed in the 18th century for civil engineering, has since become a powerful optimization framework across disciplines, from generative AI to cell biology. In physics, it has recently been shown to…

Statistical Mechanics · Physics 2025-12-02 Shingo Oikawa , Yohei Nakayama , Sosuke Ito , Takahiro Sagawa , Shoichi Toyabe

This paper addresses the optimal control of quantum coherence in multi-level systems, modeled by the Lindblad master equation, which captures both unitary evolution and environmental dissipation. We develop an energy minimization framework…

Quantum Physics · Physics 2024-11-19 Nahid Binandeh Dehaghani , A. Pedro Aguiar , Rafal Wisniewski

Landauer's principle states that erasing a bit of information at fixed temperature T costs at least kT ln 2 units of work. Here we investigate erasure at varying temperature, to which Landauer's result does not apply. We formulate bit…

Statistical Mechanics · Physics 2023-12-29 Stephen Whitelam

How quantum coherence influences thermodynamic behavior remains an open question in quantum thermodynamics. Here we investigate this relation within the pure dephasing framework, where a central qubit interacts with a finite Ising-like spin…

Quantum Physics · Physics 2026-03-31 Marino P. Lenzarini , Diogo O. Soares-Pinto

According to Landauer's principle, erasure of information is the only part of a computation process that unavoidably involves energy dissipation. If done reversibly, such an erasure generates the minimal heat of $k_BT\ln 2$ per erased bit…

Mesoscale and Nanoscale Physics · Physics 2017-01-20 Dmitri V. Averin , Jukka P. Pekola

We derive an expression for the equilibrium probability distribution of a quantum state in contact with a noisy thermal environment that formally separates contributions from quantum and classical forms of probabilistic uncertainty. A…

Quantum Physics · Physics 2024-10-10 Henrik J. Heelweg , Amro Dodin , Adam P. Willard

Landauer's principle, often regarded as the foundation of the thermodynamics of information processing, holds that any logically irreversible manipulation of information, such as the erasure of a bit or the merging of two computation paths,…

Classical Physics · Physics 2011-01-11 Charles H. Bennett

Landauer's principle states that it costs at least kTln2 of work to reset one bit in the presence of a heat bath at temperature T. The bound of kTln2 is achieved in the unphysical infinite-time limit. Here we ask what is possible if one is…

Quantum Physics · Physics 2014-09-16 Cormac Browne , Andrew J. P. Garner , Oscar C. O. Dahlsten , Vlatko Vedral

We explore the fundamental limits on thermodynamic irreversibility when cooling a quantum system in the presence of a finite-size reservoir. First, we prove that for any non-interacting $n$-particle reservoir, the entropy production…

Quantum Physics · Physics 2025-12-10 Patryk Lipka-Bartosik , Martí Perarnau-Llobet

We measured the energy efficiency of information erasure using silicon DRAM cells capable of counting charges on capacitors at the single-electron level. Our measurements revealed that the efficiency decreased as the erasure error…

Statistical Mechanics · Physics 2026-04-01 Takase Shimizu , Kensaku Chida , Gento Yamahata , Katsuhiko Nishiguchi

Extending the quantum formulation of [Phys. Rev. X 3, 041003 (2013)] to a more general setting for studying the thermodynamics of information processing including initial correlations, we generalize the second law of thermodynamics to…

Quantum Physics · Physics 2025-11-13 Shou-I Tang , Emery Doucet , Akram Touil , Sebastian Deffner , Akira Sone

We briefly address Landauer's Principle and some related issues in thermal demons. We show that an error-free Turing computer works in the zero-entropy limit, which proves Landauer's derivation incorrect. To have a physical logic gate,…

General Physics · Physics 2015-06-23 Laszlo B. Kish , Claes-Goran Granqvist , Sunil P. Khatri , Janusz Smulko

We revisit the Caldeira-Leggett model of quantum Brownian motion with Ohmic spectral density, and derive an additional contribution to the decoherence kernel in a new high-temperature limit at arbitrarily large cut-off frequency. This…

Quantum Physics · Physics 2025-08-21 Graeme Pleasance , Erik Aurell , Francesco Petruccione

Thermodynamic trade-off relations dictate fundamental limits on the performance of thermodynamic tasks through costs such as heat dissipation. Here, we propose a framework called thermodynamic recycling to circumvent these limits in quantum…

Quantum Physics · Physics 2026-04-28 Nobumasa Ishida , Yoshihiko Hasegawa

We introduce a universal scheme to divide the power output of a periodically driven quantum heat engine into a classical contribution and one stemming solely from quantum coherence. Specializing to Lindblad-dynamics and small driving…

Statistical Mechanics · Physics 2017-10-27 Kay Brandner , Michael Bauer , Udo Seifert

Landauer erasure seems to provide a powerful link between thermodynamics and information processing (logical computation). The only logical operations that require a generation of heat are logically irreversible ones, with the minimum heat…

History and Philosophy of Physics · Physics 2009-12-11 O. J. E. Maroney

The Landau-Zener problem, where a minimum energy separation is passed with constant rate in a two-state quantum-mechanical system, is an excellent model quantum system for a computational project. It requires a low-level computational…

Quantum Physics · Physics 2023-06-21 Livia A. J. Guttieres , Marko D. Petrovic , James K. Freericks