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The minimum amount of thermodynamic work required in order to implement a quantum computation or a quantum state transformation can be quantified using frameworks based on the resource theory of thermodynamics, deeply rooted in the works of…

Quantum Physics · Physics 2026-01-29 Philippe Faist

We optimize finite-time stochastic heat engines with a periodically scaled Hamiltonian under experimentally motivated constraints on the bath temperature $T$ and the scaling parameter $\lambda$. We present a general geometric proof that…

Statistical Mechanics · Physics 2022-11-28 Zhuolin Ye , Federico Cerisola , Paolo Abiuso , Janet Anders , Martí Perarnau-Llobet , Viktor Holubec

To achieve fast computation, it is crucial to reset the memory to a desired state within a limited time. However, the inherent delay in the system's response often prevents reaching the desired state once the control process is completed in…

Statistical Mechanics · Physics 2024-09-17 Geng Li , Hui Dong

Following the result by Skrzypczyk et al., arXiv:1009.0865, that certain self-contained quantum thermal machines can reach Carnot efficiency, we discuss the functioning of self-contained quantum thermal machines and show, in a very general…

Quantum Physics · Physics 2010-09-15 Sandu Popescu

Landauer's principle sets a fundamental limit on the heat dissipated when one classical bit of information is erased from a memory, thereby establishing a direct link between information theory and thermodynamics. With the advent of quantum…

Quantum Physics · Physics 2025-05-14 Carlos Octavio A. Ribeiro Neto , Bertúlio de Lima Bernardo

A known aspect of the Clausius inequality is that an equilibrium system subjected to a squeezing $\d S<0$ of its entropy must release at least an amount $|\dbarrm Q|=T|\d S|$ of heat. This serves as a basis for the Landauer principle, which…

Statistical Mechanics · Physics 2007-05-23 A. E. Allahverdyan , Th. M. Nieuwenhuizen

Recent understanding of the thermodynamics of small-scale systems have enabled the characterization of the thermodynamic requirements of implementing quantum processes for fixed input states. Here, we extend these results to construct…

Quantum Physics · Physics 2021-07-26 Philippe Faist , Mario Berta , Fernando G. S. L. Brandao

By establishing a relation between information erasure and continuous phase transitions we generalise the Landauer bound to analog computing systems. The entropy production per degree of freedom during erasure of an analog variable (reset…

Information Theory · Computer Science 2016-10-27 M. Cristina Diamantini , Luca Gammaitoni , Carlo A. Trugenberger

Thermodynamics and information have intricate inter-relations. The justification of the fact that information is physical, is done by inter-linking information and thermodynamics - through Landauer's principle. This modern approach towards…

Quantum Physics · Physics 2018-05-29 Manabendra Nath Bera , Andreas Winter , Maciej Lewenstein

We investigate the efficiency at maximum power (EMP) of irreversible quantum Carnot engines that perform finite-time cycles between two temperature tunable baths. The temperature form we adopt can be experimentally realized in squeezed…

Quantum Physics · Physics 2017-10-19 Junjie Liu , Chang-Yu Hsieh , Jianshu Cao

Recent advances in manipulating single electron spins in quantum dots have brought us close to the realization of classical logic gates based on representing binary bits in spin polarizations of single electrons. Here, we show that a linear…

Mesoscale and Nanoscale Physics · Physics 2008-01-28 H. Agarwal , S. Pramanik , S. Bandyopadhyay

It has long been known that to minimise the heat emitted by a deterministic computer during it's operation it is necessary to make the computation act in a logically reversible manner\cite{Lan61}. Such logically reversible operations…

Quantum Physics · Physics 2007-05-23 O. J. E. Maroney

We analyze an engine whose working fluid consists of a single quantum particle, paralleling Szilard's construction of a classical single-particle engine. Following his resolution of Maxwell's Second Law paradox using the latter, which…

Quantum Physics · Physics 2022-12-07 Maryam Ashrafi , Kyle J. Ray , Fabio Anza , James P. Crutchfield

The energy gap is calculated for the ground state quantum computer circuit, which was recently proposed by Mizel et.al. When implementing a quantum algorithm by Hamiltonians containing only pairwise interaction, the inverse of energy gap…

Quantum Physics · Physics 2009-11-10 Wenjin Mao

The study of feedback control inspired by Maxwell's demon is central to the understanding of the relationship between thermodynamics and information. In this paper, we establish fundamental lower limits on the work costs of system…

Quantum Physics · Physics 2026-03-10 Kaiyuan Ji , Gilad Gour , Mark M. Wilde

We study driven finite quantum systems in contact with a thermal reservoir in the regime in which the system changes slowly in comparison to the equilibration time. The associated isothermal adiabatic theorem allows us to control the full…

Mathematical Physics · Physics 2016-09-22 Tristan Benoist , Martin Fraas , Vojkan Jaksic , Claude-Alain Pillet

It is commonly recognized that the Landauer bound holds in (irreversible) quantum operations. In this study, we verified this bound by extracting a single spin from a spin-spin magnetic interaction experiment to demonstrate that the…

General Physics · Physics 2023-07-03 Frank Zhigang Wang

The processing of quantum information always has a cost in terms of physical resources such as energy or time. Determining the resource requirements is not only an indispensable step in the design of practical devices - the resources need…

Quantum Physics · Physics 2022-12-23 Yuxiang Yang , Renato Renner , Giulio Chiribella

The rapid growth of deep neural networks (DNNs) has brought increasing attention to their energy use during training and inference. Here, we establish the thermodynamic bounds on energy consumption in quasi-static analog DNNs by mapping…

Statistical Mechanics · Physics 2025-12-09 Alexei V. Tkachenko

The Landauer principle states that decrease in entropy of a system, inevitably leads to a dissipation of heat to the environment. This statement is usually established by considering the system to be in contact with an environment that is…

Quantum Physics · Physics 2024-10-18 Sayan Mondal , Aparajita Bhattacharyya , Ahana Ghoshal , Ujjwal Sen