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Topological quantum computations are built on a foundation of two basic tasks: preserving logical observables through time and moving logical observables through space. Memory experiments, which check how well logical observables are…

Quantum Physics · Physics 2022-08-24 Craig Gidney

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…

Statistical Mechanics · Physics 2022-01-05 Tan Van Vu , Keiji Saito

In the measurement of a continuous observable Q, the pure components of the reduced state do, in general, depend on the initial state. For measurements which attempt to localize the measured system in a certain region R, the localized wave…

High Energy Physics - Phenomenology · Physics 2007-05-23 Kai J. Druhl

Erasing memory is a fundamental operational task in quantum information processing, governed by Landauer's principle, which links information loss to thermodynamic work. We introduce and analyze assisted quantum erasure, where correlations…

Quantum Physics · Physics 2025-12-08 Mir Alimuddin , Nathan Shettell , Raja Yehia , Antonio Acín , Federico Centrone

Landauer's principle states that information erasure requires heat dissipation. Landauer's original result focused on equilibrium memories. We here investigate the reset of information stored in a nonequilibrium state of a symmetric…

Statistical Mechanics · Physics 2018-06-05 Michael Konopik , Alexander Friedenberger , Nikolai Kiesel , Eric Lutz

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

Effective classicality of a property of a quantum system can be defined using redundancy of its record in the environment. This allows quantum physics to approximate the situation encountered in the classical world: The information about a…

Quantum Physics · Physics 2007-05-23 W. H. Zurek

The first law of thermodynamics, which governs energy conservation, is traditionally formulated as an equality. Surprisingly, we demonstrate that the first law alone implies a universal Landauer-like inequality linking changes in system…

Quantum Physics · Physics 2023-08-17 Junjie Liu , Hanlin Nie

The second law of thermodynamics states that entropy increases (or does not change) by time in an isolated system. As microscopic physical laws are reversible, the origin of irreversibility is not straightforward. Although the outcome of a…

Statistical Mechanics · Physics 2013-02-19 Balint Szabo

Using the operational framework of completely positive, trace preserving operations and thermodynamic fluctuation relations, we derive a lower bound for the heat exchange in a Landauer erasure process on a quantum system. Our bound comes…

Quantum Physics · Physics 2015-02-11 John Goold , Mauro Paternostro , Kavan Modi

A model is presented for the quantum memory, the content of which is a pure quantum state. In this model, the fundamental operations of writing on, reading, and resetting the memory are performed through scattering from the memory. The…

Quantum Physics · Physics 2007-05-23 Tai Tsun Wu , Ming Lun Yu

Thermodynamics connects our knowledge of the world to our capability to manipulate and thus to control it. This crucial role of control is exemplified by the third law of thermodynamics, Nernst's unattainability principle, which states that…

Landauer's principle states that the erasure of information must be a dissipative process. In this paper, we carefully analyze the recording and erasure of information on a physical memory. On the one hand, we show that in order to record…

Statistical Mechanics · Physics 2015-06-15 Léo Granger , Holger Kantz

Landauer's erasure principle states that the irreversible erasure of a one-bit memory, embedded in a thermal environment, is accompanied with a work input of at least $k_{\text{B}}T\ln2$. Fundamental to that principle is the assumption that…

Statistical Mechanics · Physics 2019-01-31 Jan Klaers

We review the physical foundations of Landauer's Principle, which relates the loss of information from a computational process to an increase in thermodynamic entropy. Despite the long history of the Principle, its fundamental rationale and…

Emerging Technologies · Computer Science 2019-01-30 Michael P. Frank

An analysis of quantum measurement is presented that relies on an information-theoretic description of quantum entanglement. In a consistent quantum information theory of entanglement, entropies (uncertainties) conditional on measurement…

Quantum Physics · Physics 2008-02-03 N. J. Cerf , C. Adami

A central question since the beginning of quantum information science is how two distant parties can convert one entangled state into another. It has been conjectured that such conversions could be executed reversibly in an asymptotic…

Quantum Physics · Physics 2025-07-08 Ray Ganardi , Tulja Varun Kondra , Nelly H. Y. Ng , Alexander Streltsov

We propose a theory of quantum (statistical) measurement which is close, in spirit, to Hepp's theory, which is centered on the concepts of decoherence and macroscopic (classical) observables, and apply it to a model of the Stern-Gerlach…

Mathematical Physics · Physics 2023-03-01 Walter F. Wreszinski

The Brownian motion of a quantum particle in a harmonic confining potential and coupled to a harmonic quantum thermal bath is exactly solvable. It is shown that at low enough temperatures the stationary state is non-Gibbsian due to an…

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

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