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The classic Landauer bound can be lowered when erasure errors are permitted. Here we point out that continuous phase transitions characterized by an order parameter can also be viewed as information erasure by resetting a certain number of…

Disordered Systems and Neural Networks · Physics 2014-05-30 M. C. Diamantini , C. A. Trugenberger

Pure state entanglement transformations have been thought of as irreversible, with reversible transformations generally only possible in the limit of many copies. Here, we show that reversible entanglement transformations do not require…

Quantum Physics · Physics 2019-07-22 Álvaro M. Alhambra , Lluis Masanes , Jonathan Oppenheim , Christopher Perry

Extracting equilibrium information from nonequilibrium measurements is a challenge task of great importance in understanding the thermodynamic properties of physical, chemical, and biological systems. The discovery of the Jarzynski equality…

Statistical Mechanics · Physics 2021-03-29 Geng Li , Z. C. Tu

Jarzynski's theorem is a well-known equality in statistical mechanics, which relates fluctuations in the work performed during a non-equilibrium transformation of a system, to the free-energy difference between two equilibrium ensembles. In…

High Energy Physics - Lattice · Physics 2016-08-16 Michele Caselle , Gianluca Costagliola , Alessandro Nada , Marco Panero , Arianna Toniato

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

Irreversible information processing cannot be carried out without some inevitable thermodynamical work cost. This fundamental restriction, known as Landauer's principle, is increasingly relevant today, as the energy dissipation of computing…

Quantum Physics · Physics 2015-07-08 Philippe Faist , Frédéric Dupuis , Jonathan Oppenheim , Renato Renner

Landauer principle states that erasure of $N$ bit information requires an entropic cost of $Nk_B \ln 2$. This fact can easily be demonstrated by relaxation of an ideal gas consisting of $N$ particles inside a fixed volume. In this paper we…

Statistical Mechanics · Physics 2017-03-16 P. S. Pal , A. M. Jayannavar

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

We show that information in quantum memory can be erased and recovered perfectly if it is necessary. That the final states of environment are completely determined by the initial states of the system allows that an easure operation can be…

Quantum Physics · Physics 2009-11-10 Qing-Yu Cai

We present a generalization of Jarzynski's Equality, applicable to quantum systems, relating discretized mechanical work and free-energy changes. The theory is based on a step-wise pulling protocol. We find that work distribution functions…

Quantum Physics · Physics 2012-09-21 Van A. Ngo , Stephan Haas

Equilibrium thermodynamics is combined with Jarzynski's irreversible work theorem to quantify the excess entropy produced by irreversible processes. The resulting rectified form of the second law parallels the first law, in the sense that…

Statistical Mechanics · Physics 2007-05-23 Dor Ben-Amotz , J. M. Honig

A restricted form of Landauer's Principle, independent of computational considerations, is shown to hold for thermal systems by reference to the joint entropy associated with conjugate observables. It is shown that the source of the…

Quantum Physics · Physics 2024-01-15 R. E. Kastner , Andreas Schlatter

The erasure of a classical bit of information is a dissipative process. The minimum heat produced during this operation has been theorized by Rolf Landauer in 1961 to be equal to $k_B T \ln 2$ and takes the name of Landauer limit, Landauer…

Mesoscale and Nanoscale Physics · Physics 2016-09-28 Igor Neri , Miquel López-Suárez

The two-time measurement scheme is well studied in the context of quantum fluctuation theorem. However, it becomes infeasible when the random variable determined by a single measurement trajectory is associated with the von-Neumann entropy…

Quantum Physics · Physics 2023-04-20 Akira Sone , Naoki Yamamoto , Tharon Holdsworth , Prineha Narang

According to Landauer's principle, erasing one bit of information incurs a minimum energy cost. Recently, Vaccaro and Barnett (VB) explored information erasure within the context of generalized Gibbs ensembles and demonstrated that for…

Quantum Physics · Physics 2017-02-15 Toshio Croucher , Salil Bedkihal , Joan A. Vaccaro

Landauer's "principle" claims that erasing one bit of information necessarily dissipates at least Tln2 of heat into the surroundings, making a possibly logically irreversible operation also thermodynamically irreversible. It is commonly…

General Physics · Physics 2024-12-02 Didier Lairez

Information erasure inevitably leads to heat dissipation. Minimizing this dissipation will be crucial for developing small-scale information processing systems, but little is known about the optimal procedures required. We have obtained…

Statistical Mechanics · Physics 2015-06-17 Patrick R. Zulkowski , Michael R. DeWeese

Nonequilibrium information thermodynamics determines the minimum energy dissipation to reliably erase memory under time-symmetric control protocols. We demonstrate that its bounds are tight and so show that the costs overwhelm those implied…

Statistical Mechanics · Physics 2021-04-28 Gregory W. Wimsatt , Alexander B. Boyd , Paul M. Riechers , James P. Crutchfield

The aim of this paper is to investigate the rebinding effect, a phenomenon describing a "short-time memory" which can occur when projecting a Markov process onto a smaller state space. For guaranteeing a correct mapping by the Markov State…

Numerical Analysis · Mathematics 2020-12-04 Susanne Röhl , Marcus Weber , Konstantin Fackeldey

Fluctuation theorems, such as the Jarzynski equality and the Crooks relation, are effective tools connecting non-equilibrium work statistics and equilibrium free energy differences. However, detailed hands-on, reproducible protocols for…