English
Related papers

Related papers: Maxwell's Demon, Szilard's Engine and Quantum Meas…

200 papers

Recent progress in manipulating individual quantum systems enables the exploration of engines exploiting non-classical resources. One of the most appealing is the energy provided by the inherent backaction of quantum measurements. While a…

Using a new analytic quantum mechanical method based on Slater's Xalpha method, we show that a fairly accurate estimate of the total energy of a molecule can be obtained from the exact energies of its constituent atoms. The mean absolute…

Materials Science · Physics 2009-11-11 Rajendra R. Zope , Brett I. Dunlap

In this paper we revisit and extend the work done by Chaturvedu et al, as well as Dabrowski and Parashar. The basic premise is to take a deformed coordinate system and give is a concrete realization. This realization is given by a parameter…

Quantum Algebra · Mathematics 2010-03-01 Clark Alexander

This paper presents a simple model for repeated measurement of a quantum system: the evolution of a free particle, simulated by discretising the particle's position. This model is easily simulated by computer and provides a useful arena to…

Quantum Physics · Physics 2009-11-06 David Wallace

This paper discusses a classical simulation to compute the partition function (or free energy) of generic one-dimensional quantum many-body systems. Many numerical methods have previously been developed to approximately solve…

Quantum Physics · Physics 2018-07-24 Tomotaka Kuwahara , Keiji Saito

We present an experimental realization of an autonomous Maxwell's Demon, which extracts microscopic information from a System and reduces its entropy by applying feedback. It is based on two capacitively coupled single electron devices,…

Mesoscale and Nanoscale Physics · Physics 2016-01-06 J. V. Koski , A. Kutvonen , I. M. Khaymovich , T. Ala-Nissila , J. P. Pekola

In apparent contradiction to the laws of thermodynamics, Maxwell's demon is able to cyclically extract work from a system in contact with a thermal bath exploiting the information about its microstate. The resolution of this paradox…

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

Nearly all theoretical analyses of the Maxwell's demon focus on its energetic and entropic costs of operation. Here, we focus on its rate of operation. In our model, a demon's rate limitation stems from its finite response time and gate…

Statistical Mechanics · Physics 2019-08-27 Nathaniel Rupprecht , Dervis Vural

Quantum measurements are our eyes to the quantum systems consisting of a multitude of microscopic degrees of freedom. However, the intrinsic uncertainty of quantum measurements and the exponentially large Hilbert space pose natural barriers…

Strongly Correlated Electrons · Physics 2023-04-07 Jia-Bao Wang , Yi Zhang

The Szilard engine is the simplest possible engine, composed only of one or more particles in a box. The box is then immersed in a heat bath and partitioned into two parts by a wall. It is known that in the cold temperature limit, one may…

Quantum Physics · Physics 2013-08-08 T. K. Chuan , D. Kaszlikowski

Estimating the ground state energy of a multiparticle system with relative error $\e$ using deterministic classical algorithms has cost that grows exponentially with the number of particles. The problem depends on a number of state…

Quantum Physics · Physics 2013-07-23 Anargyros Papageorgiou , Iasonas Petras , Joseph F. Traub , Chi Zhang

Resolution of the century-long paradox on Maxwell's demon reveals a deep connection between information theory and thermodynamics. Although initially introduced as a thought experiment, Maxwell's demon can now be implemented in several…

This work presents a quantum algorithm for solving linear systems of equations of the form $\mathbf{A}{\frac{\mathbf{\partial f}}{\mathbf{\partial x}}} = \mathbf{B}\mathbf{f}$, based on the Quantum Singular Value Transformation (QSVT). The…

Quantum Physics · Physics 2025-07-18 Gal G. Shaviner , Ziv Chen , Steven H. Frankel

We introduce a classical algorithm to approximate the free energy of local, translation-invariant, one-dimensional quantum systems in the thermodynamic limit of infinite chain size. While the ground state problem (i.e., the free energy at…

Quantum Physics · Physics 2024-07-04 Hamza Fawzi , Omar Fawzi , Samuel O. Scalet

Maxwell's demon (MD) has proven an instructive vehicle by which to explore the relationship between information theory and thermodynamics, fueling the possibility of information driven machines. A long standing debate has been the concern…

We introduce the concept of strong quantum speedup. We prove that approximating the ground state energy of an instance of the time-independent Schr\"odinger equation, with $d$ degrees of freedom, $d$ large, enjoys strong exponential quantum…

Quantum Physics · Physics 2013-09-04 Anargyros Papageorgiou , Joseph F. Traub

It is often claimed, that from a quantum system of d levels, and entropy S and heat bath of temperature T one can draw kT(ln d -S) amount of work. However, the usual arguments based on Szilard engine are not fully rigorous. Here we prove…

Quantum Physics · Physics 2007-05-23 Robert Alicki , Michal Horodecki , Pawel Horodecki , Ryszard Horodecki

It has recently been shown that the Jarzynski equality gets modified, when there are experimental errors in computing work. This modified result also holds good in presence of feedback. In this work, we use a simple toy model, that of a…

Statistical Mechanics · Physics 2016-09-05 Sourabh Lahiri , Arun M. Jayannavar

We derive the work performed in the Szilard engine (SZE) by using dissipative work formula of non-equilibrium thermodynamics developed in Kawai et al. Phys. Rev. Lett. 98, 080602 (2007). The work is described as the difference of…

Statistical Mechanics · Physics 2011-08-29 Kang-Hwan Kim , Sang Wook Kim