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We establish the average-case hardness of the algorithmic problem of exact computation of the partition function associated with the Sherrington-Kirkpatrick model of spin glasses with Gaussian couplings and random external field. In…

Probability · Mathematics 2023-09-19 David Gamarnik , Eren Kizildag

Inspired by the primary goal of quantum thermodynamics -- to characterize quantum signatures and leverage their benefits in thermodynamic scenarios -- , we design a work extraction game within a bipartite framework that exhibits a quantum…

Quantum Physics · Physics 2025-09-15 Tanmoy Biswas , Chandan Datta , Luis Pedro García-Pintos

Work extraction from a heat engine in a cycle by a quantum mechanical device (quantum "piston") is analyzed. The standard definition of work fails in the quantum domain. The correct extractable work and its efficiency bound are shown to…

Quantum Physics · Physics 2013-10-11 D. Gelbwaser-Klimovsky , R. Alicki , G. Kurizki

We propose and analyze a quantum version of Szilard's ``one-molecule engine.'' In particular, we recover, in the quantum context, Szilard's conclusion concerning the free energy ``cost'' of measurements: $\Delta F \geq k_B T\ln2$ per bit of…

Quantum Physics · Physics 2007-05-23 Wojciech Hubert Zurek

This thesis addresses problems in the field of quantum information theory. The first part of the thesis is opened with concrete definitions of general quantum source models and their compression, and each subsequent chapter addresses the…

Quantum Physics · Physics 2020-12-29 Zahra Baghali Khanian

The interplay between thermal machines and quantum correlations is of great interest in both quantum thermodynamics and quantum information science. Recently, a quantum Szil\'ard engine has been proposed, showing that the quantum…

Quantum Physics · Physics 2022-11-03 Feng-Jui Chan , Yi-Te Huang , Jhen-Dong Lin , Huan-Yu Ku , Jui-Sheng Chen , Hong-Bin Chen , Yueh-Nan Chen

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

In 1929, Leo Szilard invented a feedback protocol in which a hypothetical intelligence called Maxwell's demon pumps heat from an isothermal environment and transduces it to work. After an intense controversy that lasted over eighty years;…

Statistical Mechanics · Physics 2012-02-21 Shoichi Toyabe , Takahiro Sagawa , Masahito Ueda , Eiro Muneyuki , Masaki Sano

A heat engine is a machine which uses the temperature difference between a hot and a cold reservoir to extract work. Here both reservoirs are quantum systems and a heat engine is described by a unitary transformation which decreases the…

Quantum Physics · Physics 2009-11-11 Dominik Janzing

In this theoretical study, we determine the maximum amount of work extractable in finite time by a demon performing continuous measurements on a quadratic Hamiltonian system subjected to thermal fluctuations, in terms of the information…

Statistical Mechanics · Physics 2014-10-21 Henrik Sandberg , Jean-Charles Delvenne , Nigel J. Newton , Sanjoy K. Mitter

The control of active colloidal particles via optical traps is a cornerstone for research of matter at the micron and nanometer scale. A central challenge in this domain is the derivation of optimal transport protocols that minimize the…

Soft Condensed Matter · Physics 2026-03-19 Utkarsh Maurya , Kavya Swaminathan , Ejaz Ashraf , Rajesh Singh

We address the question of verifying the quantumness of thermal machines. A Szil\'ard engine is truly quantum if its work output cannot be described by a local hidden state (LHS) model, i. e. an objective local statistical ensemble.…

Quantum Physics · Physics 2019-12-25 Konstantin Beyer , Kimmo Luoma , Walter T. Strunz

We investigate a quantum heat engine with a working substance of two particles, one with a spin $1/2$ and the other with an arbitrary spin (spin $s$), coupled by Heisenberg exchange interaction, and subject to an external magnetic field.…

Quantum Physics · Physics 2016-08-07 Ferdi Altintas , Özgür E. Müstecaplıoğlu

We look at certain thought experiments based upon the 'delayed choice' and 'quantum eraser' interference experiments, which present a complementarity between information gathered from a quantum measurement and interference effects. It has…

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

We formulate the work output and efficiency for linear irreversible heat engines working between a finite-sized hot heat source and an infinite-sized cold heat reservoir until the total system reaches the final thermal equilibrium state…

Statistical Mechanics · Physics 2015-06-17 Yuki Izumida , Koji Okuda

Many signal processing problems can be solved by maximizing the fitness of a segmented model over all possible partitions of the data interval. This letter describes a simple but powerful algorithm that searches the exponentially large…

A Brownian information engine is a device extracting a mechanical work from a single heat bath by exploiting the information on the state of a Brownian particle immersed in the bath. As for engines, it is important to find the optimal…

Statistical Mechanics · Physics 2016-04-06 J. -M. Park , J. S. Lee , J. D. Noh

A suitable way of quantifying work for microscopic quantum systems has been constantly debated in the field of quantum thermodynamics. One natural approach is to measure the average increase in energy of an ancillary system, called the…

Quantum Physics · Physics 2018-05-16 Nelly Huei Ying Ng , Mischa Woods , Stephanie Wehner

We propose a simple protocol exploiting the thermalization of a $\textit{storage}$ bipartite system $S$ to extract work from a $\textit{resource}$ system $R$. The protocol is based on a recent work definition involving only a single bath. A…

Quantum Physics · Physics 2023-09-12 Nicolò Piccione , Benedetto Militello , Anna Napoli , Bruno Bellomo

We study the elementary problem of moving an active particle by a trap with minimum work input. We show analytically that (open-loop) optimal protocols are not affected by activity, but work fluctuations are always increased. For…

Statistical Mechanics · Physics 2025-07-10 Rosalba Garcia-Millan , Janik Schüttler , Michael E. Cates , Sarah A. M. Loos