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Quantum complexity measures the difficulty of realizing a quantum process, such as preparing a state or implementing a unitary. We present an approach to quantifying the thermodynamic resources required to implement a process if the…

A new energy-based stochastic extension of the Schrodinger equation for which the wave function collapses after the passage of a finite amount of time is proposed. An exact closed-form solution to the dynamical equation, valid for all…

Quantum Physics · Physics 2009-11-11 Dorje C. Brody , Lane P. Hughston

Information processing typically occurs via the composition of modular units, such as universal logic gates. The benefit of modular information processing, in contrast to globally integrated information processing, is that complex global…

Statistical Mechanics · Physics 2018-08-08 Alexander B. Boyd , Dibyendu Mandal , James P. Crutchfield

We present some sharper finite extinction time results for solutions of a class of damped nonlinear Schr{\"o}dinger equations when the nonlinear damping term corresponds to the limit cases of some ``saturating non-Kerr law''…

Analysis of PDEs · Mathematics 2024-01-19 Pascal Bégout , Jesús Ildefonso Díaz

The interpretation of quantum theory is one of the longest-standing debates in physics. Type I interpretations see quantum probabilities as determined by intrinsic properties of the observed system. Type II see them as relational…

Quantum Physics · Physics 2016-11-24 Adán Cabello , Mile Gu , Otfried Gühne , Jan-Åke Larsson , Karoline Wiesner

We speculate whether the second law of thermodynamics has more to do with Turing machines than steam pipes. It states the logical reversibility of reality as a computation, i.e., the fact that no information is forgotten: nature computes…

Quantum Physics · Physics 2018-10-15 Stefan Wolf

Landauer's principle states that the erasure of information generates a corresponding amount of entropy in the environment. We show that Landauer's principle provides an intuitive basis for Holevo bound on the classical capacity of a…

Quantum Physics · Physics 2009-10-31 Martin B. Plenio

We perform a well defined derivative expansion to obtain the time dependent effective theory for a BCS superconductor at finite temperature, using an arbitrary curve in the complex time plane. Our expansion is unique, being free of any…

Superconductivity · Physics 2007-05-23 T. S. Evans , D. A. Steer

Accurate information processing is crucial both in technology and in nature. To achieve it, any information processing system needs an initial supply of resources away from thermal equilibrium. Here we establish a fundamental limit on the…

Quantum Physics · Physics 2022-12-14 Giulio Chiribella , Fei Meng , Renato Renner , Man-Hong Yung

While externally driven information engines are well understood, the thermodynamic constraints of their autonomous counterparts remain an open question. Here, we investigate the finite-time operation of an autonomous machine functioning as…

Quantum Physics · Physics 2026-04-20 Wanyan Chen , Miao Chen , Yu-Han Ma

Second law of thermodynamics can be apparently violated for systems whose dynamics depends on acquired information by measurement. However, when one consider measurement and erasure process together along with the system it saves the second…

Statistical Mechanics · Physics 2016-11-08 Shubhashis Rana , A. M. Jayannavar

The Landauer limit is to irreversible logic what the Carnot cycle is to heat engines. This limit is approached in the adiabatic Quantum Flux Parametron (aQFP) by copying the inputs of standard logic gates to produce reversible logic gates,…

Applied Physics · Physics 2025-04-08 Quentin Herr

We develop the full counting statistics of dissipated heat to explore the relation with Landauer's principle. Combining the two-time measurement protocol for the reconstruction of the statistics of heat with the minimal set of assumptions…

Landauer's principle asserts that any computation has an unavoidable energy cost that grows proportionally to its degree of logical irreversibility. But even a logically reversible operation, when run on a physical processor that operates…

Quantum Physics · Physics 2021-05-31 Giulio Chiribella , Yuxiang Yang , Renato Renner

Thermodynamic trade-off relations dictate fundamental limits on the performance of thermodynamic tasks through costs such as heat dissipation. Here, we propose a framework called thermodynamic recycling to circumvent these limits in quantum…

Quantum Physics · Physics 2026-04-28 Nobumasa Ishida , Yoshihiko Hasegawa

Landauer's Principle that information loss from a computation implies entropy increase can be rigorously proved from mathematical physics. However, carefully examining its detailed formulation reveals that the traditional identification of…

Emerging Technologies · Computer Science 2018-06-28 Michael P. Frank

Accurately quantifying the thermodynamic work costs of quantum operations is essential for the continued development and optimisation of emerging quantum technologies. This present a significant challenge in regimes of rapid control within…

Quantum Physics · Physics 2025-12-19 Mike Shubrook , Moritz Cygorek , Erik Gauger , Jake Iles-Smith , Ahsan Nazir

There is intense effort into understanding the universal properties of finite-time models of thermal machines---at optimal performance---such as efficiency at maximum power, coefficient of performance at maximum cooling power, and other…

Statistical Mechanics · Physics 2018-05-23 Ramandeep S. Johal

We analyze Landauer's principle for repeated interaction systems consisting of a reference quantum system $\mathcal{S}$ in contact with an environment $\mathcal{E}$ which is a chain of independent quantum probes. The system $\mathcal{S}$…

Mathematical Physics · Physics 2019-01-29 Eric P. Hanson , Alain Joye , Yan Pautrat , Renaud Raquépas

The finite-size Tomonaga-Luttinger Hamiltonian with an arbitrary potential is mapped onto a non-interacting Fermi gas with renormalized potential. This is done by means of flow equations for Hamiltonians and is valid for small…

Strongly Correlated Electrons · Physics 2009-11-10 T. Stauber