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We consider Hamiltonian quantum systems with energy bandwidth \Delta E and show that each measurement that determines the time up to an error \Delta t generates at least the entropy (\hbar/(\Delta t \Delta E))^2/2. Our result describes…

Quantum Physics · Physics 2007-05-23 Dominik Janzing , Thomas Beth

All clocks, classical or quantum, are open non equilibrium irreversible systems subject to the constraints of thermodynamics. Using examples I show that these constraints necessarily limit the performance of clocks and that good clocks…

Quantum Physics · Physics 2020-12-30 G J Milburn

A critical analysis of the feasibility of reversible computing is performed. The key question is: Is it possible to build a completely reversible computer? A closer look into the internal aspects of the reversible computing as well as the…

Quantum Physics · Physics 2017-03-01 Martin Lukac , Gerhard W. Dueck , Michitaka Kameyama , Anirban Pathak

The generation of time signals is a fundamental task in science. Here we study the relation between the quality of a time signal and the physics of the system that generates it. According to quantum theory, any time signal can be decomposed…

Quantum Physics · Physics 2020-04-20 Yuxiang Yang , Renato Renner

In order to unitarily evolve a quantum system, an agent requires knowledge of time, a parameter which no physical clock can ever perfectly characterise. In this letter, we study how limitations on acquiring knowledge of time impact…

Quantum Physics · Physics 2023-10-24 Jake Xuereb , Florian Meier , Paul Erker , Mark T. Mitchison , Marcus Huber

The statistical state of any (classical or quantum) system with non-trivial time evolution can be interpreted as the pointer of a clock. The quality of such a clock is given by the statistical distinguishability of its states at different…

Quantum Physics · Physics 2007-05-23 Dominik Janzing , Thomas Beth

Conventional computing has many sources of heat dissipation, but one of these--the Landauer limit--poses a fundamental lower bound of 1 bit of entropy per bit erased. 'Reversible Computing' avoids this source of dissipation, but is…

Quantum Physics · Physics 2022-10-25 Hannah Earley

Using a thermodynamically consistent, mesoscopic model for modern complementary metal-oxide-semiconductor transistors, we study an array of logical circuits and explore how their function is constrained by recent thermodynamic uncertainty…

Statistical Mechanics · Physics 2025-03-28 Phillip Helms , Songela W. Chen , David T. Limmer

We consider a periodic quantum clock based on cooperative resonance fluorescence at zero temperature. In the quantum case, this system has an exact steady state and the limit cycle appears in conditional quantum dynamics under homodyne…

Quantum Physics · Physics 2025-03-18 Varinder Singh , Euijoon Kwon , G J Milburn

Time remains one of the least well understood concepts in physics, most notably in quantum mechanics. A central goal is to find the fundamental limits of measuring time. One of the main obstacles is the fact that time is not an observable…

Quantum Physics · Physics 2017-08-08 Paul Erker , Mark T. Mitchison , Ralph Silva , Mischa P. Woods , Nicolas Brunner , Marcus Huber

Quantum information processing rests on our ability to manipulate quantum superpositions through coherent unitary transformations. In reality the quantum information processor (a linear ion trap, or cavity qed implementation for example)…

Quantum Physics · Physics 2009-10-30 S. Bose , P. L. Knight , M. Murao , M. B. Plenio , V. Vedral

Precise and autonomous clocks are of fundamental interest and central importance to both foundational studies and practical applications. Here, we construct a blueprint for a quantum clock governed by time-independent interactions. By…

Quantum Physics · Physics 2026-04-27 Chad Nelmes , Emanuel Schwarzhans , Tony Apollaro , Timothy Spiller , Irene D'Amico

The emergence of irreversibility in physical processes, despite the fundamentally reversible nature of quantum mechanics, remains an open question in physics. This thesis explores the intricate relationship between quantum mechanics and…

Quantum Physics · Physics 2024-10-25 Alberto Rolandi

No process in nature can perfectly clone an arbitrary quantum state. But is it possible to engineer processes that replicate quantum information with vanishingly small error? Here we demonstrate the possibility of probabilistic…

Quantum Physics · Physics 2014-04-07 Giulio Chiribella , Yuxiang Yang , Andrew Chi-Chih Yao

Giving a universal upper bound on the power output of heat engines is a long-standing open problem. We tackle this problem for generic quantum machines in self-contained formulation by carefully including the switching process of the…

Quantum Physics · Physics 2018-01-03 Kosuke Ito , Takayuki Miyadera

We consider quantum computation efficiency from a new perspective. The efficiency is reduced to its classical counterpart by imposing the semi-classical limit. We show that this reduction is caused by the fact that any elementary quantum…

Quantum Physics · Physics 2019-11-11 Maksym Teslyk , Olena Teslyk

Reversible computation has been recognised as a potential solution to the technological bottleneck in the future of computing machinery. Rolf Landauer determined the lower limit for power dissipation in computation and noted that…

Emerging Technologies · Computer Science 2019-11-18 Harun Siljak , Julien de Rosny , Mathias Fink

Overdamped stochastic systems maintained far from equilibrium can display sustained oscillations with fluctuations that decrease with the system size. The correlation time of such noisy limit cycles expressed in units of the cycle period is…

Statistical Mechanics · Physics 2025-01-31 Davide Santolin , Gianmaria Falasco

A clock is, from an information-theoretic perspective, a system that emits information about time. One may therefore ask whether the theory of information imposes any constraints on the maximum precision of clocks. Here we show a…

Quantum Physics · Physics 2022-02-28 Mischa P. Woods , Ralph Silva , Gilles Pütz , Sandra Stupar , Renato Renner

We consider how the energy cost of bit reset scales with the time duration of the protocol. Bit reset necessarily takes place in finite time, where there is an extra penalty on top of the quasistatic work cost derived by Landauer. This…

Quantum Physics · Physics 2023-01-23 Yi-Zheng Zhen , Dario Egloff , Kavan Modi , Oscar Dahlsten
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