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Related papers: Speed-Accuracy Trade-Off Relations in Quantum Meas…

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Quantum speed limit, furnishing a lower bound on the required time for the evolution of a quantum system through the state space, imposes an ultimate natural limitation to the dynamics of physical devices. Quantum absorption refrigerators,…

Quantum Physics · Physics 2018-06-13 Chiranjib Mukhopadhyay , Avijit Misra , Samyadeb Bhattacharya , Arun Kumar Pati

The notion of measurements is central for many debates in quantum mechanics. One critical point is whether a measurement can be regarded as an absolute event, giving the same result for any observer in an irreversible manner. Using ideas…

Quantum Physics · Physics 2023-02-20 Zhen-Peng Xu , Jonathan Steinberg , H. Chau Nguyen , Otfried Gühne

Achieving effectively adiabatic dynamics is a ubiquitous goal in almost all areas of quantum physics. Here, we study the speed with which a quantum system can be driven when employing transitionless quantum driving. As a main result, we…

Quantum Physics · Physics 2017-08-09 Steve Campbell , Sebastian Deffner

Joint or simultaneous measurements of non-commuting quantum observables are possible at the cost of increased unsharpness or measurement uncertainty. Many different criteria exist for defining what an "optimal" joint measurement is, with…

The attempt to gain a theoretical understanding of the concept of time in quantum mechanics has triggered significant progress towards the search for faster and more efficient quantum technologies. One of such advances consists in the…

Speed of state transitions in macroscopic systems is a crucial concept for foundations of nonequilibrium statistical mechanics as well as various applications in quantum technology represented by optimal quantum control. While extensive…

Statistical Mechanics · Physics 2022-04-29 Ryusuke Hamazaki

We show that, assuming that quantum mechanics holds locally, the finite speed of information is the principle that limits all possible correlations between distant parties to be quantum mechanical as well. Local quantum mechanics means that…

Quantum Physics · Physics 2010-04-28 H. Barnum , S. Beigi , S. Boixo , M. B. Elliott , S. Wehner

Thermodynamic tradeoff relations quantify the fundamental concept of ``no free lunch'' in the physical world, suggesting that faster and more precise physical processes come at a higher thermodynamic cost. The key elements in these tradeoff…

Statistical Mechanics · Physics 2024-12-11 Yoshihiko Hasegawa , Tomohiro Nishiyama

The thermodynamic uncertainty relation, originally derived for classical Markov-jump processes, provides a trade-off relation between precision and dissipation, deepening our understanding of the performance of quantum thermal machines.…

Statistical Mechanics · Physics 2021-03-31 Junjie Liu , Dvira Segal

Bounds to the speed of evolution of a quantum system are of fundamental interest in quantum metrology, quantum chemical dynamics and quantum computation. We derive a time-energy uncertainty relation for open quantum systems undergoing a…

Quantum Physics · Physics 2013-03-05 A. del Campo , I. L. Egusquiza , M. B. Plenio , S. F. Huelga

All energy measurements of a quantum system are prone to inaccuracies. In particular, if such measurements are carried over a finite period of time the accuracy of the result is affected by the length of that period. Here I show an upper…

Quantum Physics · Physics 2007-05-23 Zbyszek P. Karkuszewski

In general, classical measurement statistics of a quantum measurement is disturbed by performing an additional incompatible quantum measurement beforehand. Using this observation, we introduce a state-independent definition of disturbance…

Quantum Physics · Physics 2016-05-04 S. S. Zhou , Shengjun Wu , H. F. Chau

In this paper we give a new way to quantify the folklore notion that quantum measurements bring a disturbance to the system being measured. We consider two observers who initially assign identical mixed-state density operators to a…

Quantum Physics · Physics 2009-11-06 Christopher A. Fuchs , Kurt Jacobs

We assess precision thermometry for an arbitrary single quantum system. For a $d$-dimensional harmonic system we show that the gap sets a single temperature that can be optimally estimated. Furthermore, we establish a simple linear…

Quantum Physics · Physics 2018-02-06 Steve Campbell , Marco G. Genoni , Sebastian Deffner

Uncertainty relations play a crucial role in quantum mechanics. Well-defined methods exist for the derivation of such uncertainties for pairs of observables. Other approaches also allow the formulation of time-energy uncertainty relations,…

Quantum Physics · Physics 2022-04-12 Ismael L. Paiva , Augusto C. Lobo , Eliahu Cohen

We present a general framework for determining the power-efficiency trade-off relations across arbitrary thermal machines, addressing the lack of unified optimization results stemming from their diverse functionalities (e.g., heat engines,…

Statistical Mechanics · Physics 2025-11-20 Yu-Han Ma , Cong Fu

An open question of fundamental importance in thermodynamics is how to describe the fluctuations of work for quantum coherent processes. In the standard approach, based on a projective energy measurement both at the beginning and at the end…

We derive two fundamental trade-offs for general stochastic limit cycles in the weak-noise limit. The first is the dissipation-coherence trade-off, which was discovered and proved under additional assumptions by Santolin and Falasco [Phys.…

Statistical Mechanics · Physics 2026-05-04 Ryuna Nagayama , Sosuke Ito

The operation of many classical and quantum systems in nonequilibrium steady state is constrained by cost-precision (dissipation-fluctuation) tradeoff relations, delineated by the thermodynamic uncertainty relation (TUR). However, coherent…

Mesoscale and Nanoscale Physics · Physics 2022-04-13 Matthew Gerry , Dvira Segal

In the early days of quantum mechanics, it was believed that the time energy uncertainty principle (TEUP) bounds the efficiency of energy measurements, relating the duration ($\Delta t$) of the measurement, and its accuracy error ($\Delta…

Quantum Physics · Physics 2018-02-07 Yosi Atia , Dorit Aharonov