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We give a short review of known exact inequalities that can be interpreted as "energy-time" and "frequency-time" uncertainty relations. In particular we discuss a precise form of signals minimizing the physical frequency-time uncertainty…

量子物理 · 物理学 2015-04-06 V. V. Dodonov , A. V. Dodonov

The accuracy of the time information generated by clocks can be enhanced by allowing them to communicate with each other. Here we consider a basic scenario where a quantum clock receives a low-accuracy time signal as input and ask whether…

量子物理 · 物理学 2019-12-04 Yuxiang Yang , Lennart Baumgärtner , Ralph Silva , Renato Renner

This paper is divided into three parts. In the first (section 1), we demonstrate that all of quantum mechanics can be derived from the fundamental property that the propagation of a matter wave packet is described by the same gravitational…

量子物理 · 物理学 2013-12-25 Holger Mueller

Proper time, ideal clocks, and boosts are well understood classically, but subtleties arise in quantum physics. We show that quantum clocks set in motion via momentum boosts do not witness classical time dilation. However, using velocity…

量子物理 · 物理学 2020-04-24 A. J. Paige , A. D. K. Plato , M. S. Kim

We analyze qubit-qubit entanglement from an energetic perspective and reveal an energetic trade-off between quantum coherence and entanglement. We decompose each qubit internal energy into a coherent and an incoherent component. The qubits'…

We investigate how the quantum dynamics of gravitational models depends on the internal clock employed in quantisation. Our previous result on the quantum Friedmann-Lemaitre model demonstrates that almost all physical predictions from the…

广义相对论与量子宇宙学 · 物理学 2017-09-01 Przemyslaw Malkiewicz

A fundamental description of time can be consistent not only with the usual monotonic behavior but also with a periodic physical clock variable, coupled to the degrees of freedom of a system evolving in time. Generically, one would in fact…

量子物理 · 物理学 2022-05-25 Martin Bojowald , Luiz Martinez , Garrett Wendel

We study the possibility of discriminating between metric theories within the Parametrized Post-Newtonian formalism. In this approach, the two-dimensional quantum state of a massive quantum clock becomes, after propagating at low speed and…

广义相对论与量子宇宙学 · 物理学 2026-03-12 F. J. Lobo , M. Rivera-Tapia , G. Rubilar , O. Jiménez , A. Delgado

The measurement of time durations or instants of ocurrence of events has been frequently modelled ``operationally'' by coupling the system of interest to a ``clock''. According to several of these models the operational approach is limited…

量子物理 · 物理学 2009-11-07 D. Alonso , R. Sala Mayato , J. G. Muga

It has been recently reported that classical systems have speed limit for state evolution, although such a concept of speed limit had been considered to be unique to quantum systems. Owing to the speed limit for classical system, the lower…

量子物理 · 物理学 2021-07-08 Akihisa Ichiki , Masayuki Ohzeki

Thermal machines are physical systems designed to convert thermal energy into practical work through cyclic state transformations. A key component in such a machine is a clock-equipped control element that dictates which interaction…

Energy-time uncertainty plays an important role in quantum foundations and technologies, and it was even discussed by the founders of quantum mechanics. However, standard approaches (e.g., Robertson's uncertainty relation) do not apply to…

量子物理 · 物理学 2019-03-19 Patrick J. Coles , Vishal Katariya , Seth Lloyd , Iman Marvian , Mark M. Wilde

We study the problem of charging a quantum battery in finite time. We demonstrate an analytical optimal protocol for the case of a single qubit. Extending this analysis to an array of N qubits, we demonstrate that an N-fold advantage in…

量子物理 · 物理学 2015-07-28 Felix C. Binder , Sai Vinjanampathy , Kavan Modi , John Goold

Measurements are ordinarily described with respect to absolute "Newtonian" time. In reality however, the switching-on of the measuring device at the instance of the measurement requires a timing device. Hence the classical time $t$ must be…

量子物理 · 物理学 2009-10-31 Aharon Casher , Benni Reznik

Quantum computers are emerging as a promising new technology due to their ability to solve complex problems that exceed the capabilities of classical systems in terms of time. Among various implementations, superconducting qubits have…

量子物理 · 物理学 2026-05-20 Pedro Ramos , Marco Pezzutto , Yasser Omar

The use of real clocks and measuring rods in quantum mechanics implies a natural loss of unitarity in the description of the theory. We briefly review this point and then discuss the implications it has for the measurement problem in…

量子物理 · 物理学 2008-11-26 Rodolfo Gambini , Jorge Pullin

We discuss the energetic cost of superadiabatic models of quantum computation. Specifically, we investigate the energy-time complementarity in general transitionless controlled evolutions and in shortcuts to the adiabatic quantum search…

量子物理 · 物理学 2016-10-03 Ivan B. Coulamy , Alan C. Santos , Itay Hen , Marcelo S. Sarandy

We propose a solution to the problem of time for systems with a single global Hamiltonian constraint. Our solution stems from the observation that, for these theories, conventional gauge theory methods fail to capture the full classical…

广义相对论与量子宇宙学 · 物理学 2015-05-30 Sean Gryb , Karim Thebault

Decoherence of quantum systems due to uncontrolled fluctuations of the environment presents fundamental obstacles in quantum science. `Clock' transitions which are insensitive to such fluctuations are used to improve coherence, however,…

量子气体 · 物理学 2018-01-24 D. Trypogeorgos , A. Valdés-Curiel , N. Lundblad , I. B. Spielman

We know that space and time are treated almost equally in classical physics, but we also know that this is not the case for quantum mechanics. A quantum description of both space and time is important to really understand the quantum nature…

量子物理 · 物理学 2024-02-20 Ngo Phuc Duc Loc