Time and quantum clocks: A review of recent developments

MB Altaie, D Hodgson, A Beige - Frontiers in Physics, 2022 - frontiersin.org
In this review we present the problem of time in quantum physics, including a short history of
the problem and the known objections about considering time as a quantum observable …

Quantizing time: interacting clocks and systems

ARH Smith, M Ahmadi - Quantum, 2019 - quantum-journal.org
This article generalizes the conditional probability interpretation of time in which time
evolution is realized through entanglement between a clock and a system of interest. This …

Resource speed limits: maximal rate of resource variation

F Campaioli, C Yu, FA Pollock, K Modi - New Journal of Physics, 2022 - iopscience.iop.org
Recent advances in quantum resource theories have been driven by the fact that many
quantum information protocols make use of different facets of the same physical features, eg …

Parallel-in-time quantum simulation via Page and Wootters quantum time

NL Diaz, P Braccia, M Larocca, JM Matera… - arxiv preprint arxiv …, 2023 - arxiv.org
In the past few decades, researchers have created a veritable zoo of quantum algorithm by
drawing inspiration from classical computing, information theory, and even from physical …

Entanglement-asymmetry correspondence for internal quantum reference frames

AC De la Hamette, SL Ludescher, MP Müller - Physical Review Letters, 2022 - APS
In the quantization of gauge theories and quantum gravity, it is crucial to treat reference
frames such as rods or clocks not as idealized external classical relata, but as internal …

History state formalism for scalar particles

NL Diaz, JM Matera, R Rossignoli - Physical Review D, 2019 - APS
We present a covariant quantum formalism for scalar particles based on an enlarged Hilbert
space. The particular physical theory can be introduced through a timeless Wheeler DeWitt …

A model of quantum spacetime

T Favalli, A Smerzi - AVS Quantum Science, 2022 - pubs.aip.org
We consider a global quantum system (the “Universe”) satisfying a double constraint, both
on total energy and total momentum. Generalizing the Page and Wootters quantum clock …

Time in quantum mechanics: A fresh look at the continuity equation

A Schild - Physical Review A, 2018 - APS
The local conservation of a physical quantity whose distribution changes with time is
mathematically described by the continuity equation. The corresponding time parameter …

Entropic energy-time uncertainty relation

PJ Coles, V Katariya, S Lloyd, I Marvian, MM Wilde - Physical Review Letters, 2019 - APS
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 …

Spacetime quantum and classical mechanics with dynamical foliation

NL Diaz, JM Matera, R Rossignoli - Physical Review D, 2024 - APS
The conventional phase space of classical physics treats space and time differently, and this
difference carries over to field theories and quantum mechanics (QM). In this paper, the …