aiqbenchInformații despre AI & calcul cuantic

...

Română · beta. Traducerea a fost făcută automat și este încă în curs de revizuire. Citește pagina în engleză

perspectiva aiqbenchCalcul cuantic

This theoretical study establishes the precise mathematical conditions required to maintain unitary evolution in timeless quantum frameworks relative to a specific clock. The findings demonstrate that preserving standard dynamics depends on clock rates remaining constant over time and being independent of internal structural details, offering critical insights for foundational quantum gravity research.

Sursă care acoperăarXiv

Ce este aceastaLectura unui model asupra articolului și a acoperirii conexe, scrisă pentru aiqbench. Nu sunt cuvintele publicației.

Conditions for Unitarity in Timeless Quantum Theory

arXiv16 iunie 20261 min de cititArticolul și perspectiva sunt în engleză.

arXiv:2504.01579v3 Announce Type: replace Abstract: Quantum timeless approaches solve the problem of time by recovering the usual unitary evolution of quantum theory relative to a clock in a stationary quantum Universe. For some Hamiltonians of the Universe, such as those including an interaction term with the clock, the dynamics is substantially altered and can be non-unitary. This work derives necessary and sufficient conditions for the relative dynamics to be unitary and finds the general form of the unitary evolution operator. A physical interpretation of these conditions is given in terms of the clock's rate. Unitary dynamics is associated with rates that are constant in time and independent of the clock's internal structure.

Abstract:Quantum timeless approaches solve the problem of time by recovering the usual unitary evolution of quantum theory relative to a clock in a stationary quantum Universe. For some Hamiltonians of the Universe, such as those including an interaction term with the clock, the dynamics is substantially altered and can be non-unitary. This work derives necessary and sufficient conditions for the relative dynamics to be unitary and finds the general form of the unitary evolution operator. A physical interpretation of these conditions is given in terms of the clock's rate. Unitary dynamics is associated with rates that are constant in time and independent of the clock's internal structure.

arXiv:2504.01579 [quant-ph]

(or arXiv:2504.01579v3 [quant-ph] for this version)

Text integral sub licența deschisă a publicației · 115 cuvinte

Citește pe arXiv ↗Întreabă despre acest articol