Covariant versions of Margolus-Levitin Theorem

TL;DR

This paper develops covariant versions of the Margolus-Levitin Theorem within special and general relativity, linking quantum evolution limits to entropy, information flow, and computational bounds in spacetime.

Contribution

It introduces covariant formulations of the Margolus-Levitin Theorem applicable in relativistic contexts, connecting quantum limits with entropy and information bounds.

Findings

Covariant Margolus-Levitin bounds in special relativity

Extension to general relativity contexts

Discussion of entropy and information flow relations

Abstract

The Margolus-Levitin Theorem is a limitation on the minimal evolving time of a quantum system from its initial state to its orthogonal state. It also supplies a bound on the maximal operations or events can occur within a volume of spacetime. We compare Margolus-Levitin Theorem with other form of limitation on minimal evolving time, and present covariant versions of Margolus-Levitin Theorem in special and general relativity respectively. The relation among entropy bound, maximum information flow and computational limit are discussed, by applying the covariant versions of Margolus-Levitin Theorem.