Influence of Noninertial Dynamics on Static Quantum Resource Theories

TL;DR

This paper explores how noninertial motion, such as acceleration, influences static quantum resource theories by modeling effects like the Unruh effect as quantum channels, affecting states, operations, and resource measures.

Contribution

It establishes the equivalence between noninertial effects and CPTP maps, analyzing their impact on the core elements of quantum resource theories.

Findings

Noninertial effects can be modeled as CPTP maps.

The Unruh effect corresponds to a bosonic amplifier channel.

General statements about resource theory components under noninertial motion are derived.

Abstract

The effect of noninertial dynamics on static quantum resource theories is investigated. To this end, we first show the equivalence between noninertial effects and a completely positive, trace-preserving (CPTP) map. In this formulation, the Unruh effect is equivalent to a bosonic amplifier channel. The effect of this map on a generic quantum resource is investigated by studying the role of the CPTP map on the three core ingredients of a resource theory, namely, the free states, the free operations and the resource quantifiers. We show several general statements can be made about these three components of a resource theory in the presence of noninertial motion.