Resource theories with completely passive states and passive states as free states

TL;DR

This paper develops quantum resource theories based on completely passive and passive states as free states, exploring how free operations influence extractable work and the role of temperature in these frameworks.

Contribution

It introduces new resource theories with free states as passive states and analyzes the impact of free operations and temperature on work extraction.

Findings

Free operations act on passive states in a way influenced by temperature.

Maximum work extractable is a monotone in the proposed resource theories.

The role of temperature is pivotal in defining free operations and states.

Abstract

Work extractable from quantum system can be viewed as a resource to perform some tasks. Here, we try to related the work extractable to some resource theory. To do this, we consider completely passive states and passive states as free states and we formulate resource theories where the maximum work extractable is a monotone, by identifying the free operations. In particular, we study how the free operations act on the free states, showing how a sort of temperature plays a pivotal role in these resource theories.