No-cloning theorem in thermofield dynamics

TL;DR

This paper explores the connection between the no-cloning theorem and the thermofield dynamics formalism, analyzing implications for mixed states, entropy, and thermofield vacua in quantum systems.

Contribution

It establishes a theoretical link between the no-cloning theorem and the doubling procedure in thermofield dynamics, extending the theorem's application to thermofield states.

Findings

Clarifies how no-cloning constrains thermofield state manipulations

Analyzes implications for von Neumann entropy in TFD

Discusses effects on thermofield vacuum properties

Abstract

We discuss the relation between the no-cloning theorem from quantum information and the doubling procedure used in the formalism of thermofield dynamics (TFD). We also discuss how to apply the no-cloning theorem in the context of thermofield states defined in TFD. Consequences associated to mixed states, von Neumann entropy and thermofield vacuum are also addressed.