Simulating thermal qubits through thermofield dynamics

TL;DR

This paper presents a didactic method to simulate thermal qubits using Thermofield Dynamics, enabling better understanding of temperature effects on quantum protocols and aiding education in quantum computing.

Contribution

It introduces a practical approach to model thermal qubits via TFD in quantum computing, linking the Bloch sphere to Bogoliubov transformations for educational purposes.

Findings

Bloch sphere can be expressed using Bogoliubov transformation

Thermofield dynamics provides a practical framework for thermal qubit simulation

Educational tool for understanding temperature effects in quantum computing

Abstract

Quantum computing has attracted the attention of the scientific community in the past few decades. The development of quantum computers promises one path toward safer and faster ways to treat, extract, and transfer information. However, despite the significant advantages of quantum computing, the development of quantum devices operating at room temperature has been compromised by the thermal decoherence process. In addition, in most undergraduate and graduate quantum mechanics courses, the study of thermofield dynamics is usually neglected. In this scenario, this work explores a didactic approach to simulate thermal qubit systems through Thermofield Dynamics (TFD), applied in a quantum computing setup. The results show that the Bloch sphere representation for a qubit can be written in terms of the Bogoliubov transformation, which allows a practical construction for the thermal qubits in a quantum computing setup. Therefore, this work introduces thermofield dynamics through quantum computing to teachers and curious students interested in teaching and learning this important field of studying the temperature impacts on quantum protocols using the TFD technique.