Strictly incoherent operations for one-qubit systems

TL;DR

This paper provides a structural characterization of bistochastic strictly incoherent operations in one-qubit systems, aiding the resource theory of quantum coherence and applications like quantum thermal averages.

Contribution

It offers a new structural description of bistochastic SIOs for one-qubit systems using Pauli and phase operators, advancing the understanding of quantum coherence resources.

Findings

Structural characterization of bistochastic SIOs in one-qubit systems.

Application framework for quantum thermal averages reconstruction.

Insights into coherence manipulation techniques.

Abstract

Strictly incoherent operations (SIO) proposed in [Phys. Rev. Lett. 116, 120404 (2016)] are promising to be a good candidate of free operations in the resource theory of quantum coherence, setting against the central role of local operations and classical communication in the resource theory of quantum entanglement. An important open problem is an efficient description for strictly incoherent operations in physical region. Such a description plays key role for axiomatic study of resource theory of quantum coherence. We are aimed to give a structural characterization of bistochastic SIOs in terms of Pauli operators and the Phase operator for one-qubit systems. Some applications of our results are also sketched in reconstructing quantum thermal averages via a quantum computer and in coherence manipulation.