Thermal Processes and State Achievability

Abstract

A complete characterization of the set of states that can be achieved through Thermal Processes (TP) is given by describing all vertices, edges and facets of the allowed set of states in the language of thermomajorization curves. TPs are linked to transportation matrices, which leads to the existance of extremal TPs that are not required in implemenation of any transition allowed by TPs, for every dimension $d\ge 4$ of the state space. A property of the associated graphs, biplanarity, which differentiates between these extremal TPs and the necessary ones, is identified.

arXiv comment12 pages, 8 figures

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• Entanglement generation from athermality
• Reachability in Controlled Markovian Quantum Systems: An Operator-Theoretic Approach
• The Thermomajorization Polytope and Its Degeneracies
• Almost All Quantum Channels Are Diagonalizable
• Thermodynamic state convertibility is determined by qubit cooling and heating
• Universality and classification of elementary thermal operations