Irreversibility and entropy production in Gaussian quantum systems

• Grant number: 17/06323-7
• Support Opportunities: Scholarships in Brazil - Master
• Effective date (Start): August 01, 2017
• Effective date (End): May 01, 2019
• Field of knowledge: Physical Sciences and Mathematics - Physics - Condensed Matter Physics
• Acordo de Cooperação: Coordination of Improvement of Higher Education Personnel (CAPES)
• Principal Investigator: Gabriel Teixeira Landi
• Grantee: William Tiago Batista Malouf
• Host Institution: Instituto de Física (IF). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated scholarship(s): 18/08211-4 - Quantum correlations and irreversibility, BE.EP.MS

Abstract

The concept of irreversibility is among the most important in thermodynamics. Even though they have been developed initially for macroscopic systems, there is currently a great effort from the scientific community in extending these ideas to micro and mesoscopic systems. However, despite recent advances, there are still several open questions. The main problem to be studied in this project refers to measures of irreversibility in quantum systems, for which there is currently no unified formalism. Quantifying irreversibility in a quantum process is a relevant problem for several applications, in particular in quantum computing, since such measures are directly related to the efficiency of a process. We propose to study this problem, focusing on the specific case of Gaussian quantum states. Such states appeared recently in the literature as an alternative to quantum computation, since they have a series of interesting properties and are easier to manipulate analytically. The proposal in this project, which is a direct continuation of the research being developed in the group of Prof. Gabriel T. Landi, will be divided in two parts. The first consists in characterizing irreversibility in general Gaussian maps, Markovian or not. Then, in the send part, we shall try to relate these measures with concepts of interest in quantum information, such as entanglement, discord, loss of coherent and loss of information (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

MALOUF, WILLIAM T. B.; GOOLD, JOHN; ADESSO, GERARDO; LANDI, GABRIEL T.. Analysis of the conditional mutual information in ballistic and diffusive non-equilibrium steady-states. Journal of Physics A-Mathematical and Theoretical, v. 53, n. 30, JUL 31 2020. (17/06323-7, 17/07973-5, 16/08721-7, 18/08211-4)

MALOUF, WILLIAM T. B.; SANTOS, JADER P.; CORREA, LUIS A.; PATERNOSTRO, MAURO; LANDI, GABRIEL T.. Wigner entropy production and heat transport in linear quantum lattices. Physical Review A, v. 99, n. 5, MAY 6 2019. (17/50304-7, 17/06323-7, 16/08721-7, 18/08211-4)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

MALOUF, William Tiago Batista. Thermodynamics and information in linear quantum lattices. 2019. Master's Dissertation - Universidade de São Paulo (USP). Instituto de Física (IF/SBI) São Paulo.