Quantum resource theories

E Chitambar, G Gour - Reviews of modern physics, 2019 - APS
Quantum resource theories (QRTs) offer a highly versatile and powerful framework for
studying different phenomena in quantum physics. From quantum entanglement to quantum …

Entropic uncertainty relations and their applications

PJ Coles, M Berta, M Tomamichel, S Wehner - Reviews of Modern Physics, 2017 - APS
Heisenberg's uncertainty principle forms a fundamental element of quantum mechanics.
Uncertainty relations in terms of entropies were initially proposed to deal with conceptual …

[BOOK][B] Quantum information theory

MM Wilde - 2013 - books.google.com
Finally, here is a modern, self-contained text on quantum information theory suitable for
graduate-level courses. Develo** the subject'from the ground up'it covers classical results …

Description of quantum coherence in thermodynamic processes requires constraints beyond free energy

M Lostaglio, D Jennings, T Rudolph - Nature communications, 2015 - nature.com
Recent studies have developed fundamental limitations on nanoscale thermodynamics, in
terms of a set of independent free energy relations. Here we show that free energy relations …

[BOOK][B] Quantum systems, channels, information: a mathematical introduction

AS Holevo - 2019 - books.google.com
Written by one of the founding fathers of Quantum Information, this book gives an accessible
(albeit mathematically rigorous), self-contained introduction to quantum information theory …

The second laws of quantum thermodynamics

F Brandao, M Horodecki, N Ng… - Proceedings of the …, 2015 - National Acad Sciences
The second law of thermodynamics places constraints on state transformations. It applies to
systems composed of many particles, however, we are seeing that one can formulate laws of …

On quantum Rényi entropies: A new generalization and some properties

M Müller-Lennert, F Dupuis, O Szehr, S Fehr… - Journal of …, 2013 - pubs.aip.org
The Rényi entropies constitute a family of information measures that generalizes the well-
known Shannon entropy, inheriting many of its properties. They appear in the form of …

Dynamical maps beyond Markovian regime

D Chruściński - Physics Reports, 2022 - Elsevier
Quantum dynamical maps provide suitable mathematical representation of quantum
evolutions. When representing quantum states by density operators, the evident …

Limitations of variational quantum algorithms: a quantum optimal transport approach

G De Palma, M Marvian, C Rouzé, DS França - PRX Quantum, 2023 - APS
The impressive progress in quantum hardware of the last years has raised the interest of the
quantum computing community in harvesting the computational power of such devices …

Semidefinite programming relaxations for quantum correlations

A Tavakoli, A Pozas-Kerstjens, P Brown… - Reviews of Modern Physics, 2024 - APS
Semidefinite programs are convex optimization problems involving a linear objective
function and a domain of positive-semidefinite matrices. Over the past two decades, they …