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This paper reviews recent advances in continuous-time quantum walks (CTQW) and their application to transport in various systems. The introduction gives a brief survey of the historical background of CTQW. After a short outline of the…

Quantum Physics · Physics 2015-05-27 Oliver Muelken , Alexander Blumen

Response functions are a fundamental aspect of physics; they represent the link between experimental observations and the underlying quantum many-body state. However, this link is often under-appreciated, as the Lehmann formalism for…

Quantum Physics · Physics 2023-02-22 Efekan Kökcü , Heba A. Labib , J. K. Freericks , Alexander F. Kemper

Refection Positivity is a central theme at the crossroads of Lie group representations, euclidean and abstract harmonic analysis, constructive quantum field theory, and stochastic processes. This book provides the first presentation of the…

Representation Theory · Mathematics 2018-02-27 Karl-Hermann Neeb , Gestur Olafsson

I briefly review several important formal theory developments in quantum field theory and string theory that were reported at ICHEP conferences in past decades, and explain how they underlie a new research area referred to as physical or…

High Energy Physics - Theory · Physics 2022-09-21 Piotr Sułkowski

Inspired by the work of Feynman, Deutsch, We formally propose the theory of physical computability and accordingly, the physical complexity theory. To achieve this, a framework that can evaluate almost all forms of computation using various…

Computational Physics · Physics 2011-12-06 Huimin Zheng , HaiXing Hu , Nan Wu , Fangmin Song

We provide an informal up-to-date review of the tensor track approach to quantum gravity. In a long introduction we describe in simple terms the motivations for this approach. Then the many recent advances are summarized, with emphasis on…

High Energy Physics - Theory · Physics 2016-01-20 Vincent Rivasseau

This text, written as dissertation within the M.Sc. course in particle theory at the Centre for Particle Theory, University of Durham, during the academic year 1993/94, reviews two articles by D.Gross and by D.Gross and W.Taylor which…

High Energy Physics - Theory · Physics 2016-08-15 Søren Köster

Book chapter in "Thermodynamics in the quantum regime - Recent Progress and Outlook" -- This chapter is a survey of the published literature on quantum batteries -- ensembles of non-degenerate quantum systems on which energy can be…

Quantum Physics · Physics 2018-05-16 Francesco Campaioli , Felix A. Pollock , Sai Vinjanampathy

This is a collection of statements gathered on the occasion of the Quantum Physics of Nature meeting in Vienna.

QmeQ is an open-source Python package for numerical modeling of transport through quantum dot devices with strong electron-electron interactions using various approximate master equation approaches. The package provides a framework for…

Mesoscale and Nanoscale Physics · Physics 2017-10-17 Gediminas Kiršanskas , Jonas Nyvold Pedersen , Olov Karlström , Martin Leijnse , Andreas Wacker

We review briefly the quantum fidelity approach to quantum phase transitions in a pedagogical manner. We try to relate all established but scattered results on the leading term of the fidelity into a systematic theoretical framework, which…

Quantum Physics · Physics 2010-12-14 Shi-Jian Gu

A review of progress in NMR quantum computing and a brief survey of the literature

Quantum Physics · Physics 2011-07-20 Jonathan A. Jones

This is a series of lecture notes explaining topos theory and its application in physics.

Mathematical Physics · Physics 2012-07-10 Cecilia Flori

These lecture notes give an overview of recent results in geometric Langlands correspondence which may yield applications to quantum field theory. We start with a motivated introduction to the Langlands Program, including its geometric…

High Energy Physics - Theory · Physics 2007-05-23 Edward Frenkel

Recent years have seen noteworthy progress in the mathematical formulation of quantum field theory and perturbative string theory. We give a brief survey of these developments. It serves as an introduction to the more detailed collection…

Mathematical Physics · Physics 2012-01-09 Hisham Sati , Urs Schreiber

The lecture notes cover the basics of quantum computing methods for quantum field theory applications. No detailed knowledge of either quantum computing or quantum field theory is assumed and we have attempted to keep the material at a…

Quantum Physics · Physics 2025-12-03 Aninda Sinha , Ujjwal Basumatary

On Tuesday 26th November 2024, four discussants participated in a moderated virtual panel titled Future of Quantum Computing as one session of the 8th International Conference on Quantum Techniques in Machine Learning hosted by the…

Quantum Physics · Physics 2026-01-21 Scott Aaronson , Andrew M. Childs , Edward Farhi , Aram W. Harrow , Barry C. Sanders

Please goto the "Note Added" part of v6, quant-ph/0501143

Quantum Physics · Physics 2007-05-23 Xiang-Bin Wang

The unification of quantum mechanics and general relativity has long been elusive. Only recently have empirical predictions of various possible theories of quantum gravity been put to test, where a clear signal of quantum properties of…

General Relativity and Quantum Cosmology · Physics 2025-01-22 R. Alves Batista , G. Amelino-Camelia , D. Boncioli , J. M. Carmona , A. di Matteo , G. Gubitosi , I. Lobo , N. E. Mavromatos , C. Pfeifer , D. Rubiera-Garcia , E. N. Saridakis , T. Terzić , E. C. Vagenas , P. Vargas Moniz , H. Abdalla , M. Adamo , A. Addazi , F. K. Anagnostopoulos , V. Antonelli , M. Asorey , A. Ballesteros , S. Basilakos , D. Benisty , M. Boettcher , J. Bolmont , A. Bonilla , P. Bosso , M. Bouhmadi-López , L. Burderi , A. Campoy-Ordaz , S. Caroff , S. Cerci , J. L. Cortes , V. D'Esposito , S. Das , M. de Cesare , M. Demirci , F. Di Lodovico , T. Di Salvo , J. M. Diego , G. Djordjevic , A. Domi , L. Ducobu , C. Escamilla-Rivera , G. Fabiano , D. Fernández-Silvestre , S. A. Franchino-Viñas , A. M. Frassino , D. Frattulillo , M. Gaug , L. Á. Gergely , E. I. Guendelman , D. Guetta , I. Gutierrez-Sagredo , P. He , S. Heefer , T. Jurić , T. Katori , J. Kowalski-Glikman , G. Lambiase , J. Levi Said , C. Li , H. Li , G. G. Luciano , B-Q Ma , A. Marciano , M. Martinez , A. Mazumdar , G. Menezes , F. Mercati , D. Minic , L. Miramonti , V. A. Mitsou , M. F. Mustamin , S. Navas , G. J. Olmo , D. Oriti , A. Övgün , R. C. Pantig , A. Parvizi , R. Pasechnik , V. Pasic , L. Petruzziello , A. Platania , S. M. M. Rasouli , S. Rastgoo , J. J. Relancio , F. Rescic , M. A. Reyes , G. Rosati , İ. Sakallı , F. Salamida , A. Sanna , D. Staicova , J. Strišković , D. Sunar Cerci , M. D. C. Torri , A. Vigliano , F. Wagner , J-C Wallet , A. Wojnar , V. Zarikas , J. Zhu , J. D. Zornoza

While the fluctuation theorem in classical systems has been thoroughly generalized under various feedback control setups, an intriguing situation in quantum systems, namely under continuous feedback, remains to be investigated. In this…

Statistical Mechanics · Physics 2022-05-11 Toshihiro Yada , Nobuyuki Yoshioka , Takahiro Sagawa