Long-range interacting quantum systems

N Defenu, T Donner, T Macrì, G Pagano, S Ruffo… - Reviews of Modern …, 2023 - APS
In this review recent investigations are summarized of many-body quantum systems with
long-range interactions, which are currently realized in Rydberg atom arrays, dipolar …

Adiabatic quantum computation

T Albash, DA Lidar - Reviews of Modern Physics, 2018 - APS
Adiabatic quantum computing (AQC) started as an approach to solving optimization
problems and has evolved into an important universal alternative to the standard circuit …

[KNJIGA][B] Foundations of quantum theory: From classical concepts to operator algebras

K Landsman - 2017 - library.oapen.org
'Der Kopf, so gesehen, hat mit dem Kopf, so gesehen, auch nicht die leiseste Ahnlichkeit (...)
Der Aspektwechsel.“Du würdest doch sagen, dass sich das Bild jetzt gänzlich geändert hat!” …

[KNJIGA][B] Quantum spin glasses, annealing and computation

S Tanaka, R Tamura, BK Chakrabarti - 2017 - books.google.com
Quantum annealing is a new-generation tool of information technology, which helps in
solving combinatorial optimization problems with high precision, based on the concepts of …

The quantum adiabatic algorithm applied to random optimization problems: The quantum spin glass perspective

V Bapst, L Foini, F Krzakala, G Semerjian, F Zamponi - Physics Reports, 2013 - Elsevier
Among various algorithms designed to exploit the specific properties of quantum computers
with respect to classical ones, the quantum adiabatic algorithm is a versatile proposition to …

Energy gaps in quantum first-order mean-field–like transitions: The problems that quantum annealing cannot solve

T Jörg, F Krzakala, J Kurchan, AC Maggs… - Europhysics …, 2010 - iopscience.iop.org
We study first-order quantum phase transitions in models where the mean-field treatment is
exact, and in particular the exponentially fast closure of the energy gap with the system size …

On quantum mean-field models and their quantum annealing

V Bapst, G Semerjian - Journal of Statistical Mechanics: Theory …, 2012 - iopscience.iop.org
This paper deals with fully connected mean-field models of quantum spins with p-body
ferromagnetic interactions and a transverse field. For p= 2 this corresponds to the quantum …

Symmetry shapes thermodynamics of macroscopic quantum systems

V Cavina, A Soret, T Aslyamov, K Ptaszyński… - Physical Review Letters, 2024 - APS
We derive a systematic approach to the thermodynamics of quantum systems based on the
underlying symmetry groups. We first show that the entropy of a system can be described in …

Path-integral representation for quantum spin models: Application to the quantum cavity method and Monte Carlo simulations

F Krzakala, A Rosso, G Semerjian, F Zamponi - Physical Review B …, 2008 - APS
The cavity method is a well-established technique for solving classical spin models on
sparse random graphs (mean-field models with finite connectivity). Laumann [Phys. Rev. B …

Mean field analysis of quantum annealing correction

S Matsuura, H Nishimori, T Albash, DA Lidar - Physical review letters, 2016 - APS
Quantum annealing correction (QAC) is a method that combines encoding with energy
penalties and decoding to suppress and correct errors that degrade the performance of …