Combinatorial optimization by simulating adiabatic bifurcations in nonlinear Hamiltonian systems

H Goto, K Tatsumura, AR Dixon - Science advances, 2019 - science.org
Combinatorial optimization problems are ubiquitous but difficult to solve. Hardware devices
for these problems have recently been developed by various approaches, including …

Floquet-engineering counterdiabatic protocols in quantum many-body systems

PW Claeys, M Pandey, D Sels, A Polkovnikov - Physical review letters, 2019 - APS
Counterdiabatic (CD) driving presents a way of generating adiabatic dynamics at an
arbitrary pace, where excitations due to nonadiabaticity are exactly compensated by adding …

Shortcuts to adiabaticity: theoretical framework, relations between different methods, and versatile approximations

T Hatomura - Journal of Physics B: Atomic, Molecular and Optical …, 2024 - iopscience.iop.org
Shortcuts to adiabaticity guide given systems to final destinations of adiabatic control via fast
tracks. Various methods have been proposed as shortcuts to adiabaticity. The basic theory …

Hamiltonian engineering for adiabatic quantum computation: Lessons from shortcuts to adiabaticity

K Takahashi - Journal of the Physical Society of Japan, 2019 - journals.jps.jp
We discuss applications of shortcuts to adiabaticity (STA) to adiabatic quantum computation.
After reviewing the fundamental properties and the present status of STA from the author's …

Controlling and exploring quantum systems by algebraic expression of adiabatic gauge potential

T Hatomura, K Takahashi - Physical Review A, 2021 - APS
Adiabatic gauge potential is the origin of nonadiabatic transitions. In counterdiabatic driving,
which is a method of shortcuts to adiabaticity, adiabatic gauge potential can be used to …

Rapid counter-diabatic sweeps in lattice gauge adiabatic quantum computing

A Hartmann, W Lechner - New Journal of Physics, 2019 - iopscience.iop.org
We present a coherent counter-diabatic quantum protocol to prepare ground states in the
lattice gauge map** of all-to-all Ising models (LHZ) with considerably enhanced final …

Implementation of a hybrid classical-quantum annealing algorithm for logistic network design

Y Ding, X Chen, L Lamata, E Solano, M Sanz - SN Computer Science, 2021 - Springer
The logistic network design is an abstract optimization problem that, under the assumption of
minimal cost, seeks the optimal configuration of the supply chain's infrastructures and …

Counterdiabatic reverse annealing

G Passarelli, P Lucignano - Physical Review A, 2023 - APS
We present counterdiabatic reverse annealing, a quantum annealing protocol that extends
the range of application of reverse annealing to the previously inaccessible short-time …

Quadratic unconstrained binary optimization via quantum-inspired annealing

J Bowles, A Dauphin, P Huembeli, J Martinez… - Physical Review Applied, 2022 - APS
We present a classical algorithm to find approximate solutions to instances of quadratic
unconstrained binary optimization. The algorithm can be seen as an analog of quantum …

General bound on the performance of counter-diabatic driving acting on dissipative spin systems

K Funo, N Lambert, F Nori - Physical Review Letters, 2021 - APS
Counter-diabatic driving (CD) is a technique in quantum control theory designed to
counteract nonadiabatic excitations and guide the system to follow its instantaneous energy …