Adiabatic spectroscopy and a variational quantum adiabatic algorithm

BF Schiffer, J Tura, JI Cirac - PRX Quantum, 2022 - APS
Preparation of the ground state of a Hamiltonian is a problem of great significance in
physics, with deep implications in the field of combinatorial optimization. The adiabatic …

Bayesian phase difference estimation: a general quantum algorithm for the direct calculation of energy gaps

K Sugisaki, C Sakai, K Toyota, K Sato… - Physical Chemistry …, 2021 - pubs.rsc.org
Quantum computers can perform full configuration interaction (full-CI) calculations by
utilising the quantum phase estimation (QPE) algorithms including Bayesian phase …

Projective measurement-based quantum phase difference estimation algorithm for the direct computation of eigenenergy differences on a quantum computer

K Sugisaki - Journal of Chemical Theory and Computation, 2023 - ACS Publications
Quantum computers are capable of calculating the energy difference of two electronic states
using the quantum phase difference estimation (QPDE) algorithm. The Bayesian inference …

Computing molecular excited states on a D-Wave quantum annealer

A Teplukhin, BK Kendrick, SM Mniszewski, Y Zhang… - Scientific reports, 2021 - nature.com
The possibility of using quantum computers for electronic structure calculations has opened
up a promising avenue for computational chemistry. Towards this direction, numerous …

Probing spectral features of quantum many-body systems with quantum simulators

J Sun, L Vilchez-Estevez, V Vedral… - Nature …, 2025 - nature.com
The efficient probing of spectral features is important for characterising and understanding
the structure and dynamics of quantum materials. In this work, we establish a framework for …

Deep recurrent networks predicting the gap evolution in adiabatic quantum computing

N Mohseni, C Navarrete-Benlloch, T Byrnes… - Quantum, 2023 - quantum-journal.org
In adiabatic quantum computing finding the dependence of the gap of the Hamiltonian as a
function of the parameter varied during the adiabatic sweep is crucial in order to optimize the …

Quantum annealing showing an exponentially small success probability despite a constant energy gap with polynomial energy

H Hayasaka, T Imoto, Y Matsuzaki, S Kawabata - Physical Review A, 2024 - APS
Quantum annealing (QA) is a method for solving combinatorial optimization problems. We
can estimate the computational time for QA using what is referred to as the adiabatic …

Quantum algorithm for the direct calculations of vertical ionization energies

K Sugisaki, K Toyota, K Sato, D Shiomi… - The Journal of Physical …, 2021 - ACS Publications
Recently, a quantum algorithm that is capable of directly calculating the energy gap between
two electronic states having different spin quantum numbers without inspecting the total …

Quantum annealing with twisted fields

T Imoto, Y Seki, Y Matsuzaki… - New Journal of …, 2022 - iopscience.iop.org
Quantum annealing (QA) is a promising method for solving combinational optimization
problems and performing quantum chemical calculations. The main sources of errors in QA …

Resource-efficient quantum-classical hybrid algorithm for energy gap evaluation

Y Yang, Y Li, X Xu, X Yuan - Physical Review A, 2024 - APS
Estimating the eigenvalue or energy gap of a Hamiltonian H is vital for studying quantum
many-body systems. Particularly, many of the problems in quantum chemistry, condensed …