On quantum speedups for nonconvex optimization via quantum tunneling walks

Y Liu, WJ Su, T Li - Quantum, 2023 - quantum-journal.org
Classical algorithms are often not effective for solving nonconvex optimization problems
where local minima are separated by high barriers. In this paper, we explore possible …

Quantum phase slips in Josephson junction rings

G Rastelli, IM Pop, FWJ Hekking - Physical Review B—Condensed Matter and …, 2013 - APS
We study quantum phase-slip (QPS) processes in a superconducting ring containing N
Josephson junctions and threaded by an external static magnetic flux Φ B. In such a system …

Linear and nonlinear optical properties in an asymmetric double quantum well under intense laser field: Effects of applied electric and magnetic fields

U Yesilgul, EB Al, JC Martínez-Orozco, RL Restrepo… - Optical Materials, 2016 - Elsevier
In the present study, the effects of electric and magnetic fields on the linear and third-order
nonlinear optical absorption coefficients and relative change of the refractive index in …

Effective Hamiltonians for interacting superconducting qubits: local basis reduction and the Schrieffer–Wolff transformation

G Consani, PA Warburton - New Journal of Physics, 2020 - iopscience.iop.org
An open question in designing superconducting quantum circuits is how best to reduce the
full circuit Hamiltonian which describes their dynamics to an effective two-level qubit …

Quantum confinement in an asymmetric double‐well potential through energy analysis and information entropic measure

N Mukherjee, AK Roy - Annalen der Physik, 2016 - Wiley Online Library
Localization of a particle in the wells of an asymmetric double‐well (DW) potential is
investigated here. Information entropy‐based uncertainty measures, such as Shannon …

Analytic description of inversion vibrational mode for ammonia molecule

AE Sitnitsky - Vibrational Spectroscopy, 2017 - Elsevier
The one-dimensional Schrödinger equation with symmetric trigonometric double-well
potential is exactly solved via angular prolate spheroidal function. Although it is inferior …

Analytic calculation of ground state splitting in symmetric double well potential

AE Sitnitsky - Computational and Theoretical Chemistry, 2018 - Elsevier
The exact solution of the one-dimensional Schrödinger equation with symmetric
trigonometric double-well potential (DWP) is obtained via angular oblate spheroidal …

Quantum speedup at zero temperature via coherent catalysis

GA Durkin - Physical Review A, 2019 - APS
It is known that secondary nonstoquastic drivers may offer speedups or catalysis in some
models of adiabatic quantum computation accompanying the more typical transverse field …

Oscillatory states of quantum Kapitza pendulum

W He, CY Liu - Annals of Physics, 2023 - Elsevier
We study quantum mechanics problem described by the Schrödinger equation with Kapitza
pendulum potential, that is the asymmetric double-well potential on the circle. For the …

High-fidelity ac gate operations of a three-electron double quantum dot qubit

CH Wong - Physical Review B, 2016 - APS
Semiconductor quantum dots in silicon are promising qubits because of long spin
coherence times and their potential for scalability. However, such qubits with complete …