332 citations · 1.9k across the 33 of their papers we have counts for
33 papers
Scalable, self-verifying variational quantum eigensolver using adiabatic warm starts
Bojan Žunkovič, Marco Ballarin, Lewis Wright +1
We study an adiabatic variant of the variational quantum eigensolver (VQE) in which VQE is performed iteratively for a sequence of Hamiltonians along an adiabatic path. We derive t…
Variational matrix product states for combinatorial optimization
Guillermo Preisser, Conor Mc Keever, Michael Lubasch
To compute approximate solutions for combinatorial optimization problems, we describe variational methods based on the product state (PS) and matrix product state (MPS) ansätze. We…
Efficient quantum state preparation of multivariate functions using tensor networks
Marco Ballarin, Juan José García-Ripoll, David Hayes +1
For the preparation of high-dimensional functions on quantum computers, we introduce tensor network algorithms that are efficient with regard to dimensionality, optimize circuits c…
Quantum circuits for partial differential equations in Fourier space
Michael Lubasch, Yuta Kikuchi, Lewis Wright +1
For the solution of partial differential equations (PDEs), we show that the quantum Fourier transform (QFT) can enable the design of quantum circuits that are particularly simple,…
Digital quantum magnetism on a trapped-ion quantum computer
Reza Haghshenas, Eli Chertkov, Michael Mills +56
Digital quantum matter -- realized when discrete quantum gates approximate continuous time evolution -- is susceptible to heating into chaotic, structureless states. If digitizatio…
Filter-enhanced adiabatic quantum computing on a digital quantum processor
Erenay Karacan, Conor Mc Keever, Michael Foss-Feig +2
Eigenstate filters underpin near-optimal quantum algorithms for ground state preparation. Their realization on current quantum computers, however, poses a challenge as the filters…