Projects per year
Abstract / Description of output
Adiabatic quantum computing is a universal model for quantum computing whose implementation using a gatebased quantum computer requires depths that are unreachable in the early faulttolerant era. To mitigate the limitations of nearterm devices, a number of hybrid approaches have been pursued in which a parameterized quantum circuit prepares and measures quantum states and a classical optimization algorithm minimizes an objective function that encompasses the solution to the problem of interest. In this work, we propose a different approach starting by analyzing how a small perturbation of a Hamiltonian affects the parameters that minimize the energy within a family of parameterized quantum states. We derive a set of equations that allow us to compute the new minimum by solving a constrained linear system of equations that is obtained from measuring a series of observables on the unperturbed system. We then propose a discrete version of adiabatic quantum computing that can be implemented in a nearterm device while at the same time is insensitive to the initialization of the parameters and to other limitations hindered in the optimization part of variational quantum algorithms. We compare our proposed algorithm with the Variational Quantum Eigensolver on two classical optimization problems, namely MaxCut and Number Partitioning, and on a quantumspin configuration problem, the TransverseField Ising Chain model, and confirm that our approach demonstrates superior performance.
Original language  English 

Journal  Quantum Science and Technology 
DOIs  
Publication status  Accepted/In press  27 Sept 2024 
Fingerprint
Dive into the research topics of 'Simulating adiabatic quantum computing with parameterized quantum circuits'. Together they form a unique fingerprint.
Quantum Software for a Digital Universe
Science and Technology Facilities Council
1/04/22 → 12/03/25
Project: Research

EPSRC Hub in Quantum Computing and Simulation
Kashefi, E., Arapinis, M., Heunen, C. & Wallden, P.
Engineering and Physical Sciences Research Council
1/12/19 → 30/11/24
Project: Research