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- W4281749076 abstract "Adiabatic quantum computing is a universal model for quantum computing and as such, standard error correction methods require overhead that makes their application prohibitively for near-term devices. To mitigate the limitations of near-term 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 linear system of equations obtained by measuring a series of observables at the unperturbed system. We then propose a discrete version of adiabatic quantum computing that can be implemented with quantum devices identical with those of variational quantum algorithms, while being insensitive to the parameter initialization and other limitations that the optimization part of variational quantum algorithms bring. Finally, we test our algorithm, in an emulated environment, solving a classical optimization problem and a quantum-spin problem. We observe that our method is able to achieve near-optimal solutions on both the Max-Cut for 3-regular graphs as well in random Transverse-Ising Chain models." @default.
- W4281749076 created "2022-06-13" @default.
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- W4281749076 date "2022-06-09" @default.
- W4281749076 modified "2023-10-17" @default.
- W4281749076 title "Adiabatic quantum computing with parameterized quantum circuits" @default.
- W4281749076 doi "https://doi.org/10.48550/arxiv.2206.04373" @default.
- W4281749076 hasPublicationYear "2022" @default.
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