Efficient protocol for solving combinatorial graph problems on neutral-atom quantum processors

Coelho, Wesley da Silva; D'Arcangelo, M. E. M.; Henry, Louis-Paul

doi:10.48550/arxiv.2207.13030

Cited by 1 publication

(2 citation statements)

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“…In the numerical implementation we have used out-of-the-box optimizers with limitations for the numerical task at hand. Other possibilities include the use of an interpolated waveform for each set of parameters and shaping the pulse using bayesian optimization routines as explored in [38] for the study of combinatorial graph problems. Note that experimentally, one could clone several times the atom layout in spatially separated regions of the register (at least for a small number of qubits), multiplying the obtained number of bitstrings.…”

Section: Discussionmentioning

confidence: 99%

“…terms with 3 or more Z operators) and different interpretations of how the coefficients 2. A broader series of techniques for embedding the problem information into the atom register has been considered in [37,38] constitute a register matrix. A different resource Hamiltonian, such as one with XY interactions, would imply a different choice of subset.…”

Section: Atom Register and Initial Statementioning

confidence: 99%

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A blueprint for a Digital-Analog Variational Quantum Eigensolver using Rydberg atom arrays

Antoine¹,

Grijalva²,

Henriet³

et al. 2023

Preprint

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We address the task of estimating the ground-state energy of Hamiltonians coming from chemistry. We study numerically the behavior of a digital-analog variational quantum eigensolver for the H2, LiH and BeH2 molecules, and we observe that one can estimate the energy to a few percent points of error leveraging on learning the atom register positions with respect to selected features of the molecular Hamiltonian and then an iterative pulse shaping optimization, where each step performs a derandomization energy estimation.

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Section: Discussionmentioning

confidence: 99%

Section: Atom Register and Initial Statementioning

confidence: 99%