Robust universal quantum processors in spin systems via Walsh pulse sequences
Matteo VottoJohannes ZeiherBeno\^it Vermersch
Matteo VottoJohannes ZeiherBeno\^it Vermersch
Nov 2023
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摘要原文
We propose a protocol to realize quantum simulation and computation in spin systems with long-range interactions. Our approach relies on the local addressing of single spins with external fields parametrized by Walsh functions. This enables a mapping from a class of target Hamiltonians, defined by the graph structure of their interactions, to pulse sequences. We then obtain a recipe to implement arbitrary two-body Hamiltonians and universal quantum circuits. Performance guarantees are provided in terms of bounds on Trotter errors and total number of pulses, and robustness to experimental imperfections. We demonstrate and numerically benchmark our protocol with examples from the dynamical of spin models, quantum error correction and quantum optimization algorithms.
