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arXiv · 2104.10136

Prospects for Simulating a Qudit Based Model of (1+1)d Scalar QED

Erik Gustafson
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Abstract

We present a gauge invariant digitization of $(1+1)$d scalar quantum electrodynamics for an arbitrary spin truncation for qudit-based quantum computers. We provide a construction of the Trotter operator in terms of a universal qudit-gate set. The cost savings of using a qutrit based spin-1 encoding versus a qubit encoding are illustrated. We show that a simple initial state could be simulated on current qutrit based hardware using noisy simulations for two different native gate set.

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Erik Gustafson. 2021-04-20. Prospects for Simulating a Qudit Based Model of (1+1)d Scalar QED. https://doi.org/10.1103/physrevd.103.114505

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