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

• URL: http://arxiv.org/abs/2104.10136v2
• Date: Mon, 26 Apr 2021 20:41:54 GMT
• Title: Prospects for Simulating a Qudit Based Model of (1+1)d Scalar QED
• Authors: Erik Gustafson
• Abstract summary: We provide a construction of the Trotter operator in terms of a universal qudit-gate set. We show that a simple initial state could be simulated on current qutrit based hardware using noisy simulations for two different native gate set.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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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