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arXiv · 2401.16326

Simulation of a Rohksar-Kivelson ladder on a NISQ device

Sabhyata Gupta·Younes Javanmard·Tobias J. Osborne·Luis Santos
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Abstract

We present a quantum-classical algorithm to study the dynamics of the Rohksar-Kivelson plaquette ladder on NISQ devices. We show that complexity is largely reduced using gauge invariance, additional symmetries, and a crucial property associated to how plaquettes are blocked against ring-exchange in the ladder geometry. This allows for an efficient simulation of sizable plaquette ladders with a small number of qubits, well suited for the capabilities of present NISQ devices. We illustrate the procedure for ladders with simulation of up to $8$ plaquettes in an IBM-Q machine, employing scaled quantum gates.

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Sabhyata Gupta, Younes Javanmard, Tobias J. Osborne, Luis Santos. 2024-01-29. Simulation of a Rohksar-Kivelson ladder on a NISQ device. https://arxiv.org/abs/2401.16326

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