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Simulation of a Rohksar–Kivelson ladder on a NISQ device

  • Sabhyata Gupta,
  • Younes Javanmard,
  • Tobias J. Osborne,
  • Luis Santos

摘要

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.