Gupta Sabhyata, Javanmard Younes, Osborne Tobias J, Santos Luis
Institut für Theoretische Physik, Leibniz Universität Hannover, Appelstr. 2, 30167, Hannover, Germany.
PASQAL, 7 rue Léonard de Vinci, 91300, Massy, France.
Sci Rep. 2024 Nov 26;14(1):29276. doi: 10.1038/s41598-024-79480-2.
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.
我们提出了一种量子-经典算法，用于研究NISQ设备上的Rohksar-Kivelson格子阶梯的动力学。我们表明，利用规范不变性、附加对称性以及与阶梯几何结构中格子如何阻止环交换相关的一个关键特性，复杂度大大降低。这使得能够用少量量子比特对相当大的格子阶梯进行高效模拟，非常适合当前NISQ设备的能力。我们通过在IBM-Q机器上使用缩放量子门对多达8个格子的阶梯进行模拟来说明该过程。
