Verifying Random Quantum Circuits with Arbitrary Geometry Using Tensor Network States Algorithm

• URL: http://arxiv.org/abs/2011.02621v1
• Date: Thu, 5 Nov 2020 02:20:56 GMT
• Title: Verifying Random Quantum Circuits with Arbitrary Geometry Using Tensor Network States Algorithm
• Authors: Chu Guo, Youwei Zhao, He-Liang Huang
• Abstract summary: Algorithm is up to $2$ orders of magnitudes faster than Sch$ddottexto$dinger-Feynman algorithm. We simulate larger random quantum circuits up to $104$ qubits, showing that this algorithm is an ideal tool to verify relatively shallow quantum circuits on near-term quantum computers.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The ability to efficiently simulate random quantum circuits using a classical computer is increasingly important for developing Noisy Intermediate-Scale Quantum devices. Here we present a tensor network states based algorithm specifically designed to compute amplitudes for random quantum circuits with arbitrary geometry. Singular value decomposition based compression together with a two-sided circuit evolution algorithm are used to further compress the resulting tensor network. To further accelerate the simulation, we also propose a heuristic algorithm to compute the optimal tensor contraction path. We demonstrate that our algorithm is up to $2$ orders of magnitudes faster than the Sch$\ddot{\text{o}}$dinger-Feynman algorithm for verifying random quantum circuits on the $53$-qubit Sycamore processor, with circuit depths below $12$. We also simulate larger random quantum circuits up to $104$ qubits, showing that this algorithm is an ideal tool to verify relatively shallow quantum circuits on near-term quantum computers.

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