Parameterized quantum circuit for weight-adjustable quantum loop gas

• URL: http://arxiv.org/abs/2210.14662v1
• Date: Wed, 26 Oct 2022 12:27:51 GMT
• Title: Parameterized quantum circuit for weight-adjustable quantum loop gas
• Authors: Rong-Yang Sun, Tomonori Shirakawa and Seiji Yunoki
• Abstract summary: We propose a parameterized quantum circuit (PQC) with the same real-device-performable optimal structure to represent quantum loop gas states. We obtain the accurate quantum circuit representation for the toric code model in an external magnetic field with any field strength, where the system is not exactly solvable. The topological quantum phase transition in this system is further observed in the optimized circuits by measuring the magnetization and topological entanglement entropy.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Motivated by the recent success of realizing the topologically ordered ground state of the exactly solvable toric code model by a quantum circuit on the real quantum device [K. J. Satzinger {\it et al}., Science \textbf{374}, 1237 (2021)], here we propose a parameterized quantum circuit (PQC) with the same real-device-performable optimal structure to represent quantum loop gas states with adjustably weighted loop configurations. Combining such a PQC with the variational quantum eigensolver, we obtain the accurate quantum circuit representation for the toric code model in an external magnetic field with any field strength, where the system is not exactly solvable. The topological quantum phase transition in this system is further observed in the optimized circuits by measuring the magnetization and topological entanglement entropy.

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