Parametrized quantum circuit for weight-adjustable quantum loop gas
arXiv:2210.14662 · doi:10.1103/PhysRevB.107.L041109
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 parametrized 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.
5 pages, 4 figures
References in corpus (9)
- Supplementary information for "Quantum supremacy using a programmable superconducting processor"
- Non-Abelian Anyons and Topological Quantum Computation
- Realizing Repeated Quantum Error Correction in a Distance-Three Surface Code
- Lieb-Robinson bounds and the generation of correlations and topological quantum order
- Tools for quantum simulation with ultracold atoms in optical lattices
- QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems part I: spin chains
- Realization of an Error-Correcting Surface Code with Superconducting Qubits
- Breakdown of a topological phase: Quantum phase transition in a loop gas model with tension
- Methods for simulating string-net states and anyons on a digital quantum computer