| （英） |
In recent years, topologically ordered states have piqued interest due to their unique properties and potential
applications in quantum computing. The toric code, a variant of the surface code, stands out for its quantum error correction capabilities. Prior research has underscored efforts to prepare its ground state on a lattice of 31 superconducting
qubits. In parallel, the Variational Quantum Eigensolver (VQE) has emerged as a key tool for addressing quantum
many-body challenges. Within the VQE framework, the novel Parameterized Loop Gas Circuit (PLGC) ansatz, optimized for NISQ devices, has proven efficient in reproducing the toric code’s ground state. Our research delves deeper,
examining different boundary conditions for the toric code in noisy settings on both simulators and real quantum devices.
Additionally, we investigate the scalability of larger systems by harnessing mixed boundary conditions, which are implementable using one-dimensional qubit configurations on real devices. Our study also contrasts the performance of the
PLGC ansatz with the Hardware-efficient ansatz, evaluating them with various optimizers for energy convergence and
note that the PLGC ansatz exhibits superior performance and scalability while requiring fewer optimization parameters,
especially in larger lattices. |