We experimentally demonstrate a qubit-efficient variational quantum eigensolver(VQE)algorithm using a superconducting quantum processor,employing minimal quantum resources with only a transmon qubit coupled to a high-...We experimentally demonstrate a qubit-efficient variational quantum eigensolver(VQE)algorithm using a superconducting quantum processor,employing minimal quantum resources with only a transmon qubit coupled to a high-coherence photonic qubit.By leveraging matrix product states to compress the quantum state representation,we simulate an N+1-spin circular Ising model with a transverse field.Furthermore,we develop an analog error mitigation approach through zero-noise extrapolation by introducing a precise noise injection technique for the transmon qubit.As a validation,we apply our error-mitigated qubit-efficient VQE in determining the ground state energies of a 4-spin Ising model.Our results demonstrate the feasibility of performing quantum algorithms with minimal quantum resources while effectively mitigating the impact of noise,offering a promising pathway to bridge the gap between theoretical advances and practical implementations on current noisy intermediate-scale quantum devices.展开更多
基金supported by the National Natural Science Foundation of China(Grants Nos.11925404,92165209,92365301,92265210,11890704,92365206,12474498,T2225018,92270107,12188101,T2121001,and 62173201)the Innovation Program for Quantum Science and Technology(Grant Nos.2021ZD0300200,and 2021ZD0301800)+2 种基金the National Key R&D Program(Grants No.2017YFA0304303)supported by the Fundamental Research Funds for the Central UniversitiesUSTC Research Funds of the Double First-Class Initiative。
文摘We experimentally demonstrate a qubit-efficient variational quantum eigensolver(VQE)algorithm using a superconducting quantum processor,employing minimal quantum resources with only a transmon qubit coupled to a high-coherence photonic qubit.By leveraging matrix product states to compress the quantum state representation,we simulate an N+1-spin circular Ising model with a transverse field.Furthermore,we develop an analog error mitigation approach through zero-noise extrapolation by introducing a precise noise injection technique for the transmon qubit.As a validation,we apply our error-mitigated qubit-efficient VQE in determining the ground state energies of a 4-spin Ising model.Our results demonstrate the feasibility of performing quantum algorithms with minimal quantum resources while effectively mitigating the impact of noise,offering a promising pathway to bridge the gap between theoretical advances and practical implementations on current noisy intermediate-scale quantum devices.
