Variational quantum algorithms, a representative class of modern quantum algorithms, provide practical uses of nearterm quantum processors. The size of the problem that can be encoded and solved on a quantum processor is limited by the dimension of the Hilbert space associated with the processor. One common approach for increasing the system dimension is to utilize a larger number of quantum systems. Here, we adopt an alternative approach to utilize multiple degrees of freedom of individual quantum systems to experimentally resource-efficiently increase theHilbert space.We report experimental implementation of the variational quantum eigensolver (VQE) using four-dimensional photonic quantum states of single photons. The four-dimensional quantum states are implemented by utilizing polarization and path degrees of freedom of a single photon. Our photonic VQE is equipped with a quantum error mitigation protocol that efficiently reduces the effects of Pauli noise in the quantum processing unit.We apply our photonicVQEto estimate the ground state energy of theHe-H+ cation. Simulation and experimental results demonstrate that our experimental resource-efficient photonic VQE can accurately estimate the bond dissociation curve, even in the presence of large noise in the quantum processing unit. We also discuss further possible resource-efficient enhancement of the Hilbert space in photonic quantum processors. Our results propose that photonic systems utilizing multiple degrees of freedom can provide a resource-efficient avenue to implement practical near-term quantum processors.
|Number of pages||9|
|Publication status||Published - 2022 Jan 20|
Bibliographical noteFunding Information:
Funding. Korea Institute of Science and Technology (2E31021); MSIP/IITP (2020-0-00972, 2020-0-00947, 2021-0-02046); National Research Foundation of Korea (2019M3E4A1078662, 2019M3E4A1079777, 2019R1A2C2006381, 2019R1A2C2007037, 2019R1I1A1A01059964, 2021M1A2A2043892, 2021R1C1C1003625).
© 2022 Optical Society of America.
All Science Journal Classification (ASJC) codes
- Electronic, Optical and Magnetic Materials
- Atomic and Molecular Physics, and Optics