Mutual information-assisted adaptive variational quantum eigensolver

Zhang, Zi-Jian1,2,3; Kyaw, Thi Ha2,3; Kottmann, Jakob S.2,3; Degroote, Matthias2,3; Aspuru-Guzik, Alan2,3,4,5

2021-07-01

10.1088/2058-9565/abdca4

Quantum Science and Technology   影响因子和分区

2058-9565

Adaptive construction of ansatz circuits offers a promising route towards applicable variational quantum eigensolvers on near-term quantum hardware. Those algorithms aim to build up optimal circuits for a certain problem and ansatz circuits are adaptively constructed by selecting and adding entanglers from a predefined pool. In this work, we propose a way to construct entangler pools with reduced size by leveraging classical algorithms. Our method uses mutual information between the qubits in classically approximated ground state to rank and screen the entanglers. The density matrix renormalization group method is employed for classical precomputation in this work. We corroborate our method numerically on small molecules. Our numerical experiments show that a reduced entangler pool with a small portion of the original entangler pool can achieve same numerical accuracy. We believe that our method paves a new way for adaptive construction of ansatz circuits for variational quantum algorithms.

quantum computing variational quantum eigensolver quantum computational chemistry

SCI ; EI

英语

第一

U.S. Department of Energy[DE-SC0019374]

Physics

Quantum Science & Technology ; Physics, Multidisciplinary

WOS:000680166300001

IOP PUBLISHING LTD

20213410811198

Ground state ; Lakes ; Quantum theory ; Statistical mechanics

Numerical Methods:921.6 ; Mechanics:931.1 ; Quantum Theory; Quantum Mechanics:931.4

Web of Science

1.Southern Univ Sci & Technol, Dept Phys, Shenzhen 518055, Peoples R China
2.Univ Toronto, Dept Comp Sci, Toronto, ON M5S 2E4, Canada
3.Univ Toronto, Dept Chem, Toronto, ON M5G 1Z8, Canada
4.Vector Inst Artificial Intelligence, Toronto, ON M5S IM1, Canada
5.Canadian Inst Adv Res, Toronto, ON M5G IZ8, Canada

Zhang, Zi-Jian,Kyaw, Thi Ha,Kottmann, Jakob S.,et al. Mutual information-assisted adaptive variational quantum eigensolver[J]. Quantum Science and Technology,2021,6(3).

Zhang, Zi-Jian,Kyaw, Thi Ha,Kottmann, Jakob S.,Degroote, Matthias,&Aspuru-Guzik, Alan.(2021).Mutual information-assisted adaptive variational quantum eigensolver.Quantum Science and Technology,6(3).

Zhang, Zi-Jian,et al."Mutual information-assisted adaptive variational quantum eigensolver".Quantum Science and Technology 6.3(2021).