Work

An efficient quantum circuit for block encoding a pairing Hamiltonian

Year: 2024

Type: article

Abstract: We present an efficient quantum circuit for block encoding pairing Hamiltonian often studied in nuclear physics. Our block encoding scheme does not require mapping the creation and annihilation operators to the Pauli operators and representing the Hamiltonian as a linear combination of unitaries. Instead, we show how to encode the Hamiltonian directly using controlled swap operations. We analyze the gate complexity of the block encoding circuit and show that it scales polynomially with respect to the number of qubits required to represent a quantum state associated with the pairing Hamiltonian. We also show how the block encoding circuit can be combined with the quantum singular value transformation to construct an efficient quantum circuit for approximating the density of states of a pairing Hamiltonian. The techniques presented can be extended to encode more general second-quantized Hamiltonians.

Source: Journal of Computational Science

DOI: 10.1016/j.jocs.2024.102480

Authors: Diyi Liu, Weijie Du, Lin Lin, James P. Vary, Chao Yang

Institutions: University of Minnesota, Iowa State University, Lawrence Berkeley National Laboratory, University of California, Berkeley

Language: English

Topic: Quantum Computing Algorithms and Architecture

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,890