Shallow quantum circuits for efficient preparation of Slater determinants and correlated states on a quantum computer

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Shallow quantum circuits for efficient preparation of Slater determinants and correlated states on a quantum computer
Title:
Shallow quantum circuits for efficient preparation of Slater determinants and correlated states on a quantum computer
Journal Title:
Physical Review A
Keywords:
Publication Date:
18 August 2023
Citation:
Chee, C. H., Leykam, D., Mak, A. M., & Angelakis, D. G. (2023). Shallow quantum circuits for efficient preparation of Slater determinants and correlated states on a quantum computer. Physical Review A, 108(2). https://doi.org/10.1103/physreva.108.022416
Abstract:
Fermionic Ansatz state preparation is a critical subroutine in many quantum algorithms such as the variational quantum eigensolver for quantum chemistry and condensed-matter applications. The shallowest circuit depth needed to prepare Slater determinants and correlated states to date scales at least linearly with respect to the system size N. Inspired by data-loading circuits developed for quantum machine learning, we propose an alternate paradigm that provides shallower, yet scalable, O(d log2 N ) two-qubit gate-depth circuits to prepare such states with d fermions, offering a subexponential reduction in N over existing approaches in second quantization, enabling high-accuracy studies of d ≪ O(N/ log2 N ) fermionic systems with larger basis sets on near-term quantum devices.
License type:
Publisher Copyright
Funding Info:
This research / project is supported by the National Research Foundation/ A*STAR - Quantum Engineering Programme 2.0
Grant Reference no. : NRF2021-OEP2-02-P02

This research is supported by core funding from: A*STAR
Grant Reference no. : #21709
Description:
ISSN:
2469-9934
2469-9926
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