Optimal number-conserved linear encoding for practical fermionic simulation
File(s)
Published version
Author(s)
Type
Journal Article
Abstract
Number-conserved subspace encoding reduces resources needed for quantum simulations, but scalable com plexity trade-off bounds for M modes and N particles with O(N log M) qubits have remained unknown. We study
qubit-gate-measurement trade-offs through the lens of classical/quantum error correction complexity and develop
a framework of fermionic gate and measurement complexity based on classical encoder/decoder appearing in
the error correction framework. We demonstrate optimal encoding with random classical parity check code and
propose the Fermionic Expectation Decoder for scalable probability decoding in O(M4 ) bases. The protocol is
tested with variational quantum eigensolver on LiH in the STO-3G and 6-31G bases, and H2 potential energy
curve in the 6-311G* basis.
qubit-gate-measurement trade-offs through the lens of classical/quantum error correction complexity and develop
a framework of fermionic gate and measurement complexity based on classical encoder/decoder appearing in
the error correction framework. We demonstrate optimal encoding with random classical parity check code and
propose the Fermionic Expectation Decoder for scalable probability decoding in O(M4 ) bases. The protocol is
tested with variational quantum eigensolver on LiH in the STO-3G and 6-31G bases, and H2 potential energy
curve in the 6-311G* basis.
Date Issued
2025-09-24
Date Acceptance
2025-08-15
Citation
Physical Review Research, 2025, 7 (3)
ISSN
2643-1564
Publisher
American Physical Society
Journal / Book Title
Physical Review Research
Volume
7
Issue
3
Copyright Statement
Published by the American Physical Society Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.
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Subjects
CODES
Physical Sciences
Physics
Physics, Multidisciplinary
Science & Technology
Publication Status
Published
Article Number
033280
Date Publish Online
2025-09-24