@article{Cheng:2025:10.1103/lzf5-x6hc,
author = {Cheng, MH and Chen, Y-C and Wang, Q and Bartsch, V and Medina, AC and Kim, MS and Hu, A and Hsieh, M-H},
doi = {10.1103/lzf5-x6hc},
journal = {Physical Review Research},
title = {Optimal number-conserved linear encoding for practical fermionic simulation},
url = {http://dx.doi.org/10.1103/lzf5-x6hc},
volume = {7},
year = {2025}
}

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TY  - JOUR
AB  - 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 studyqubit-gate-measurement trade-offs through the lens of classical/quantum error correction complexity and developa framework of fermionic gate and measurement complexity based on classical encoder/decoder appearing inthe error correction framework. We demonstrate optimal encoding with random classical parity check code andpropose the Fermionic Expectation Decoder for scalable probability decoding in O(M4 ) bases. The protocol istested with variational quantum eigensolver on LiH in the STO-3G and 6-31G bases, and H2 potential energycurve in the 6-311G basis.
AU  - Cheng,MH
AU  - Chen,Y-C
AU  - Wang,Q
AU  - Bartsch,V
AU  - Medina,AC
AU  - Kim,MS
AU  - Hu,A
AU  - Hsieh,M-H
DO  - 10.1103/lzf5-x6hc
PY  - 2025///
SN  - 2643-1564
TI  - Optimal number-conserved linear encoding for practical fermionic simulation
T2  - Physical Review Research
UR  - http://dx.doi.org/10.1103/lzf5-x6hc
UR  - https://journals.aps.org/prresearch/abstract/10.1103/lzf5-x6hc
VL  - 7
ER  - 

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