Bulletin of the American Physical Society
APS March Meeting 2023
Volume 68, Number 3
Las Vegas, Nevada (March 5-10)
Virtual (March 20-22); Time Zone: Pacific Time
Session A64: Algorithms for Hamiltionian Simulations
8:00 AM–11:00 AM,
Monday, March 6, 2023
Room: Room 415
Sponsoring
Unit:
DQI
Chair: William Munizzi, Arizona State University
Abstract: A64.00010 : Optimal fermion-qubit mappings*
10:12 AM–10:24 AM
Presenter:
Mitchell Chiew
(University of Cambridge)
Authors:
Mitchell Chiew
(University of Cambridge)
Sergii Strelchuk
(University of Cambridge)
We demonstrate how Mitchison-Durbin’s enumeration pattern is optimal for the square fermionic lattice. This leads to a qubit Hamiltonian for simulating the square fermionic lattice consisting of terms with an average Pauli weight 13.9% shorter than previously known. Furthermore, by adding only two ancilla qubits we can reduce the average Pauli weight of Hamiltonian terms by 37.9% on square lattices compared to previous methods. For other natural n-mode fermionic systems we find enumeration patterns which result in n1/4 improvement in average Pauli weight over naïve enumeration schemes,
*Funding via the Cambridge Australia Allen and DAMTP Scholarship, the Royal Society PhD studentship, and the Royal Society University Research Fellowship scheme.
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