Bulletin of the American Physical Society
APS March Meeting 2024
Monday–Friday, March 4–8, 2024; Minneapolis & Virtual
Session S51: Quantum Error Correction Code Performance and Implementation II
8:00 AM–11:00 AM,
Thursday, March 7, 2024
Room: 200IJ
Sponsoring
Unit:
DQI
Chair: Kaavya Sahay, Yale University
Abstract: S51.00011 : Estimating the Ground State Energy of Hydrogen at Distance 3
10:24 AM–10:36 AM
Presenter:
Ben Criger
(Quantinuum Ltd.)
Authors:
Ben Criger
(Quantinuum Ltd.)
Andrew Tranter
(Quantinuum Ltd.)
Kentaro Yamamoto
(Quantinuum Ltd.)
David Muñoz Ramo
(Quantinuum Ltd)
Silas Dilkes
(Quantinuum Ltd.)
Yuta Kikuchi
(Quantinuum Ltd.)
Recently, Yamamoto et al. have used Bayesian phase estimation with an error-detecting code to estimate the ground state energy of Hydrogen using the Quantinuum H2 processor. In order to eliminate the overhead from logical gate synthesis, Yamamoto et al. opted to perform non-Clifford gates non-fault-tolerantly, limiting the scalability of their approach.
In the current work, we increase the code distance to three using the Steane code, and use gate teleportation to execute T gates, using magic states prepared fault-tolerantly. In order to minimize the resulting gate synthesis overhead (and therefore logical error rate), we use probabilistic angle interpolation, recently developed by Koczor et al., to replace precise Z-axis rotations with samples from an ensemble containing at most one T gate per rotation. This reduces the T-count of the circuits used by approximately an order of magnitude. We also explore post-selection on correctable errors as an avenue to reduce conditional logical error rates, and approach chemical accuracy.
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