Bulletin of the American Physical Society
2024 APS March Meeting
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: S51.00003 : Blueprint for large-scale quantum computing with biased noise qubits and the XZZX surface code*
8:48 AM–9:00 AM
Presenter:
Jahan Claes
(Yale University)
Authors:
Jahan Claes
(Yale University)
Shruti Puri
(Yale University)
For realistic amounts of noise, the hardware overhead for surface code error correction is
dauntingly large, with each logical qubit potentially requiring thousands of physical. One
promising approach is to use biased-noise qubits, such as Kerr cats, in which the probability of X
or Y errors is suppressed compared to Z errors. Using biased-noise qubits means we can more
effectively correct errors and allows for modifications of the surface code which reduce the
hardware overhead. The commonly considered modifications are the XY surface code, the XZZX
surface code, and the thin surface code.
In this talk, I’ll present a blueprint for building a large-scale quantum computer using the XZZX
surface. I’ll explain how to efficiently lay out the surface code, perform lattice surgery, and
distill magic states in the presence of dephasing noise. Some of these optimizations can also be
realized in the XY and thin surface code, while some are specific to the XZZX surface code.
Finally, I will derive estimates for the improved overhead offered by the XZZX surface code, and
compare the overhead to the XY and thin surface codes.
*National Science Foundation (NSF) Award No. 2137740
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