Bulletin of the American Physical Society
APS March Meeting 2022
Volume 67, Number 3
Monday–Friday, March 14–18, 2022; Chicago
Session Z40: Towards Fault Tolerance and Realization of Quantum Error Correction
11:30 AM–2:06 PM,
Friday, March 18, 2022
Room: McCormick Place W-196B
Sponsoring
Unit:
DQI
Chair: Kevin Satzinger, Google
Abstract: Z40.00007 : Distance-four quantum codes with combined postselection and error correction*
1:06 PM–1:18 PM
Presenter:
Prithviraj Prabhu
(University of Southern California)
Authors:
Prithviraj Prabhu
(University of Southern California)
Ben Reichardt
(University of Southern California)
Our results demonstrate a combination of low logical error rate and low physical overhead. For example, the distance-four surface code, using postselection, accumulates 25 times less error than its distance-five counterpart. For six encoded qubits, a distance-four code using 25 qubits protects as well as the distance-five surface code using 246 qubits.
Hence distance-four codes, using postselection and in a planar geometry, are qubit-efficient candidates for fault-tolerant, moderate-depth computations.
*Research supported by Google and by MURI Grant FA9550-18-1-0161. This material is based on work supported by the U.S. Department of Energy, Office of Science, National Quantum Information Science Research Centers, Quantum Systems~Accelerator.
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