Bulletin of the American Physical Society
Four Corners Section 2022 Meeting
Volume 67, Number 14
Friday–Saturday, October 14–15, 2022; Albuquerque, New Mexico
Session E02: Quantum Information I
2:30 PM–4:06 PM,
Friday, October 14, 2022
UNM
Room: PAIS 1010
Chair: Ivan Deutsch, University of New Mexico
Abstract: E02.00002 : Flag Gadgets based on Classical Codes*
2:54 PM–3:06 PM
Presenter:
Benjamin Anker
(University of New Mexico)
Authors:
Benjamin Anker
(University of New Mexico)
Milad Marvian
(University of New Mexico)
We develop a framework to design flag gadgets using classical codes, which is applicable to all stabilizer codes. Using this framework we show how to perform fault-tolerant syndrome extraction using exponentially fewer qubits than conventional methods. We also show how to fault-tolerantly measure multiple stabilizers using a single gadget. Using the developed framework we perform numerical simulations to find several small examples where our constructions reduce the number of qubits required. These small examples may be relevant to near-term experiments on small-scale quantum computers.
*This material is based upon work supported by the U.S. Department of Energy, Office of Science, National Quantum Information Science Research Centers, Quantum Systems Accelerator, and by the NSF Grant No. CCF-1954960.
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