Improved Pairwise Measurement-Based Surface Code
Linnea Grans-Samuelsson| Oxford University
In this talk, I present a new realization of the surface code on a rectangular lattice of qubits, utilizing single-qubit and nearest-neighbor two-qubit Pauli measurements with three auxiliary qubits per plaquette. The code is optimized for Majorana-based hardware. It has a short operation period of 4 steps and is designed to handle problematic error types well, in particular so-called “hook errors” and the presence of dead components.
I also discuss the construction of an efficient decoder for the code, and show the simulated code performance under the standard circuit noise model. The performance simulations indicate that the code has a high threshold of about 0.66% and is competitive with the current state-of-the-art quantum error correcting code for Majorana-based hardware, the 4.8.8. Floquet code.
I also briefly discuss how the strategy for stabilizer measurements here used for the surface code can be used more generally, and in particular how it was also used to construct a measurement-based code on only eight qubits, which to our knowledge is the smallest fault-tolerant error correcting Floquet code.
Location
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QNC 1201
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Meeting ID: 998 2460 0011, Passcode: 524577
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