During my PhD, I was also a visiting researcher at the University of Sherbrooke and TU Delft, working with David Poulin and Barbara Terhal and did research internships at Microsoft Quantum and IBM.
The key idea behind the GKP qubit is to work around the Heisenberg uncertainty principle.
Surface-GKP code: extracting analog information from GKP shift corrections While the shift errors due to finite squeezing is contained within the unit cell of the GKP lattice most of the time, it may still slip from time to time.
GKP 4.0 : Semakan Status Bayaran Fasa 2 (23 November 2021)
Christopher Chamberland I am a research scientist at the AWS Center for Quantum Computing working on developing universal fault-tolerant quantum computing architectures.
Above the threshold, error correction does more harm than good, as you can see in Figure 1.
This research shows that by concatenating the surface code with Gottesman, Kitaev, and Preskill GKP qubits, it is theoretically possible to achieve a logical error rate of 10 -8 that is much lower than error rates of current state-of-the-art hardware.
Say the relevant lattice spacing is s for the GKP qubits.
Given gkp hardware constraints of superconducting qubit architectures, where gates between qubits can only be implemented via nearest neighbor interactions, topological quantum error-correcting codes are the most promising families of error-correcting codes to be realized on near-term devices.
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