Extensible Platforms for Bosonic Quantum Error Correction
Name
jha-shanjha-sm-eecs-2024-thesis.pdf
Description
Thesis PDF
Size
12.5 MB
Format
Adobe PDF
Checksum (MD5)
504e54a4ab38b2fe7f60d4602be34908
Author(s)
Jha, Shantanu R.
Advisor(s)
Oliver, William D.
Date Issued
May 2024
Publisher
Massachusetts Institute of Technology
Abstract
Bosonic quantum error correction (QEC) encodes information in the phase space of a quantum harmonic oscillator and offers a hardware-efficient path towards faulttolerant quantum information processing. With superconducting circuits, bosonic QECusing the Gottesman-Kiteav-Preskill (GKP) encoding has been achieved using the high-Q mode of a macroscopic 3D microwave cavity controlled via fixedfrequency transmon qubits [1, 2, 3, 4, 5, 6]. To date, all previous demonstrations have been limited by bit-flips in the transmon control qubit (with typical T1 lifetimes on the order of 100 microseconds), resulting in logical lifetimes that are upper-bounded by approximately ∼ 10T1. In this thesis, we replace the transmon with a heavy-fluxonium control qubit, which has been shown to possess bit-flip lifetimes in excess of 1 millisecond [7, 8, 9, 10]. Furthermore, we propose using the asymmetrically threaded SQUID as a microwave-activated three-wave mixing coupler to yield faster GKP error-correction rates while suppressing inherited nonlinearity in our bosonic mode. As compared to direct dispersive coupling, this parametric coupling enables us to use a heavier, and therefore more bit-flip-protected, fluxonium qubit. Finally, with an accelerated error correction rate, we can use a lower-Q planar resonator to store logical quantum information in an extensible and fully 2D architecture.
MIT Department
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
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