Analysis of selective photon addition in a bosonic mode with an ancillary qubit
Typ
Examensarbete för masterexamen
Master's Thesis
Master's Thesis
Program
Complex adaptive systems (MPCAS), MSc
Publicerad
2024
Författare
Jirlow, Martin
Modellbyggare
Tidskriftstitel
ISSN
Volymtitel
Utgivare
Sammanfattning
Quantum computation using bosonic modes is a promising alternative to discrete
quantum computing with superconducting qubits. Bosonic modes utilize microwave
cavities to encode and manipulate quantum information, leveraging the equally
spaced energy levels of the cavity to create multi-photon states for robust encoding
of quantum information. The dominant source of error in a bosonic mode is singlephoton loss, and finding error correction protocols for this error is an active area of
research.
Autonomous quantum error correction for a bosonic code was first applied experimentally by Gertler et. al. [J. M. Gertler et al., Nature 590, 243 (2021)], yet they
did not reach the break-even point. An alternative protocol for recovering the cavity
state after a photon loss is to apply a Selective Number-dependent Arbitrary-Phase
Photon-Addition (SNAPPA) gate [M. Kudra et al., arXiv: 2212.12079 (2021)] followed by a quick qubit reset. SNAPPA was implemented experimentally by Kudra
et al. yet no accurate theoretical model for this process exists.
We derive an accurate and effective Hamiltonian for the SNAPPA gate, and simulate the dynamics to find close agreement with previous experimental results. The
derivation highlights a general procedure for finding effective Hamiltonians where
current procedures previously have failed.