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valbert4 committed Apr 27, 2024
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realizations:
- 'Lindbladian-based \cite{arXiv:1412.4633,arxiv:1705.02401} and Hamiltonian-based ''Kerr-cat'' \cite{arxiv:1907.12131} encodings have been achieved in superconducting circuit devices by the Devoret group; Ref. \cite{arxiv:1705.02401} also demonstrated a displacement-based gate. The Lindbladian-based scheme has further achieved a suppression of bit-flip errors that is exponential in the average photon number up to a bit-flip time of 1ms \cite{arXiv:1907.11729}.
A bit-flip time of up to 10s has been achieved for the two-legged cat code in the classical-bit regime \cite{arxiv:2204.09128,arxiv:2307.06617,arxiv:2307.06761}.
A holonomic gate has been repurposed as a logical measurement \cite{arxiv:1503.00194}.'
A holonomic gate has been repurposed as a logical measurement \cite{arxiv:1503.00194}.
The ''Kerr-cat'' encoding and a \(\pi/2\) gate have been realized with the help of a band-block filter, yielding a bit-flip lifetime of 1 ms in the 10-photon regime \cite{arxiv:2404.16697}.'
- 'T4C code realized in a superconducting circuit device by the Wang group \cite{arxiv:2004.09322}.'
# - 'Approximate ("kitten") optical realization of the odd cat state \cite{doi:10.1126/science.1122858}.'

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