Projective squeezing for translation symmetric bosonic codes

• URL: http://arxiv.org/abs/2403.14218v1
• Date: Thu, 21 Mar 2024 08:19:47 GMT
• Title: Projective squeezing for translation symmetric bosonic codes
• Authors: Suguru Endo, Keitaro Anai, Yuichiro Matsuzaki, Yuuki Tokunaga, Yasunari Suzuki,
• Abstract summary: We introduce the textitprojective squeezing (PS) method for computing outcomes for a higher squeezing level. We numerically verify our analytical arguments and show that our protocol can mitigate the effect of photon loss.
• Score: 0.16777183511743468
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The design of translation symmetric bosonic codes, e.g., Gottesmann-Kitaev-Preskill and squeezed cat codes, is robust against photon loss, but the computation accuracy is limited by the available squeezing level. Here, we introduce the \textit{projective squeezing} (PS) method for computing outcomes for a higher squeezing level by revealing that a linear combination of displacement operators with periodic displacement values constitutes the smeared projector onto the better code space; we also show the analytical relationship between the increased squeezing level and the projection probability. We introduce concrete implementation methods for PS based on linear-combination-of-unitaries and virtual quantum error detection. We also numerically verify our analytical arguments and show that our protocol can mitigate the effect of photon loss.

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