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Logical Single Qubit Rotation Gates for Rotation Symmetric Bosonic Error Correction Codes

ORAL

Abstract

Rotation symmetric bosonic error correction schemes that correct for single photon loss encode the logical qubit into a superposition of Fock states with the same parity [1]. For example, one possible bosonic qubit encoding is to pick |1L> = |2> and |0L> = 1/sqrt(2)(|0> + |4>), where both |0L> and |1L> are encoded using even parity Fock states. Thus, in order to transition between two code words that are protected against single photon loss in this formalism, the drive pulses to the bosonic qubit system must preserve the parity. In general, realizing single qubit logical gates for rotation symmetric bosonic encodings that protect against losses of n-photons requires drive pulses that transition from |m> to |m + n + 1>. By extending a technique known as the Selective Number-dependent Arbitrary-Phase Photon-Addition (SNAPPA) gate [2] to directly drive different transitions from |m> to |m + n +1> simultaneously at different drive powers for different |m>, we aim to show that it is possible to have a logical single qubit rotation gate (eg. Rx,y(θ)) for rotation symmetric encodings of bosonic qubits and demonstrate potential applications.

References

[1] A. Joshi, K. Noh, Y. Y. Gao, Quantum Sci. Technol. 6 033001 (2021)

[2] M. Kudra et al. arXiv:2212.12079 (2022)

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Presenters

  • Cody S Fan

    University of California, Los Angeles

Authors

  • Cody S Fan

    University of California, Los Angeles

  • Evangelos Vlachos

    University of Southern California

  • Daria Kowsari

    University of Southern California

  • Raphael Low

    University of California Los Angeles, University of California, Los Angeles

  • Sadman Ahmed Shanto

    University of Southern California

  • Maria G Boada

    North Carolina State University

  • Pengcheng Liao

    University of Southern California

  • Sophi Chen Song

    University of California, Los Angeles

  • Renjie Kang

    University of California Los Angeles, University of California, Los Angeles

  • Vivek Maurya

    University of Southern California

  • Qiyu Liu

    University of California Los Angeles, University of California, Los Angeles

  • Madeline Taylor

    Google Quantum AI, University of California, Los Angeles

  • Kangdi Yu

    University of California, Berkeley, UC Berkeley

  • Nicolas Dirnegger

    University of California, Los Angeles, UCLA

  • Jin Ho Kang

    University of California, Los Angeles

  • Murat Can Sarihan

    Google Quantum AI, University of California, Los Angeles

  • Wei-Che Hsu

    University of California, Los Angeles

  • Quntao Zhuang

    University of Southern California

  • Eli M Levenson-Falk

    University of Southern California

  • Chee Wei Wong

    University of California, Los Angeles