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)

*DARPA MeasQuiT

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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