Cat states, which span high-dimensional Hilbert space, have been proven to be an attractive candidate for redundantly encoding in superconducting circuit quantum electrodynamics [1]. Usually, such cat states are easily affected by photon loss, which inevitably leads to the degradation of the encoded quantum information [2]. One promising technique to protect the quantum coherence of cat states is quadrature squeezing [3]. Here, we generate a squeezed cat state in a three-dimensional microwave cavity via a deterministic protocol, which consist of conditional displacements and qubit rotations. We show that squeezing enhances the coherence of cat states against photon loss [4]. This demonstration provides a useful technique to create more robust code words for quantum error correction and paves the way for robust information processing using bosonic states in superconducting cavities.
*This research is supported by the National Research Foundation and the Ministry of Education, Singapore.
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Publication:[1] N. Ofek, A. Petrenko, R. Heeres, P. Reinhold, Z. Leghtas, B. Vlastakis, Y. Liu, L. Frunzio, S. M. Girvin, L. Jiang, M. Mirrahimi, M. H. Devoret, and R. J. Schoelkopf, Extending the lifetime of a quantum bit with error correction in superconducting circuits, Nature 536, 441 (2016). [2] H. Le Jeannic, A. Cavailles, K. Huang, R. Filip, and J. Laurat, Slowing quantum decoherence by squeezing in phase space, Phys. Rev. Lett. 120, 073603 (2018). [3] J. Hastrup, K. Park, R. Filip, and U. L. Andersen, Unconditional preparation of squeezed vacuum from Rabi interactions, Phys. Rev. Lett. 126, 153602 (2021). [4] C. Wang, et al., A Schro¨dinger cat living in two boxes, Science 352, 1087 (2016). [5] X. Pan, et al., Enhancing the cat's lifetime by squeezing, in preparation.