2020/08/31 by Blayney W. Walshe, Ben Q. Baragiola, Rafael N. Alexander +1 · 2 citations
Physics and Astronomy · #quant-ph
paper · pdf · doi:10.1103/physreva.102.062411
published as Phys. Rev. A 102, 062411 (2020) · 21 pages, 5 figures
arxiv created 2020/12/18 · arxiv updated 2021/01/04
We examine continuous-variable gate teleportation using entangled states made from pure product states sent through a beamsplitter. We show that such states are Choi states for a (typically) non-unitary gate, and we derive the associated Kraus operator for teleportation, which can be used to realize non-Gaussian, non-unitary quantum operations on an input state. With this result, we show how gate teleportation is used to perform error correction on bosonic qubits encoded using the Gottesman-Kitaev-Preskill code. This result is presented in the context of deterministically produced macronode cluster states, generated by constant-depth linear optical networks, supplemented with a probabilistic supply of GKP states. The upshot of our technique is that state injection for both gate teleportation and error correction can be achieved without active squeezing operations -- an experimental bottleneck for quantum optical implementations.