Continuous-variable gate teleportation and bosonic-code error correction
- URL: http://arxiv.org/abs/2008.12791v3
- Date: Fri, 18 Dec 2020 01:17:39 GMT
- Title: Continuous-variable gate teleportation and bosonic-code error correction
- Authors: Blayney W. Walshe, Ben Q. Baragiola, Rafael N. Alexander, Nicolas C.
Menicucci
- Abstract summary: We show that gate teleportation is used to perform error correction on bosonic qubits encoded using the Gottesman-Kitaev-Preskill code.
The upshot of our technique is that state injection for both gate teleportation and error correction can be achieved without active squeezing operations.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: 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.
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