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Title: Measurement-based generation and preservation of cat and grid states within a continuous-variable cluster state
We present an algorithm to reliably generate various quantum states critical to quantum error correction and universal continuous-variable (CV) quantum computing, such as Schrödinger cat states and Gottesman-Kitaev-Preskill (GKP) grid states, out of Gaussian CV cluster states. Our algorithm is based on the Photon-counting-Assisted Node-Teleportation Method (PhANTM), which uses standard Gaussian information processing on the cluster state with the only addition of local photon-number-resolving measurements. We show that PhANTM can apply polynomial gates and embed cat states within the cluster. This method stabilizes cat states against Gaussian noise and perpetuates non-Gaussianity within the cluster. We show that existing protocols for breeding cat states can be embedded into cluster state processing using PhANTM.  more » « less
Award ID(s):
1820882
NSF-PAR ID:
10345125
Author(s) / Creator(s):
; ; ; ;
Date Published:
Journal Name:
Quantum
Volume:
6
ISSN:
2521-327X
Page Range / eLocation ID:
769
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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