Measurement-based generation and preservation of cat and grid states within a continuous-variable cluster state

Abstract

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.

Accepted for publication in Quantum, July 06 2022. 30 pages, 13 figures

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Cited by in corpus (17)

• Advances in Bosonic Quantum Error Correction with Gottesman-Kitaev-Preskill Codes: Theory, Engineering and Applications
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• Generation of Flying Logical Qubits using Generalized Photon Subtraction with Adaptive Gaussian Operations
• All-optical quantum computing using cubic phase gates
• Correlation-pattern-based Continuous-variable Entanglement Detection through Neural Networks
• Ground state nature and nonlinear squeezing of Gottesman-Kitaev-Preskill states
• Teleportation protocols with non-Gaussian operations: conditional photon subtraction versus cubic phase gate
• Catability as a metric for evaluating superposed coherent states
• Machine learning for efficient generation of universal hybrid quantum computing resources
• Quadrature Coherence Scale of Linear Combinations of Gaussian Functions in Phase Space
• Characterizing the Multipartite Entanglement Structure of Non-Gaussian Continuous-Variable States with a Single Evolution Operator
• Adapting coherent-state superpositions in noisy channels
• End-to-end switchless architecture for fault-tolerant photonic quantum computing
• Engineering propagating cat states with driving-assisted cavity QED
• Quantum non-Gaussian high Fock states of light pulses and their superpositions
• Efficient optical cat state generation using squeezed few-photon superposition states
• Non-Gaussian state teleportation with a nonlinear feedforward