Repeat-until-success cubic phase gate for universal continuous-variable quantum computation

Abstract

In order to achieve universal quantum computation using continuous variables, one needs to jump out of the set of Gaussian operations and have a non-Gaussian element, such as the cubic phase gate. However, such a gate is currently very difficult to implement in practice. Here we introduce an experimentally viable 'repeat-until-success' approach to generating the cubic phase gate, which is achieved using sequential photon subtractions and Gaussian operations. We find that our scheme offers benefits in terms of the expected time until success, although we require a primitive quantum memory.

7 pages, 4 figures

References in corpus (20)

• Quantum information with continuous variables
• Gaussian Quantum Information
• Encoding a qubit in an oscillator
• Detecting Single Infrared Photons with 93% System Efficiency
• Quantum computation over continuous variables
• Ultra-Large-Scale Continuous-Variable Cluster States Multiplexed in the Time Domain
• Experimental realization of multipartite entanglement of 60 modes of a quantum optical frequency comb
• Quantum Computing with Continuous-Variable Clusters
• Parallel generation of quadripartite cluster entanglement in the optical frequency comb
• High performance fiber-coupled NbTiN superconducting nanowire single photon detectors with Gifford-McMahon cryocooler
• Universal continuous-variable quantum computation: Requirement of optical nonlinearity for photon counting
• Continuous-time cross-phase modulation and quantum computation
• Demonstration of a quantum nondemolition sum gate
• Deterministic implementation of weak quantum cubic nonlinearity
• Non-Gaussian states for continuous variable quantum computation via Gaussian maps
• Generation and characterization of resource state for nonlinear cubic phase gate
• How to decompose arbitrary continuous-variable quantum operations
• Experimental realization of a dynamic squeezing gate
• Generation and Eight-port Homodyne Characterization of Time-bin Qubits for Continuous-variable Quantum Information Processing
• Nonlinear potential of quantum oscillator induced by single photons

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