Non-Clifford gate on optical qubits by nonlinear feedforward

Abstract

In a continuous-variable optical system, the Gottesman-Kitaev-Preskill (GKP) qubit is a promising candidate for fault-tolerant quantum computation. To implement non-Clifford operations on GKP qubits, non-Gaussian operations are required. In this context, the implementation of a cubic phase gate by combining nonlinear feedforward with ancillary states has been widely researched. Recently, however, it is pointed out that the cubic phase gate is not the most suitable for non-Clifford operations on GKP qubits. In this work, we show that we can achieve linear optical implementation of non-Clifford operations on GKP qubit with high fidelity by applying the nonlinear feedforward originally developed for the cubic phase gate and using a GKP-encoded ancillary state. Our work shows the versatility of nonlinear feedforward technique important for optical implementation of the fault-tolerant continuous-variable quantum computation.

arXiv comment11 pages, 5 figures

References in corpus (33)

• Encoding a qubit in an oscillator
• Universal Quantum Computation with ideal Clifford gates and noisy ancillas
• Quantum computation over continuous variables
• Detection of 15 dB Squeezed States of Light and their Application for the Absolute Calibration of Photoelectric Quantum Efficiency
• Universal Quantum Computation with Continuous-Variable Cluster States
• Experimental realization of multipartite entanglement of 60 modes of a quantum optical frequency comb
• Time-Domain Multiplexed 2-Dimensional Cluster State: Universal Quantum Computing Platform
• Quantum error correction of a qubit encoded in grid states of an oscillator
• Deterministic generation of a two-dimensional cluster state
• Efficient Classical Simulation of Continuous Variable Quantum Information Processes
• Encoding a qubit in a trapped-ion mechanical oscillator
• Fault-Tolerant Measurement-Based Quantum Computing with Continuous-Variable Cluster States
• Methodology for quantum logic gate constructions
• Blueprint for a Scalable Photonic Fault-Tolerant Quantum Computer
• All-Gaussian universality and fault tolerance with the Gottesman-Kitaev-Preskill code
• High-threshold fault-tolerant quantum computation with analog quantum error correction
• Progress towards practical qubit computation using approximate Gottesman-Kitaev-Preskill codes
• Generating superposition of up-to three photons for continuous variable quantum information processing
• All-optical generation of states for "Encoding a qubit in an oscillator"
• Improved magic states distillation for quantum universality
• Implementation of a quantum cubic gate by adaptive non-Gaussian measurement
• Demonstration of a quantum nondemolition sum gate
• Deterministic implementation of weak quantum cubic nonlinearity
• One-hundred step measurement-based quantum computation multiplexed in the time domain with 25 MHz clock frequency
• Bound States for Magic State Distillation in Fault-Tolerant Quantum Computation
• General implementation of arbitrary nonlinear quadrature phase gates
• Modular Bosonic Subsystem Codes
• Experimental realization of a dynamic squeezing gate
• Robust fault tolerance for continuous-variable cluster states with excess anti-squeezing
• Cost-Reduced All-Gaussian Universality with the Gottesman-Kitaev-Preskill Code: Resource-Theoretic Approach to Cost Analysis
• Nonlinear squeezing for measurement-based non-Gaussian operations in time domain
• Cubic phase gates are not suitable for non-Clifford operations on GKP states
• Quantum Nondemolition Gate Operations and Measurements in Real Time on Fluctuating Signals

Cited by in corpus (8)

• Robust preparation of Wigner-negative states with optimized SNAP-displacement sequences
• Building a large-scale quantum computer with continuous-variable optical technologies
• Nonlinear feedforward enabling quantum computation
• All-optical quantum computing using cubic phase gates
• Designing Kerr Interactions for Quantum Information Processing via Counterrotating Terms of Asymmetric Josephson-Junction Loops
• Switching-free time-domain optical quantum computation with quantum teleportation
• Quantum Volume for Photonic Quantum Processors
• Flow conditions for continuous variable measurement-based quantum computing