Robust and Deterministic Preparation of Bosonic Logical States in a Trapped Ion

Abstract

Encoding logical qubits in bosonic modes provides a potentially hardware-efficient implementation of fault-tolerant quantum information processing. Here, we demonstrate high-fidelity and deterministic preparation of highly non-classical bosonic states in the mechanical motion of a trapped ion. Our approach implements error-suppressing pulses through optimized dynamical modulation of laser-driven spin-motion interactions to generate the target state in a single step. We demonstrate logical fidelities for the Gottesman-Kitaev-Preskill (GKP) state as high as $\bar{\mathcal{F}}=0.940(8)$, a distance-3 binomial state with an average fidelity of $\mathcal{F}=0.807(7)$, and a 12.91(5) dB squeezed vacuum state.

14 pages, 9 figures

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• Toward hybrid quantum simulations with qubits and qumodes on trapped-ion platforms
• Benchmarking bosonic modes for quantum information with randomized displacements
• Quantum squeezing amplification with a weak Kerr nonlinear oscillator
• Optimal Phase-Insensitive Force Sensing with Non-Gaussian States
• Engineering continuous-variable entanglement in mechanical oscillators with optimal control
• Logical channel for heralded and pure loss with the Gottesman-Kitaev-Preskill code
• Bosonic Pauli+: Efficient Simulation of Concatenated Gottesman-Kitaev-Preskill Codes
• Two-Mode Bosonic State Tomography with Single-Shot Joint-Parity Measurement of a Trapped Ion
• Logical channels in approximate Gottesman-Kitaev-Preskill error correction
• Cancellation of phonon hopping in trapped ions by modulation of the trap potential
• Topological stabilizer models on continuous variables
• Optical Quantum Computing
• Optimal Displacement Sensing with Spin-Dependent Squeezed States
• Enlarging the GKP stabilizer group for enhanced noise protection
• Doubling Qubits in a Trapped-Ion System via Vibrational Dual-Rail Encoding
• Scalable Optical Quantum State Synthesizer with Dual-Mode Resonator Memory
• Fault-Tolerant Non-Clifford GKP Gates using Polynomial Phase Gates and On-Demand Noise Biasing
• Exploring the quantum capacity of a Gaussian random displacement channel using Gottesman-Kitaev-Preskill codes and maximum likelihood decoding