Doubling Qubits in a Trapped-Ion System via Vibrational Dual-Rail Encoding

Abstract

Vibrational modes of trapped ions have traditionally served as quantum buses to mediate internal qubits. However, with recent advances in quantum control, it has become possible to use these vibrational modes directly as quantum computational resources, such as bosonic qubits. Here, we propose a dual-rail encoding scheme in which a dual-rail qubit is encoded by two vibrational modes that share a single phonon. We present the preparation, measurement, and implementation of single- and two-qubit gates, enabling universal quantum computation. The dual-rail qubit system offers scalability and all-to-all connectivity. Moreover, we extend the dual-rail qubit system to a logical internal qubit--dual-rail qubit hybrid system by incorporating internal qubits into the dual-rail qubit system as another type of logical qubit. The hybrid system nearly doubles the number of available logical qubits compared to conventional trapped-ion quantum computers while maintaining all-to-all connectivity. Additionally, we propose a method for implementing multi-qubit controlled gates and discuss potential applications that can leverage the advantages of the hybrid system. Our scheme provides a practical framework for an internal qubit-boson qubit hybrid system.

25 pages, 20 figures, 3 tables

References in corpus (41)

• A variational eigenvalue solver on a quantum processor
• Circuit Quantum Electrodynamics: Coherent Coupling of a Single Photon to a Cooper Pair Box
• Review article: Linear optical quantum computing
• Circuit-centric quantum classifiers
• Parallel implementation of high-fidelity multi-qubit gates with neutral atoms
• Ion-trap measurements of electric-field noise near surfaces
• Experimental Test of Quantum Jarzynski Equality with a Trapped Ion System
• Encoding a qubit in a trapped-ion mechanical oscillator
• Entanglement and Tunable Spin-Spin Couplings Between Trapped Ions Using Multiple Transverse Modes
• Implementing a Universal Gate Set on a Logical Qubit Encoded in an Oscillator
• Tracking Photon Jumps with Repeated Quantum Non-Demolition Parity Measurements
• Natural two-qubit gate for quantum computation using the XY interaction
• Single-photon quantum nondemolition detectors constructed with linear optics and projective measurements
• Computational advantage of quantum random sampling
• Multi-bit gates for quantum computing
• A CNOT gate between multiphoton qubits encoded in two cavities
• Sideband Transitions and Two-Tone Spectroscopy of a Superconducting Qubit Strongly Coupled to an On-Chip Cavity
• Spin-motion entanglement and state diagnosis with squeezed oscillator wavepackets
• Experimental Preparation of High NOON States for Phonons
• High-fidelity Two-qubit Gates Using a MEMS-based Beam Steering System for Individual Qubit Addressing
• High-fidelity measurement of qubits encoded in multilevel superconducting circuits
• Phonon-phonon interactions due to non-linear effects in a linear ion trap
• Quantum simulation of molecular spectroscopy in trapped-ion device
• Erasure qubits: Overcoming the $T_1$ limit in superconducting circuits
• Dual-rail encoding with superconducting cavities
• Realization of near-deterministic arithmetic operations and quantum state engineering
• Demonstrating a long-coherence dual-rail erasure qubit using tunable transmons
• Hybrid quantum computation gate with trapped ion system
• $N$-body interactions between trapped ion qubits via spin-dependent squeezing
• Scalable and Programmable Phononic Network with Trapped Ions
• High-fidelity parametric beamsplitting with a parity-protected converter
• Quantum computation and simulation with vibrational modes of trapped ions
• Universal non-adiabatic control of small-gap superconducting qubits
• Vacuum Measurements and Quantum State Reconstruction of Phonons
• Robust and Deterministic Preparation of Bosonic Logical States in a Trapped Ion
• Semiconductor-inspired design principles for superconducting quantum computing
• Motional heating of spatially extended ion crystals
• Exact sampling hardness of Ising spin models
• The phase diagram of quantum chromodynamics in one dimension on a quantum computer
• Logical multi-qubit entanglement with dual-rail superconducting qubits
• Simulating spin dynamics with quantum computers