Hybrid quantum computation gate with trapped ion system

Abstract

The hybrid approach to quantum computation simultaneously utilizes both discrete and continuous variables which offers the advantage of higher density encoding and processing powers for the same physical resources. Trapped ions, with discrete internal states and motional modes which can be described by continuous variables in an infinite dimensional Hilbert space, offer a natural platform for this approach. A nonlinear gate for universal quantum computing can be implemented with the conditional beam splitter Hamiltonian $|e⟩⟨e|(a^{†}b+a{b}^{†})$ that swaps the quantum states of two motional modes, depending on the ion's internal state. We realize such a gate and demonstrate its applications for quantum state overlap measurements, single-shot parity measurement, and generation of NOON states.

arXiv comment10 pages, 7 figures

References in corpus (41)

• Quantum Computing in the NISQ era and beyond
• Quantum Machine Learning
• Quantum information with continuous variables
• Quantum algorithm for solving linear systems of equations
• Surface codes: Towards practical large-scale quantum computation
• Encoding a qubit in an oscillator
• Experimental issues in coherent quantum-state manipulation of trapped atomic ions
• Quantum principal component analysis
• Trapped-Ion Quantum Computing: Progress and Challenges
• Quantum fingerprinting
• Quantum computation over continuous variables
• Super-resolving phase measurements with a multi-photon entangled state
• Beating the Standard Quantum Limit with Four Entangled Photons
• Demonstration of a small programmable quantum computer with atomic qubits
• Elucidating Reaction Mechanisms on Quantum Computers
• Experimental Comparison of Two Quantum Computing Architectures
• Realization of a scalable Shor algorithm
• Manipulation and Detection of a Trapped Yb+ Ion Hyperfine Qubit
• Hybrid quantum information processing
• Encoding a qubit in a trapped-ion mechanical oscillator
• The creation of large photon-number path entanglement conditioned on photodetection
• Variational quantum algorithms for discovering Hamiltonian spectra
• A quantum Fredkin gate
• Entanglement of Atomic Qubits using an Optical Frequency Comb
• Entangling Bosonic Modes via an Engineered Exchange Interaction
• Measuring the Renyi entropy of a two-site Fermi-Hubbard model on a trapped ion quantum computer
• A device for feasible fidelity, purity, Hilbert-Schmidt distance and entanglement witness measurements
• Quantum machine learning over infinite dimensions
• Experimental Preparation of High NOON States for Phonons
• Nonlinear coupling of continuous variables at the single quantum level
• Quantum simulation of molecular spectroscopy in trapped-ion device
• A quantum parametric oscillator with trapped ions
• Universal Quantum Computing with Arbitrary Continuous-Variable Encoding
• Cross-Kerr nonlinearity for phonon counting
• Continuous-variable and hybrid quantum gates
• 3D Sisyphus Cooling of Trapped Ions
• Optimal manipulations with qubits: Universal quantum entanglers
• Quantum Simulations with a Trilinear Hamiltonian
• Continuous variables quantum computation over the vibrational modes of a single trapped ion
• Microwave control of trapped-ion motion assisted by a running optical lattice
• Modular Quantum Computation in a Trapped Ion System

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• Implementing any Linear Combination of Unitaries on Intermediate-term Quantum Computers
• Seeking a quantum advantage with trapped-ion quantum simulations of condensed-phase chemical dynamics
• Optimized Steering: Quantum State Engineering and Exceptional Points
• Quantum non-Gaussianity of multi-phonon states of a single atom
• Universal hybrid quantum computing in trapped ions
• Hybrid Oscillator-Qubit Quantum Processors: Instruction Set Architectures, Abstract Machine Models, and Applications
• Selected topics of quantum computing for nuclear physics
• Continuous-variable assisted thermal quantum simulation
• Nonclassicality detection from few Fock-state probabilities
• Fault-tolerant quantum computation by hybrid qubits with bosonic cat-code and single photons
• Coherent coupling and non-destructive measurement of trapped-ion mechanical oscillators
• Entangling Schrödinger's cat states by bridging discrete- and continuous-variable encoding
• Quantum Gaussian filter for exploring ground-state properties
• Temperature estimation of an entangled pair of trapped ions
• Creation of Two-Mode Squeezed States in Atomic Mechanical Oscillators
• Determination of Multi-mode Motional Quantum States in a Trapped Ion System
• Experimental Realization of Entangled Coherent States in Two-dimensional Harmonic Oscillators of a Trapped Ion
• Synthetic ${\mathbb{Z}}_2$ gauge theories based on parametric excitations of trapped ions
• Two-qubit operations for finite-energy Gottesman-Kitaev-Preskill encodings
• Thermally induced entanglement of atomic oscillators
• Phase-space negativity as a computational resource for quantum kernel methods
• Ancilla-Error-Transparent Controlled Beam Splitter Gate
• Coherence-based operational nonclassicality criteria
• Quantum parameter estimation of nonlinear coupling in trilinear Hamiltonian with trapped ions
• Sculpting bosonic states with arithmetic subtractions
• Inverse iteration quantum eigensolvers assisted with a continuous variable
• Qumode transfer between continuous and discrete variable devices
• Two-Mode Bosonic State Tomography with Single-Shot Joint-Parity Measurement of a Trapped Ion
• Gaussian states in quantum field theory: Exact representations of relative phase in superpositions of Gaussian states
• Topological stabilizer models on continuous variables
• Phase-Space Topology in a Single-Atom Synthetic Dimension
• Witnessing genuine multipartite entanglement in phase space with controlled Gaussian unitaries
• ZX Graphical Calculus for Continuous-Variable Quantum Processes
• Swap-test interferometry with biased ancilla noise
• Laser-free method for creation of two-mode squeezed state and beam-splitter transformation with trapped ions
• Doubling Qubits in a Trapped-Ion System via Vibrational Dual-Rail Encoding
• Robust entanglement buffers based on SWAP interactions