Toward hybrid quantum simulations with qubits and qumodes on trapped-ion platforms

Abstract

We explore the feasibility of gate-based hybrid quantum computing using both discrete (qubit) and continuous (qumode) variables on trapped-ion platforms. Trapped-ion systems have demonstrated record one- and two-qubit gate fidelities and long qubit coherence times, while qumodes, which can be represented by the collective vibrational modes of the ion chain, have remained relatively unexplored for their use in computing. Using numerical simulations, we show that high-fidelity hybrid gates and measurement operations can be achieved for existing trapped-ion quantum platforms. As an exemplary application, we consider quantum simulations of the Jaynes-Cummings-Hubbard model, which is given by a one-dimensional chain of interacting spin and boson degrees of freedom. Using classical simulations, we study its real-time evolution and develop a suitable variational quantum algorithm for ground state preparation. Our results motivate further studies of hybrid quantum computing in this context, which may lead to direct applications in condensed matter and fundamental particle and nuclear physics.

23 pages, 12 figures

References in corpus (66)

• Noisy intermediate-scale quantum (NISQ) algorithms
• The Variational Quantum Eigensolver: a review of methods and best practices
• Quantum phase transitions of light
• Photon blockade induced Mott transitions and XY spin models in coupled cavity arrays
• Suppressing Charge Noise Decoherence in Superconducting Charge Qubits
• Manipulation and Detection of a Trapped Yb+ Ion Hyperfine Qubit
• Training variational quantum algorithms is NP-hard
• Single ion-qubit exceeding one hour coherence time
• One-Way Quantum Computing in the Optical Frequency Comb
• Diagnosing Barren Plateaus with Tools from Quantum Optimal Control
• A Lie Algebraic Theory of Barren Plateaus for Deep Parameterized Quantum Circuits
• Ground state preparation and energy estimation on early fault-tolerant quantum computers via quantum eigenvalue transformation of unitary matrices
• Mesoscopic Spin-Boson Models of Trapped Ions
• Strong coupling theory for the Jaynes-Cummings-Hubbard model
• Quantum simulation of non-equilibrium dynamics and thermalization in the Schwinger model
• $\text{omg}$ Blueprint for trapped ion quantum computing with metastable states
• Resolution of 100 photons and quantum generation of unbiased random numbers
• Continuous variable quantum computation with spatial degrees of freedom of photons
• Nonlinear coupling of continuous variables at the single quantum level
• Provably accurate simulation of gauge theories and bosonic systems
• Single-particle digitization strategy for quantum computation of a ${\varphi }^4$ scalar field theory
• The Adjoint Is All You Need: Characterizing Barren Plateaus in Quantum Ansätze
• Realizing coherently convertible dual-type qubits with the same ion species
• Quantum phases of interacting phonons in ion traps
• Real-time non-perturbative dynamics of jet production: quantum entanglement and vacuum modification
• Fermion-qudit quantum processors for simulating lattice gauge theories with matter
• Scalable and Programmable Phononic Network with Trapped Ions
• Partonic collinear structure by quantum computing
• Simulating 2D lattice gauge theories on a qudit quantum computer
• A proposal for a scalable universal bosonic simulator using individually trapped ions
• Classically emulated digital quantum simulation for screening and confinement in the Schwinger model with a topological term
• General quantum algorithms for Hamiltonian simulation with applications to a non-Abelian lattice gauge theory
• Wigner, Husimi and GTMD distributions in the Color Glass Condensate
• High-Energy Collision of Quarks and Mesons in the Schwinger Model: From Tensor Networks to Circuit QED
• Quantum Imaginary Time Evolution Algorithm for Quantum Field Theories with Continuous Variables
• Theory of Cross Phase Modulation for the Vibrational Modes of Trapped Ions
• Engineering the Quantum Scientific Computing Open User Testbed (QSCOUT): Design details and user guide
• Programmable quantum simulations of bosonic systems with trapped ions
• Quantum computation and simulation with vibrational modes of trapped ions
• Robust and Deterministic Preparation of Bosonic Logical States in a Trapped Ion
• Localization of phonons in ion traps with controlled quantum disorder
• Quantum Rabi dynamics of trapped atoms far in the deep strong coupling regime
• Erasure-cooling, control, and hyper-entanglement of motion in optical tweezers
• Observation of Non-Markovian Spin Dynamics in a Jaynes-Cummings-Hubbard Model using a Trapped-Ion Quantum Simulator
• Projection algorithm for state preparation on quantum computers
• Universal hybrid quantum computing in trapped ions
• Sachdev-Ye-Kitaev model on a noisy quantum computer
• Qu8its for Quantum Simulations of Lattice Quantum Chromodynamics
• Quantum simulation of entanglement and hadronization in jet production: lessons from the massive Schwinger model
• Towards Improved Quantum Simulations and Sensing with Trapped 2D Ion Crystals via Parametric Amplification
• Simulating quantum field theories on continuous-variable quantum computers
• Exploring the CP-violating Dashen phase in the Schwinger model with tensor networks
• Quasiparton distributions in massive QED2: Toward quantum computation
• Simulating ${\mathbb{Z}}_2$ Lattice Gauge Theory with the Variational Quantum Thermalizer
• Coherent coupling and non-destructive measurement of trapped-ion mechanical oscillators
• Experimental quantum channel discrimination using metastable states of a trapped ion
• Coherence properties of highly-excited motional states of a trapped ion
• Towards a Quantum Simulation of Nonlinear Sigma Models with a Topological Term
• Bosonic Quantum Error Correction with Neutral Atoms in Optical Dipole Traps
• Determination of Multi-mode Motional Quantum States in a Trapped Ion System
• Quantum Computing for Energy Correlators
• Continuous variable quantum computation of the $O(3)$ model in 1+1 dimensions
• Exact block encoding of imaginary time evolution with universal quantum neural networks
• Qumode transfer between continuous and discrete variable devices
• Exploring thermal equilibria of the Fermi-Hubbard model with variational quantum algorithms
• A note on the emission spectrum and trapping states in the Jaynes-Cummings model

Cited by in corpus (6)

• Hybrid Oscillator-Qubit Quantum Processors: Instruction Set Architectures, Abstract Machine Models, and Applications
• Simulating Vibrational Dynamics on Bosonic Quantum Devices
• Quantum dynamics of cosmological particle production: interacting quantum field theories with matrix product states
• QuGrav: Bringing gravitational waves to light with Qumodes
• Simulating electronic structure on bosonic quantum computers
• Co-Designing Spectral Transformation Oracles with Hybrid Oscillator-Qubit Quantum Processors: From Algorithms to Compilation