Quantum computing with trapped ions

Abstract

Quantum computers hold the promise to solve certain computational task much more efficiently than classical computers. We review the recent experimental advancements towards a quantum computer with trapped ions. In particular, various implementations of qubits, quantum gates and some key experiments are discussed. Furthermore, we review some implementations of quantum algorithms such as a deterministic teleportation of quantum information and an error correction scheme.

Review article, accepted for publication in Physics Reports, 99pages, 38 Figures, ~2 MByte

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• Tomography scheme for two spin-1/2 qubits in a double quantum dot
• Ion chains in high-finesse cavities
• Coherence properties of highly-excited motional states of a trapped ion
• Reducing Computational Complexity of Quantum Correlations
• Targeting pure quantum states by strong noncommutative dissipation
• Generating and protecting correlated quantum states under collective dephasing
• Dual quantum-correlation paradigms exhibit opposite statistical-mechanical properties
• Multipath interference from large trapped ion chains
• One-shot conclusive multiport quantum dense coding capacities
• Thermal Fluctuations Enhance Order-from-Disorder of Quantum Correlations in Quenched Disordered Spin Models
• Coherent dynamics of a photon-dressed qubit
• Simulation of Quantum Magnetism in Mixed Spin Systems with Impurity Doped Ion Crystal
• Constructive Interference Between Disordered Couplings Enhances Multiparty Entanglement in Quantum Heisenberg Spin Glass Models
• Minimal instances for toric code ground states
• Quantum probe spectroscopy for cold atomic systems
• Compensating for non-linear distortions in controlled quantum systems
• Universal Continuous Variable Quantum Computation Without Cooling
• Optimal electron propagation on a quantum chain by a topological phase
• Arbitrary digital pulse sequence generator with delay-loop timing
• Fast entangling gates in long ion chains
• Entanglement entropy of the long-range Dyson hierarchical model
• Trapped ion emulation of electric dipole moment of neutral relativistic particles
• Quasienergy operators and generalized squeezed states for systems of trapped ions
• Noisy quantum amplitude estimation without noise estimation
• Entangling gates for trapped-ion quantum computation and quantum simulation
• Fast multi-qubit global-entangling gates without individual addressing of trapped ions
• Multi-GHz repetition rate, multi-watt average power, ultraviolet laser pulses for fast trapped-ion entanglement operations
• Realization of programmable Ising models in a trapped-ion quantum simulator
• Adaptive Rotating-Wave Approximation for Driven Open Quantum Systems
• Photon-mediated charge-exchange reactions between 39K atoms and 40Ca+ ions in a hybrid trap
• Designing refrigerators in higher dimensions using quantum spin models
• Two-color photoionization of calcium using SHG and LED light
• Asymmetric Quantum Concatenated and Tensor Product Codes with Large Z-Distances
• Pure circularly polarized light emission from waveguide microring resonators
• Ion Trap with In-Vacuum High Numerical Aperture Imaging for a Dual-Species Modular Quantum Computer
• Universal quantum computing with thermal state bosonic systems
• Feedback-Optimized Operations with Linear Ion Crystals
• Experimental realization of para-particle oscillators
• Polynomial Reduction Methods and their Impact on QAOA Circuits
• Entanglement Measures in Ion-Trap Quantum Simulators without Full Tomography
• Dark-State-Induced Heat Rectification
• Efficient decoupling of a non-linear qubit mode from its environment
• Iterative Phase Optimisation of Elementary Quantum Error Correcting Codes
• Survival of time-evolved correlations depends on whether quenching is across critical point in XY spin chain
• Hybrid Microwave Radiation Patterns for High-Fidelity Quantum Gates with Trapped Ions
• Topological Qubits with Majorana Fermions in Trapped Ions
• Experimental demonstration of teleportation-based programmable quantum gate
• Ideal Multipole Ion Traps from Planar Ring Electrodes
• Design of a Surface Trap for Freely Rotating Ion Ring Crystals
• Photoionisation loading of large Sr+ ion clouds with ultrafast pulses
• Generation of arbitrary symmetric entangled states with conditional linear optical coupling
• Implementation of local and high-fidelity quantum conditional phase gates in a scalable two-dimensional ion trap
• Spatially-resolved potential measurement with ion crystals
• Environment-Protected Solid State Based Distributed Charge Qubit
• Angle-dependent magic wavelengths for the $4s_{1/2}\to 3d_{5/2,3/2}$ transitions of Ca${}^{+}$ ions
• Full decoherence induced by local fields in open spin chains with strong boundary couplings
• Measuring the temperature and heating rate of a single ion by imaging
• Dynamics of vortex defect formation in two dimensional Coulomb crystals
• Predicting topological quantum phase transition from dynamics via multisite entanglement
• Quantum Error Mitigation via Quantum-Noise-Effect Circuit Groups
• Low-temperature environments for quantum computation and quantum simulation
• Rephasing efficiency of sequences of phased pulses in spin-echo and light-storage experiments
• The Munich Quantum Software Stack: Connecting End Users, Integrating Diverse Quantum Technologies, Accelerating HPC
• Mitigating controller noise in quantum gates using optimal control theory
• Shared Purity of Multipartite Quantum States
• Entangling operations in nonlinear two-atom Tavis-Cummings models
• Rating the performance of noisy teleportation using fluctuations in fidelity
• Rapid laser-free ion cooling by controlled collision
• Proposal for a transmon-based quantum router
• Genuine non-Gaussian entanglement of light and quantum coherence for an atom from noisy multiphoton spin-boson interactions
• Ability of Markovian Master Equations to Model Quantum Computers and Other Systems Under Broadband Control
• Villain model with long-range couplings
• Quantum gate in the decoherence-free subspace of trapped ion qubits
• Determination of quantum defect for the Rydberg P series of Ca II
• Continuous feedback protocols for cooling and trapping a quantum harmonic oscillator
• Optimal choice of state tomography quorum formed by projection operators
• Minimizing rf-induced excess micromotion of a trapped ion with the help of ultracold atoms
• Phase-adaptive dynamical decoupling methods for robust spin-spin dynamics in trapped ions
• Spin dynamics under the influence of elliptically rotating fields: Extracting the field topology from time-averaged quantities
• Orbital and electronic entanglement in quantum teleportation schemes
• Emergence of entanglement with temperature and time in factorization-surface states
• Individual addressing of trapped ion qubits with geometric phase gates
• Reconstructing the ideal results of a perturbed analog quantum simulator
• Quadrupole transitions and quantum gates protected by continuous dynamic decoupling
• A planar cloverleaf antenna for the creation of circularly polarized microwave fields
• A quantum algorithm for solving 0-1 Knapsack problems
• Fidelity-dissipation relations in quantum gates
• Correction Formulas for the Mølmer-Sørensen Gate Under Strong Driving
• Additive Manufacturing of functionalised atomic vapour cells for next-generation quantum technologies
• Universal Counterdiabatic Driving
• Dynamical enhancement of spatial entanglement in massive particles
• Linear Mode-Mixing of Phonons with Trapped Ions
• Enhancing a Near-Term Quantum Accelerator's Instruction Set Architecture for Materials Science Applications
• Low-excitation transport and separation of high-mass-ratio mixed-species ion chains
• Schrödinger cat and Werner state disentanglement simulated by trapped ion systems
• Quantum error correction for long chains of trapped ions
• Quantum Dynamics Simulation of the Advection-Diffusion Equation
• Evolutionary algorithm to design high-cooperativity optical cavities
• Stabilizing coherence with nested environments: a numerical study using kicked Ising models
• Quadrature interferometry for nonequilibrium ultracold bosons in optical lattices
• Entanglement dynamics of two nitrogen vacancy centers coupled by a nanomechanical resonator
• Perturbative approach to the dynamics of a trapped ion interacting with a light field
• A Fully Fiber-Integrated Ion Trap for Portable Optical Atomic Clocks
• Three-state coherent control using narrowband and passband sequences
• Probing Polariton Dynamics in Trapped Ions with Phase-Coherent Two-Dimensional Spectroscopy
• Read-out of Quasi-periodic Systems using Qubits
• Bespoke Pulse Design for Robust Rapid Two-Qubit Gates with Trapped Ions
• Rebuilding of destroyed spin squeezing in noisy environments
• Universality class and exact phase boundary in the superradiant phase transition
• Delocalization and heat transport in multidimensional trapped ion systems
• Superconducting Quantum Simulation for Many-Body Physics beyond Equilibrium
• Rate-equation approach for multi-level quantum systems
• Quantum parameter estimation of nonlinear coupling in trilinear Hamiltonian with trapped ions
• Generalized Phase-Space Techniques to Explore Quantum Phase Transitions in Critical Quantum Spin Systems
• The superconducting circuit companion -- an introduction with worked examples
• Stabilization of Discrete Time-Crystaline Response on a Superconducting Quantum Computer by increasing the Interaction Range
• Properties of phonon modes of ion trap quantum computer in the Aubry phase
• Femtosecond laser written waveguides in sapphire for visible light delivery
• Frequency stabilization of a 650 nm laser to I${}_2$ spectrum for trapped ${}^{138}$Ba${}^{+}$ ions
• Time and spatial parity operations with trapped ions
• Precise many-body calculations and hyperfine interaction effect on dynamic polarizabilities at the low-lying energy levels of Y${}^{2+}$
• Quantum gates implementations in the separated ion-traps by fast laser pulses
• Estimating the error of an analog quantum simulator by additional measurements
• Characterizing the width of entanglement
• Structured quantum search in NP-complete problems using the cumulative density of states
• Macroscopic Schrödinger Cat Resistant to Particle Loss and Local Decoherence
• Single-laser-pulse implementation of arbitrary ZYZ rotations of an atomic qubit
• Initial-state-dependent quantum speed limit for dissipative state preparation: Framework and optimization
• Dephasing-tolerant quantum sensing for transverse magnetic fields with spin qudits
• Ergodicity from Nonergodicity in Quantum Correlations of Low-dimensional Spin Systems
• Micromotion minimisation by synchronous detection of parametrically excited motion
• Micromotion compensation of trapped ions by qubit transition and direct scanning of dc voltages
• Polarization selective Dove prism
• How efficient is transport of quantum cargo through multiple highways?
• Cold highly charged ions in a radio-frequency trap with superconducting magnetic shielding
• Interactions and charge transfer dynamics of an Al${}^{+}$ ion immersed in ultracold Rb and Sr atoms
• Quantum simulation of the Riemann-Hurwitz zeta function
• Quantum quenches of ion Coulomb crystals across structural instabilities II: thermal effects
• Decoherence: From Interpretation to Experiment
• Frequency stabilization of a 739 nm laser to an $I_2$ spectrum for trapped Ytterbium ions
• Generation of Spin Cat States in an Engineered Dicke Model
• Complementarity between decoherence and information retrieval from the environment
• Artificially intelligent Maxwell's demon for optimal control of open quantum systems
• Periodic quantum Rabi model with cold atoms at deep strong coupling
• Integrated-Photonics-Based Systems for Polarization-Gradient Cooling of Trapped Ions
• Collective Modes in the Cooperative Jahn-Teller Model: Path Integral Approach
• Engineering holography with stabilizer graph codes
• Fermionic quantum computation with Cooper pair splitters
• Precision Polarization Tuning for Light Shift Mitigation in Trapped-Ion Qubits
• Mapping generalized Jaynes-Cummings interaction into correlated finite-sized systems
• Enhancement of vibrationally assisted energy transfer by proximity to exceptional points, probed by fluorescence-detected vibrational spectroscopy
• Control and enhancement of interferometric coupling between two photonic qubits
• Heat-based circuits using quantum rectification
• Optically Controlled Entangling Gates in Randomly Doped Silicon
• Transport of charged particles by adjusting rf voltage amplitudes
• A new error-modeling of Hardy's paradox for superconducting qubits and its experimental verification
• Nuclear Electric Resonance for Spatially-Resolved Spin Control via Pulsed Optical Excitation in the UV-Visible Spectrum
• Assessing the potential of perfect screw dislocations in SiC for solid-state quantum technologies
• Quantum decoherence dynamics in stochastically fluctuating environments
• Novel radio-frequency ion trap with spherical geometry
• Simulation of the elementary evolution operator with the motional states of an ion in an anharmonic trap
• Thermal control across a chain of electronic nanocavities
• A simplified Mølmer-Sørensen gate for the trapped ion quantum computer
• Quantum computing hardware in the cloud: Should a computational chemist care?
• Probing Majorana Modes via Local Spin Dynamics
• Long-range Ising interactions mediated by $\lambda {\varphi }^4$ fields: probing the renormalisation of sound in crystals of trapped ions
• Correlations and pair emission in the escape dynamics of ions from one-dimensional traps
• Quantum simulation of weak-field light-matter interactions
• The qspec Python package: A physics toolbox for laser spectroscopy
• Robust two-dimensional subrecoil Raman cooling by adiabatic transfer in a tripod atomic system
• Quantized fields for optimal control in the strong coupling regime
• Simulating the Klein tunneling of pseudospin-one Maxwell particles with trapped ions
• Discrimination strategies for inequivalent classes of multipartite entangled states
• Estimating phase transition of perturbed J1-J2 Heisenberg quantum chain in mixtures of ground and first excited states
• Quantum simulation of the Weyl equation with a trapped ion
• Simulation of ion behavior in an open three-dimensional Paul trap using a power series method
• A continuously tunable modulation scheme for precision control of optical cavities with variable detuning
• The local detection method: Dynamical detection of quantum discord with local operations
• Leakage Benchmarking for Universal Gate Sets
• Cold, dense atomic ion clouds produced by cryogenic buffer gas cooling
• Quantum simulation of superexchange magnetism in linear ion crystals
• Measuring molecular electric dipoles using trapped atomic ions and ultrafast laser pulses
• Preparing pure ${}^{43}$Ca${}^{+}$ samples in an ion trap with photoionization and parametric excitations
• Adaptive Random Quantum Eigensolver
• Pointer States in the Born-Markov approximation
• Bilayer Ion Trap Design for 2D Arrays
• Dynamics of measurement-induced state transitions in superconducting qubits
• Quantum Software Ecosystem Design
• Ultrabroadband, ultranarrowband and ultrapassband composite polarisation half-wave plates, ultrabroadband composite polarisation pi-rotators and on the quantum-classical analogy
• The role of higher-order terms in trapped-ion quantum computing with magnetic gradient induced coupling
• Impact of micromotion and field-axis misalignment on the excitation of Rydberg states of ions in a Paul trap
• Distribution of entanglement with variable range interactions
• Entanglement witnesses mediated via axionLike particles
• Collective modes of a trapped ion-dipole system
• Unitary Transformations using Robust Optimal Control on a Cold Atom Qudit
• Probing electron spin dynamics in single telecom InAs(P)/InP quantum dots using the Hanle effect
• Phase Stabilization of a Frequency Comb using Multipulse Quantum Interferometry
• Incoherent-mediator for quantum state transfer in the ultrastrong coupling regime
• Quantum simulations of light-matter interactions in arbitrary coupling regimes
• Faithful quantum state transfer between weakly coupled qubits
• Experimental nonequilibrium memory erasure beyond Landauer's bound
• Microscopic quantum generalization of classical Liénard oscillators
• Entanglement of weighted graphs uncovers transitions in variable-range interacting models
• Quench Dynamics of Two Coupled Ionic Zig-Zag Chains
• Spin Phonon Relaxation Dynamics from a Conical Intersection of Trapped Rydberg Ions
• Broadband lasers for photo-ionization and repumping of trapped ions
• Lasing and counter-lasing phase transitions in a cavity QED system
• Laser-free method for creation of two-mode squeezed state and beam-splitter transformation with trapped ions
• Highly angular resolving beam separator based on total internal reflection
• A versatile apparatus for simultaneous trapping of multiple species of ultracold atoms and ions to enable studies of low energy collisions and cold chemistry
• Doubly-ionized lanthanum as a qubit candidate for quantum networks
• Quantum correlation generation capability of experimental processes
• Ion-Based Characterization of Laser Beam Profiles for Quantum Information Processing
• 3D-printed components for electron-ion trapping: Pre-experimental tests of functionality and ultra-high vacuum compatibility
• Arbitrary high-fidelity binomial codes from multiphoton spin-boson interactions
• Engineering Precise and Robust Effective Hamiltonians
• Adaptive random compiler for Hamiltonian simulation
• The Parity Flow Formalism: Tracking Quantum Information Throughout Computation
• Scalable universal quantum gates between nitrogen-vacancy centers in levitated nanodiamonds arrays
• Non-orbital particle trapping in binary black holes through dynamic stability
• Ion counting and temperature determination of Coulomb-crystallized laser-cooled ions in traps using convolutional neural networks
• Localised Systems in Relativistic Quantum Information
• An Error Model for the Cirac-Zoller CNOT gate
• $CdT{e}_{0.25}S{e}_{0.75}$ Quantum Dots as Efficient Room Temperature Single Photon Source for Quantum Technology
• Thermal transport through a single trapped ion under strong laser illumination
• Chains of benzenes with lithium-atom adsorption: Vibrations and spontaneous symmetry breaking
• Stabilization of $866$ nm laser with Pound-Drever-Hall (PDH) technique for quantum manipulation of Ca+ ion in Paul trap
• Experimental verification of the inertial theorem control protocols
• Perfect revivals of Rabi oscillations and hybrid Bell states in a trapped ion
• Strained Donor-Bound Excitons in ${}^{28}$Si
• Realization of Trapped Ion Dynamics in the Strong-Field Regime and Non-Markovianity
• Revealing effects of local dimension on variable-range interacting model by connecting Lieb-Robinson bounds and multipartite entanglement
• Zeeman Degenerate Sideband Cooling in ${}^{176}$Lu${}^{+}$
• The role of quantum superposition in a coupled interferometric system for macroscopic quantum feature generations
• Digital quantum simulation of squeezed states via enhanced bosonic encoding in a superconducting quantum processor
• A graphene edge-mediated quantum gate
• Measurements in QFT: Weakly coupled local particle detectors and entanglement harvesting
• An open-endcap blade trap for radial-2D ion crystals
• Quantum Learning Algorithms and Post-Quantum Cryptography
• Measuring entanglement without local addressing in quantum many-body simulators via spiral quantum state tomography
• Electric field dissociation of weakly bound molecular ions
• Geometric and holonomic quantum computation
• Ultra-Narrow Linewidth Brillouin Lasers with Nanokelvin Thermometry
• Topological Properties and Characterizations
• Quantum Uncertainty Dynamics
• From Quantum Optics to Quantum Technologies
• Two-qubit quantum Fourier transform and entanglement protected by circulant symmetry
• Realization of a chip-based hybrid trapping setup for ${}^{87}$Rb atoms and Yb${}^{+}$ Ion crystals
• Introduction to Physical Implementations of Quantum Information Processing
• Imperfect Entangling Power of Quantum Gates
• Single-ion phonon laser in the quantum regime
• Ion-Trap Chip Architecture Optimized for Implementation of Quantum Error-Correcting Code
• Nonclassicality of multi-photon-added cat states
• Endcap-Type Paul Trap for Precision Spectroscopy and Studies of Controlled Interactions
• Full quantum treatment of Rabi oscillation driven by a pulse train and its application in ion-trap quantum computation
• Systematic Construction of Time-Dependent Hamiltonians for Microwave-Driven Josephson Circuits
• Adaptable Route to Fast Coherent State Transport via Bang-Bang-Bang Protocols
• Ion crystals in anharmonic traps