Experimental issues in coherent quantum-state manipulation of trapped atomic ions

Abstract

Methods for, and limitations to, the generation of entangled states of trapped atomic ions are examined. As much as possible, state manipulations are described in terms of quantum logic operations since the conditional dynamics implicit in quantum logic is central to the creation of entanglement. Keeping with current interest, some experimental issues in the proposal for trapped-ion quantum computation by I. Cirac and P. Zoller (University of Innsbruck) are discussed. Several possible decoherence mechanisms are examined and what may be the more important of these are identified. Some potential applications for entangled states of trapped-ions which lie outside the immediate realm of quantum computation are also discussed.

Replaced with smaller PDF file. Version accepted for publication. 115 pages text + 13 figures. To be published in Journal of Research of the National Institute of Standards and Technology. PDF and PostScript available at http://www.bldrdoc.gov/timefreq/ion/qucomp/papers.htm

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• Dual trapped-ion quantum simulators: an alternative route towards exotic quantum magnets
• Fast quantum logic gates with trapped ions interacting with external laser and quantized cavity field beyond the Lamb-Dicke regime
• Relativistic and non-relativistic quantum Brownian motion in an anisotropic dissipative medium
• Phase-coherent detection of an optical dipole force by Doppler velocimetry
• Compact Toroidal Ion Trap Design and Optimization
• Individual addressing of trapped ion qubits with geometric phase gates
• Time Ordering in Kicked Qubits
• Dynamics of an Acoustic Black Hole as an Open Quantum System
• Generalized Hamiltonian to describe imperfections in ion-light interaction
• Characterizing and mitigating coherent errors in a trapped ion quantum processor using hidden inverses
• Heating rate measurement and characterization of a prototype surface-electrode trap for optical frequency metrology
• Schrödinger cat and Werner state disentanglement simulated by trapped ion systems
• Motional Squashed States
• Action scales for quantum decoherence and their relation to structures in phase space
• Freely configurable quantum simulator based on a two-dimensional array of individually trapped ions
• Self-consistent tomography of temporally correlated errors
• Multi-ion sensing of dipolar noise sources in ion traps
• A Raman approach to quantum logic in Calcium-like ions
• Sideband Rabi spectroscopy of finite-temperature trapped Bose gases
• Scalable Ion Trap Quantum Computing without Moving Ions
• Determining Reaction Pathways at Low Temperatures by Isotopic Substitution: The Case of BeD+ + H2O
• Geometric phase gates in dissipative quantum dynamics
• Production of Fock Mixtures in Trapped Ions for Motional Metrology
• Quantum logic spectroscopy with ions in thermal motion
• Toward simulating quantum field theories with controlled phonon-ion dynamics: A hybrid analog-digital approach
• Linear atomic quantum coupler
• Quantum Computers and Decoherence: Exorcising the Demon from the Machine
• Measuring the mean value of vibrational observables in trapped ion systems
• Robust phase-controlled gates for scalable atomic quantum processors using optical standing waves
• Dynamics of an Ion Coupled to a Parametric Superconducting Circuit
• Quantum Phase Transitions in a Linear Ion Trap
• Unresolved sideband photon recoil spectroscopy of molecular ions
• Magnetic field fluctuations analysis for the ion trap implementation of the quantum Rabi model in the the deep strong coupling regime
• Heisenberg scaling of imaging resolution by coherent enhancement
• Transport of charged particles by adjusting rf voltage amplitudes
• Decoherence and robustness of parity-dependent entanglement in the dynamics of a trapped ion
• Probing Majorana Modes via Local Spin Dynamics
• Cold ion beam in a storage ring as a platform for large-scale quantum computers and simulators: challenges and directions for research and development
• Quantum computing hardware in the cloud: Should a computational chemist care?
• Analogue quantum simulation of superradiance and subradiance in trapped-ions
• Coarse grained and fine dynamics in trapped ion Raman schemes
• Improving trapped-ion-qubit memories via code-mediated error-channel balancing
• A simplified Mølmer-Sørensen gate for the trapped ion quantum computer
• NOON states in trapped ions
• Bitwise Bell inequality violations for an entangled state involving 2N ions
• Ultrafast infrared spectroscopy with single molecular ions
• Measurement-based ground state cooling of a trapped ion oscillator
• Sudden switching in qubits
• The local detection method: Dynamical detection of quantum discord with local operations
• A particle in equilibrium with a bath realizes worldline supersymmetry
• Exact solution of the ion-laser interaction in all regimes
• Time-dependent Hamiltonian estimation for Doppler velocimetry of trapped ions
• Evaluating states in trapped ions with local correlation between internal and motional degrees of freedom
• Realization of a space reversal operator
• Driven Spin-Boson Luttinger Liquids
• Dynamics of tripartite entanglement
• Single-particle quantum tunneling in ionic traps
• Aspects of a Two-Level Atom in Squeezed Displaced Fock States
• Decoherence of tripartite states - a trapped ion coupled to an optical cavity
• Trapped ions beyond carrier and sideband interactions
• Trapped Ion Quantum Computer Research at Los Alamos
• Engineering $\mathrm{SU}(1,1)\otimes \mathrm{SU}(1,1)$ vibrational states
• Non-equilibrium properties of trapped ions under sudden application of a laser
• Insensitivity of Ion Motional Heating Rate to Trap Material over a Large Temperature Range
• Dirac bi-spinor entanglement under local noise and its simulation by Jaynes-Cummings interactions
• Governing dynamics by squeezing in a system of cold trapped ions
• Experimental Quantum Computation with Nuclear Spins in Liquid Solution
• Temporal imperfections building up correcting codes
• Time optimal holonomic quantum computation
• Doubly-ionized lanthanum as a qubit candidate for quantum networks
• Perturbative Treatment of the Evolution Operator Associated with Raman Couplings
• Generation of quasi-rectangle-states of the vibrational motion of an ion
• Surface science motivated by heating of trapped ions from the quantum ground state
• Revealing non-classical behaviours in the oscillatory motion of a trapped ion
• Quantum Learning Algorithms and Post-Quantum Cryptography
• Unitarily manipulating in time and space a Gaussian wave-packet motional state of a single atom in a quadratic potential field
• Schrödinger cat states of a macroscopic charged particle co-trapped with an ion
• Unitary manipulation of a single atom in time and space --- The spatially-selective and internal-state-selective triggering pulses
• Non-Markovian Analysis of the Phase Damped Jaynes-Cummings Model in the Presence of a Classical Homogeneous Gravitational Field
• Tunable transverse spin-motion coupling for quantum information processing
• Surface-induced decoherence and heating of charged particles
• Performance of a deterministic source of entangled photonic qubits
• Scalable, efficient ion-photon coupling with phase Fresnel lenses for large-scale quantum computing