Quantum computing with atomic qubits and Rydberg interactions: Progress and challenges

Abstract

We present a review of quantum computation with neutral atom qubits. After an overview of architectural options and approaches to preparing large qubit arrays we examine Rydberg mediated gate protocols and fidelity for two- and multi-qubit interactions. Quantum simulation and Rydberg dressing are alternatives to circuit based quantum computing for exploring many body quantum dynamics. We review the properties of the dressing interaction and provide a quantitative figure of merit for the complexity of the coherent dynamics that can be accessed with dressing. We conclude with a summary of the current status and an outlook for future progress.

updated references, additional material on Rydberg dressing, 10 figures

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• Single Qudit Control in ${}^{87}$Sr via Optical Nuclear Electric Resonance
• Physical swap dynamics, shortcuts to relaxation and entropy production in dissipative Rydberg gases
• Qualifying quantum approaches for hard industrial optimization problems. A case study in the field of smart-charging of electric vehicles
• Describing Trotterized Time Evolutions on Noisy Quantum Computers via Static Effective Lindbladians
• Autler-Townes spectroscopy of a Rydberg ladder
• Dense dipole-dipole-coupled two-level systems in a thermal bath
• Magic trapping of a Rydberg ion with a diminished static polarizability
• Surface excitation of Rydberg dressed quantum droplet of Bose-Einstein Condensates
• A versatile apparatus for simultaneous trapping of multiple species of ultracold atoms and ions to enable studies of low energy collisions and cold chemistry
• Quantum error correction in a time-dependent transverse field Ising model
• Apparatus for Optical-Atomic System Integration & Calibration: 1 atm to 1$\times$10${}^{-11}$ Torr in 24h
• Mitigating Errors in Analog Quantum Simulation by Hamiltonian Reshaping or Hamiltonian Rescaling
• Quantum memory assisted observable estimation
• In situ magnetic-field stabilization for quantum-gas experiments
• Accelerated Rydberg electromagnetically induced transparency quantum memory via shortcuts to adiabaticity
• Quantum annealing and condensed matter physics
• Engineering the non-Hermitian Su-Schrieffer-Heeger model with skin effects in Rydberg atom arrays
• The Virtual Quantum Device (VQD): A tool for detailed emulation of quantum computers
• Spatially encoded light for Large-alphabet Quantum Key Distribution
• Pontryagin Maximum Principle for Rydberg-blockaded state-to-state transfers: A semi-analytic approach
• Symmetric $C_Z$ gate for ultracold neutral atoms based on counterdiabatic driving at Rydberg excitation
• Exploiting Long-Distance Interactions and Tolerating Atom Loss in Neutral Atom Quantum Architectures
• Ultracold high-spin $\Sigma$-state polar molecules for new physics searches
• Spatial Leggett-Garg inequalities
• Programmable order by disorder effect and underlying phases through dipolar quantum simulators
• Suppressing crosstalk for Rydberg quantum gates
• Turquoise Magic Wavelength of the ${}^{87}$Sr Clock Transition
• Designing gate operations for single ion quantum computing in rare-earth-ion-doped crystals
• Ptychographic estimation of pure multiqubit states in a quantum device