Quantum simulation and computing with Rydberg-interacting qubits

Abstract

Arrays of optically trapped atoms excited to Rydberg states have recently emerged as a competitive physical platform for quantum simulation and computing, where high-fidelity state preparation and readout, quantum logic gates and controlled quantum dynamics of more than 100 qubits have all been demonstrated. These systems are now approaching the point where reliable quantum computations with hundreds of qubits and realistically thousands of multiqubit gates with low error rates should be within reach for the first time. In this article we give an overview of the Rydberg quantum toolbox, emphasizing the high degree of flexibility for encoding qubits, performing quantum operations and engineering quantum many-body Hamiltonians. We then review the state-of-the-art concerning high-fidelity quantum operations and logic gates as well as quantum simulations in many-body regimes. Finally, we discuss computing schemes that are particularly suited to the Rydberg platform and some of the remaining challenges on the road to general purpose quantum simulators and quantum computers.

This review article has been submitted the journal AVS Quantum Science

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• Simulation of chiral motion of excitation within the ground-state manifolds of neutral atoms
• Gauge effects in bound-bound Rydberg-transition matrix elements
• Quantum low-density parity-check codes for erasure-biased atomic quantum processors
• Plaquette valence bond state in spin-1/2 J1-J2 XY model on square lattice
• Microscopic dynamics and an effective Landau-Zener transition in the quasi-adiabatic preparation of spatially ordered states of Rydberg excitations
• Dynamical spatial light modulation in the ultraviolet spectral range
• Unconditionally separating noisy ${\mathsf{QNC}}^0$ from bounded polynomial threshold circuits of constant depth
• Quantum simulations of complex systems
• Optimized readout strategies for neutral atom quantum processors
• Barium-based Rydberg atom quantum technologies with long Rydberg coherence
• Surface criticality in the mixed-field Ising model with sign-inverted next-nearest-neighbor interaction
• Digital Quantum Simulation of Scalar Yukawa Coupling
• Autoionization-enhanced Rydberg dressing by fast contaminant removal
• Quantum evolution kernel : Machine learning on graphs with programmable arrays of qubits
• Inertial geometric quantum logic gates
• Comparison of Atom Detection Algorithms for Neutral Atom Quantum Computing
• Time-Optimal Two- and Three-Qubit Gates for Rydberg Atoms
• Non-local resources for error correction in quantum LDPC codes
• Predicting fermionic densities using a Projected Quantum Kernel method
• Lindblad-like quantum tomography for non-Markovian quantum dynamical maps
• Supersymmetry dynamics on Rydberg atom arrays
• Mitigating Errors in Analog Quantum Simulation by Hamiltonian Reshaping or Hamiltonian Rescaling
• Locating Rydberg Decay Error in SWAP-Leakage Reduction Circuit Protocol
• Consensus-based qubit configuration optimization for variational algorithms on neutral atom quantum systems
• Graph Coloring via Quantum Optimization on a Rydberg-Qudit Atom Array
• Nonequilibrium Critical Scaling of a Squeezing Phase Transition
• Reciprocal Floquet thermalization in one-dimensional Rydberg atom array
• Quantum fidelity kernel with a trapped-ion simulation platform
• Quantum error correction in a time-dependent transverse field Ising model
• Tailoring interaction ranges in atom arrays
• Autler-Townes spectroscopy of a Rydberg ladder
• High-fidelity multiqubit Rydberg gates via two-photon adiabatic rapid passage
• Multiqubit Rydberg Gates for Quantum Error Correction
• Harnessing a 256-qubit Neutral Atom Simulator for Graph Classification
• Model-Based Real-Time Synthesis of Acousto-Optically Generated Laser-Beam Patterns and Tweezer Arrays
• Surface excitation of Rydberg dressed quantum droplet of Bose-Einstein Condensates
• Optimal sampling of tensor networks targeting wave function's fast decaying tails
• Bulk and Boundary Quantum Phase Transitions in a Square Rydberg Atom Array
• $\Lambda$-Enhanced Gray Molasses Cooling of ${}^{85}$Rb Atoms in Tweezers Using the D${}_2$ Line
• All-to-all connectivity of Rydberg-atom-based quantum processors with messenger qubits
• Quantum criticality and factorization in a constrained Rydberg spin chain
• Ultracold atomic lattice systems for simulating topological phases: A review
• Astigmatism-free 3D Optical Tweezer Control for Rapid Atom Rearrangement
• Qudit encoding in Rydberg blockaded arrays of atoms
• Symmetric $C_Z$ gate for ultracold neutral atoms based on counterdiabatic driving at Rydberg excitation
• Non-destructive optical read-out and manipulation of circular Rydberg atoms
• Generalized pulse design in Floquet engineering: Application to interacting spin systems
• Attributed-graphs kernel implementation using local detuning of neutral-atoms Rydberg Hamiltonian
• Quantum spin liquids bootstrapped from Ising criticality in Rydberg arrays
• Learning mixed quantum states in large-scale experiments
• Observation of effects of inter-atomic interaction on Autler-Townes splitting in cold Rydberg atoms
• The Virtual Quantum Device (VQD): A tool for detailed emulation of quantum computers
• Evolutionary reduction of the laser noise impact on quantum gates
• Quantum Supercritical Crossover with Dynamical Singularity
• Automated Graph-Based Detection of Quantum Control Schemes: Application to Molecular Laser Cooling
• A quantum wire approach to weighted combinatorial graph optimisation problems
• Pontryagin Maximum Principle for Rydberg-blockaded state-to-state transfers: A semi-analytic approach
• Density and pseudo-spin rotons in a bilayer of soft-core bosons
• Higgs and Nambu-Goldstone modes in a spin-1 $XY$ model with long-range interactions
• Entanglement-enhanced correlation propagation in the one-dimensional SU($N$) Fermi-Hubbard model
• Doped resonating-valence-bond states: Robustness of the spin-ice phases in three-dimensional Rydberg arrays