A concise review of Rydberg atom based quantum computation and quantum simulation

Abstract

Quantum information processing based on Rydberg atoms emerged as a promising direction two decades ago. Recent experimental and theoretical progresses have shined exciting light on this avenue. In this concise review, we will briefly introduce the basics of Rydberg atoms and their recent applications in associated areas of neutral atom quantum computation and simulation. We shall also include related discussions on quantum optics with Rydberg atomic ensembles, which are increasingly used to explore quantum computation and quantum simulation with photons.

arXiv commentThis review briefly summarizes recent progresses on Rydberg atom-based quantum computation and quantum simulation

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• Entangling two atoms of different isotopes via Rydberg blockade
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• An omniscient Maxwell's demon
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• Full counting statistics and phase diagram of a dissipative Rydberg gas
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• Cooling and entangling ultracold atoms in optical lattices
• Supersolid Vortex Crystals in Rydberg-dressed Bose-Einstein Condensates
• Ultracold atom-electron interaction: from two to many-body physics
• Out-of-equilibrium structures in strongly interacting Rydberg gases with dissipation
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• Emerging 2D Gauge theories in Rydberg configurable arrays
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• Detailed Balance of Thermalization dynamics in Rydberg atom quantum simulators
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• Driving Rydberg-Rydberg transitions from a co-planar microwave waveguide
• Two-Stage Melting in Systems of Strongly Interacting Rydberg Atoms
• High-fidelity Rydberg-blockade entangling gate using shaped, analytic pulses
• Electromagnetically Induced Transparency in strongly interacting Rydberg Gases
• Complex density wave orders and quantum phase transitions in a model of square-lattice Rydberg atom arrays
• Dissipative Many-body Quantum Optics in Rydberg Media
• Ultracold Rydberg Molecules
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• Signatures of Self-Organised Criticality in an Ultracold Atomic Gas
• Symmetric Rydberg controlled-Z gates with adiabatic pulses
• Scattering resonances and bound states for strongly interacting Rydberg polaritons
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• A Coherent Quantum Annealer with Rydberg Atoms
• Rydberg-Atom Quantum Simulation and Chern Number Characterization of a Topological Mott Insulator
• Relaxation of an isolated dipolar-interacting Rydberg quantum spin system
• Absorbing state phase transition with competing quantum and classical fluctuations
• Realization of a density-dependent Peierls phase in a synthetic, spin-orbit coupled Rydberg system
• Experimental observation of controllable kinetic constraints in a cold atomic gas
• Parallel low-loss measurement of multiple atomic qubits
• Antiferromagnetic long-range order in dissipative Rydberg lattices
• Quantum gates in mesoscopic atomic ensembles based on adiabatic passage and Rydberg blockade
• Newton's cradle and entanglement transport in a flexible Rydberg chain
• High Fidelity Single-qubit Gates of a Single Neutral Atom in the Magic-Intensity Optical Dipole Trap
• Observation of a resonant four-body interaction in cold cesium Rydberg atoms
• Robust Mølmer-Sørensen gate for neutral atoms using rapid adiabatic Rydberg dressing
• Adiabatic quantum computation with Rydberg-dressed atoms
• Non-adiabatic motional effects and dissipative blockade for Rydberg atoms excited from optical lattices or microtraps
• Cluster Luttinger Liquids of Rydberg-dressed Atoms in Optical Lattices
• Coupling ultracold atoms to a superconducting coplanar waveguide resonator
• Fast non-destructive parallel readout of neutral atom registers in optical potentials
• Coulomb bound states of strongly interacting photons
• Deutsch, Toffoli, and CNOT Gates via Rydberg Blockade of Neutral Atoms
• Direct observation of ultrafast many-body electron dynamics in an ultracold Rydberg gas
• A crossed vortex bottle beam trap for single-atom qubits
• Quantum gas microscopy of Rydberg macrodimers
• Accurate mapping of multilevel Rydberg atoms on interacting spin-$1/2$ particles for the quantum simulation of Ising models
• Photonic Controlled-Phase Gates Through Rydberg Blockade in Optical Cavities
• Unitary and non-unitary quantum cellular automata with Rydberg arrays
• On-demand indistinguishable single photons from an efficient and pure source based on a Rydberg ensemble
• Liquid ground state, gap and excited states of a strongly correlated spin chain
• Quantum simulation of energy transport with embedded Rydberg aggregates
• Digital Quantum Simulation with Rydberg Atoms
• Two-dimensional Rydberg gases and the quantum hard squares model
• Experimental signatures of an absorbing-state phase transition in an open driven many-body quantum system
• Topological bands with Chern number C=2 by dipolar exchange interactions
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• Laser Trapping of Circular Rydberg Atoms
• Stern-Gerlach detection of neutral atom qubits in a state dependent optical lattice
• Two-qubit gates using adiabatic passage of the Stark-tuned Förster resonances in Rydberg atoms
• Driven-dissipative many-body systems with mixed power-law interactions: Bistabilities and temperature-driven non-equilibrium phase transitions
• Coherence preservation of a single neutral atom qubit transferred between magic-intensity optical traps
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• Excitation transport through Rydberg dressing
• Storing single photons emitted by a quantum memory on a highly excited Rydberg state
• Resonant Rydberg Dressing of Alkaline-Earth Atoms via Electromagnetically Induced Transparency
• Fermionic collective excitations in a lattice gas of Rydberg atoms
• Intrinsic Optical Bistability in a Strongly-Driven Rydberg Ensemble
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• Controlling the interactions of a few cold Rb Rydberg atoms by radiofrequency-assisted Förster resonances
• Realization of a Rydberg-dressed Ramsey interferometer and electrometer
• Magnetic-film atom chip with 10 $\mu$m period lattices of microtraps for quantum information science with Rydberg atoms
• Coherent transfer between low-angular momentum and circular Rydberg states
• Programmable Quantum Annealing Architectures with Ising Quantum Wires
• Improved error thresholds for measurement-free error correction
• Superglass phase of interaction-blockaded gases on a triangular lattice
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• Charge-induced optical bistability in thermal Rydberg vapor
• Observation of three-body correlations for photons coupled to a Rydberg superatom
• Robust Rydberg gate via Landau-Zener control of Förster resonance
• Many-body physics of Rydberg dark-state polaritons in the strongly interacting regime
• Quantum and Nonlinear Optics in Strongly Interacting Atomic Ensembles
• Coupling Rydberg atoms to microwave fields in a superconducting coplanar waveguide resonator
• Microwave control of Rydberg atom interactions
• Non-equilibrium universality in the dynamics of dissipative cold atomic gases
• Hong-Ou-Mandel Interference between Two Deterministic Collective Excitations in an Atomic Ensemble
• Correlated photon dynamics in dissipative Rydberg media
• Nonadiabatic holonomic quantum computation with Rydberg superatoms
• Robust site-resolved quantum gates in an optical lattice via inhomogeneous control
• Effective Field Theory for Rydberg Polaritons
• Low-entropy states of neutral atoms in polarization-synthesized optical lattices
• Periodically Driven Array of Single Rydberg Atoms
• Rydberg-interaction gates via adiabatic passage and phase control of driving fields
• Construction of robust Rydberg controlled-phase gates
• Coherent versus incoherent excitation dynamics in dissipative many-body Rydberg systems
• Vibrational dressing in Kinetically Constrained Rydberg Spin Systems
• Non-equilibrium phase transitions in $(1+1)$-dimensional quantum cellular automata with controllable quantum correlations
• Single-atom single-photon coupling facilitated by atomic-ensemble dark-state mechanisms
• Deterministic free-space source of single photons using Rydberg atoms
• Ultrafast quantum random access memory utilizing single Rydberg atoms in a Bose-Einstein condensate
• Three-body interaction of Rydberg slow light polaritons
• Topologically protected edge states in small Rydberg systems
• Coherent photon manipulation in interacting atomic ensembles
• Induced cavities for photonic quantum gates
• Supersolidity of lattice Bosons immersed in strongly correlated Rydberg dressed atoms
• Semi-Deterministic Entanglement between a Single Photon and an Atomic Ensemble
• Ultrafast creation of overlapping Rydberg electrons in an atomic BEC and Mott-insulator lattice
• Non-equilibrium absorbing state phase transitions in discrete-time quantum dynamics
• Quantum Transport of Rydberg Excitons with Synthetic Spin-Exchange Interactions
• Annulled van der Waals interaction and fast Rydberg quantum gates
• Creation and transfer of non-classical states of motion using Rydberg dressing of atoms in a lattice
• Rydberg excitation of cold atoms inside a hollow core fiber
• Reducing the sensitivity of Rydberg atoms to dc electric fields using two-frequency ac field dressing
• Efimov States of Strongly Interacting Photons
• Uncovering the non-equilibrium phase structure of an open quantum spin system
• Emergent devil's staircase without particle-hole symmetry in Rydberg quantum gases with competing attractive and repulsive interactions
• Quench dynamics of Rydberg-dressed bosons on two-dimensional square lattices
• Epidemic dynamics in open quantum spin systems
• Photon propagation through dissipative Rydberg media at large input rates
• Many-body decoherence dynamics and optimised operation of a single-photon switch
• Nondestructive cooling of an atomic quantum register via state-insensitive Rydberg interactions
• Polariton Exchange Interactions in Multichannel Optical Networks
• Seeded excitation avalanches in off-resonantly driven Rydberg gases
• Analysis of quantum interface between Rydberg-blocked atomic ensemble and cavity optical field with two-photon transition
• Fractional quantum Hall phases of bosons with tunable interactions: From the Laughlin liquid to a fractional Wigner crystal
• Photon Subtraction by Many-Body Decoherence
• Non-adiabatic quantum state preparation and quantum state transport in chains of Rydberg atoms
• Mobile bound states of Rydberg excitations in a lattice
• Balanced Coherence Times of Mixed-Species Atomic Qubits in a Dual $3\times 3$ Magic-Intensity Optical Dipole Trap Array
• Two-body interactions and decay of three-level Rydberg-dressed atoms
• Trapped Rydberg ions: a new platform for quantum information processing
• Observation of many-body dynamics of Rydberg atoms based on antiblockade using two-color excitation
• Adiabatic and high-fidelity quantum gates with hybrid Rydberg-Rydberg interactions
• Coherence of the Borromean three-body Förster resonances in Rydberg atoms
• Diffusive to non-ergodic dipolar transport in a dissipative atomic medium
• Quantum Spin Lenses in Atomic Arrays
• Dynamical phases in a one-dimensional chain of Heterospecies Rydberg atoms with next-nearest neighbor interactions
• Atom-Photon Spin-Exchange Collisions Mediated by Rydberg Dressing
• Many-body dynamics of holes in a driven, dissipative spin chain of Rydberg superatoms
• Rydberg atoms based creation of N particle GHZ state using STIRAP
• Multiparticle interactions for ultracold atoms in optical tweezers: Cyclic ring-exchange terms
• Quench dynamics of a dissipative Rydberg gas in the classical and quantum regime
• Transport on flexible Rydberg aggregates using circular states
• Manipulating photonic quantum states with long-range interactions
• Exotic photonic molecules via Lennard-Jones-like potentials

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• Computational Capabilities and Compiler Development for Neutral Atom Quantum Processors: Connecting Tool Developers and Hardware Experts
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• Theoretical methods to design and test quantum simulators for the compact Abelian Higgs model
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• Nonlinear Rydberg exciton-polaritons in Cu${}_2$O microcavities
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• Fast, high precision dynamics in quantum optimal control theory
• Narrow-line cooling of ${}^{87}$Rb using 5S${}_{1/2}\to$ 6P${}_{3/2}$ open transition at 420 nm
• Hyperentanglement of divalent neutral atoms by Rydberg blockade
• Quantum spin ice in three-dimensional Rydberg atom arrays
• Non-Markovian feedback for optimized quantum error correction
• General conditions for universality of Quantum Hamiltonians
• Quantum defects of $n$F${}_J$ levels of Cs Rydberg atoms
• Quantum gates with weak van der Waals interactions of neutral Rydberg atoms
• Dynamics of correlation spreading in low-dimensional transverse-field Ising models
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• Agents for self-driving laboratories applied to quantum computing
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• Beyond Energy: Teleporting Current, Charge, and More
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• Diagnosing Quantum Many-body Chaos in Non-Hermitian Quantum Spin Chain via Krylov Complexity
• Ab-initio tree-tensor-network digital twin for quantum computer benchmarking in 2D
• A Rydberg-atom approach to the integer factorization problem
• Interaction-Enhanced Superradiance of a Ryderg-Atom Array
• High-fidelity and robust controlled-Z gates implemented with Rydberg atoms via echoing rapid adiabatic passage
• Inferring interpretable dynamical generators of local quantum observables from projective measurements through machine learning
• Recapture Probability for anti-trapped Rydberg states in optical tweezers
• Hamiltonian learning for 300 trapped ion qubits with long-range couplings
• Long-range $CC\Phi$ gates via radio-frequency-induced Förster resonances
• Boundary Time Crystals Induced by Local Dissipation and Long-Range Interactions
• Comprehensive characterization of an apparatus for cold electromagnetic dysprosium dipoles
• Relativistic Ritz approach to hydrogen-like atoms I: theoretical considerations
• Enhancing Dynamic Range of Sub-Quantum-Limit Measurements via Quantum Deamplification
• Breaking and trapping Cooper pairs by Rydberg-molecule spectroscopy in atomic Fermi superfluids
• Tuning excitation transport in a dissipative Rydberg ring
• Quantum Simulation of the First-Quantized Pauli-Fierz Hamiltonian
• Finite-temperature Rydberg arrays: quantum phases and entanglement characterization
• Harnessing Nth Root Gates for Energy Storage
• Bose-Einstein condensate as a diagnostic tool for an optical lattice formed by 1064 nm laser light
• Fast nuclear-spin gates and electrons-nuclei entanglement of neutral atoms in weak magnetic fields
• Preparation of ultra-cold atomic-ensemble arrays using time-multiplexed optical tweezers
• Error-budgeting for a controlled-phase gate with strontium-88 Rydberg atoms
• Approximating maximum independent set on Rydberg atom arrays using local detunings
• Variational manifolds for ground states and scarred dynamics of blockade-constrained spin models on two and three dimensional lattices
• Magnetization Plateaus in the Two-dimensional S = 1/2 Heisenberg Model with a 3$\times$3 Checkerboard Structure
• Unifying non-Markovian characterisation with an efficient and self-consistent framework
• Mitigating noise of residual electric fields for single Rydberg atoms with electron photodesorption
• Multithreaded parallelism for heterogeneous clusters of QPUs
• Unravelling the Structures in the van der Waals Interactions of Alkali Rydberg Atoms
• Simulation of chiral motion of excitation within the ground-state manifolds of neutral atoms
• Fast nuclear-spin entangling gates compatible with large-scale atomic arrays
• Characterizing the Many Body Localization Crossover as a Metal-Insulator Transition: Localization length from Polarization and Quantum Metric
• Quantum evolution kernel : Machine learning on graphs with programmable arrays of qubits
• Discrete time crystals enhanced by Stark potentials in Rydberg atom arrays
• Surface criticality in the mixed-field Ising model with sign-inverted next-nearest-neighbor interaction
• Geometric phase and multipartite entanglement of Rydberg atom chains
• Supersymmetry dynamics on Rydberg atom arrays
• Tunable two-species spin models with Rydberg atoms in circular and elliptical states
• Optimized readout strategies for neutral atom quantum processors
• Predicting fermionic densities using a Projected Quantum Kernel method
• Quantum correlations versus spin magnitude: Transition to the classical limit
• Forces on alkali Rydberg atoms due to non-linearly polarized light
• Fast spin squeezing by distance-selective long-range interactions with Rydberg molecule dressing
• Barium-based Rydberg atom quantum technologies with long Rydberg coherence
• Tailoring interaction ranges in atom arrays
• Quantum Hamiltonian Algorithms for Maximum Independent Sets
• Locating Rydberg Decay Error in SWAP-Leakage Reduction Circuit Protocol
• Autler-Townes spectroscopy of a Rydberg ladder
• Reciprocal Floquet thermalization in one-dimensional Rydberg atom array
• Toward Quantum Analog Simulation of Many-Body Supersymmetry with Rydberg Atom Arrays
• Quantum error correction in a time-dependent transverse field Ising model
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