Universal Quantum Computation in Globally Driven Rydberg Atom Arrays

Abstract

We develop a model for quantum computation with Rydberg atom arrays, which only relies on global driving, without the need of local addressing of the qubits: any circuit is executed by a sequence of global, resonant laser pulses on a static atomic arrangement. We present two constructions: for the first, the circuit is imprinted in the trap positions of the atoms and executed by the pulses; for the second, the atom arrangement is circuit-independent, and the algorithm is entirely encoded in the global driving sequence. Our results show in particular that a quadratic overhead in atom number is sufficient to eliminate the need for local control to realize a universal quantum processor. We give explicit protocols for all steps of an arbitrary quantum computation, and discuss strategies for error suppression specific to our model. Our scheme is based on dual-species processors with atoms subjected to Rydberg blockade constraints, but it might be transposed to other setups as well.

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• A dual-species Rydberg array
• Rydberg superatoms: An artificial quantum system for quantum information processing and quantum optics
• Quantum adiabatic optimization with Rydberg arrays: localization phenomena and encoding strategies
• Interspecies Förster resonances of Rb-Cs Rydberg $d$-states for enhanced multi-qubit gate fidelities
• Unraveling PXP Many-Body Scars through Floquet Dynamics
• Globally driven superconducting quantum computing architecture
• Universal quantum processors in spin systems via robust local pulse sequences
• A Universal Circuit Set Using the $S_3$ Quantum Double
• Space-time correlations in monitored kinetically constrained discrete-time quantum dynamics
• Hamilton-Jacobi-Bellman equations for Rydberg-blockade processes
• Machine-learning-inspired quantum control in many-body dynamics
• Atom Cavity Encoding for NP-Complete Problems
• Generation of quantum phases of matter and finding a maximum-weight independent set of unit-disk graphs using Rydberg atoms
• Overcoming disorder in superconducting globally driven quantum computing
• Reciprocal Floquet thermalization in one-dimensional Rydberg atom array
• Building globally controlled quantum processors with ZZ interactions
• Pontryagin Maximum Principle for Rydberg-blockaded state-to-state transfers: A semi-analytic approach
• Qudit encoding in Rydberg blockaded arrays of atoms
• Robust and Parallel Control of Many Qubits
• Spin amplification in realistic systems