Deutsch, Toffoli, and CNOT Gates via Rydberg Blockade of Neutral Atoms

Abstract

Universal quantum gates and quantum error correction~(QEC) lie in the heart of quantum information science. Large-scale quantum computing depends on a universal set of quantum gates, in which some gates may be easily carried out, while others are hard with a certain physical system. There is a unique three-qubit quantum gate called the Deutsch gate~[$\mathbb{D}(\theta )$], from which alone a circuit can be constructed so that any feasible quantum computing is attainable. As far as we know, however, $\mathbb{D}(\theta )$ has not been demonstrated. Here we design an easily realizable $\mathbb{D}(\theta )$ by using Rydberg blockade of neutral atoms, where $\theta$ can be tuned to any value in $[0,\pi ]$ by adjusting the strengths of external control fields. Using similar protocols, we further show that both the Toffoli and CNOT gates can be achieved with only three laser pulses. The Toffoli gate, being universal for classical reversible computing, is also useful for QEC that plays an important role in quantum communication and fault-tolerant quantum computation. The possibility and briefness to realize these gates shed new light on the study of quantum information with neutral atoms.

Letter & Editors' Suggestion; Including 8 pages (with Supplemental Material), 5 figures

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• Single-step implementation of high fidelity $n$-bit Toffoli gate
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• Realization of efficient quantum gates with a superconducting qubit-qutrit circuit
• Demonstration of a Quantum Gate using Electromagnetically Induced Transparency
• Asymmetric blockade and multi-qubit gates via dipole-dipole interactions
• Optimized Geometric Quantum Computation with mesoscopic ensemble of Rydberg Atoms
• Fast three-qubit Toffoli quantum gate based on the three-body Förster resonances in Rydberg atoms
• Resilient quantum gates on periodically driven Rydberg atoms
• Fast, Accurate, and Realizable Two-Qubit Entangling Gates by Quantum Interference in Detuned Rabi Cycles of Rydberg Atoms
• Protocol for a resonantly-driven three-qubit Toffoli gate with silicon spin qubits
• Doppler-resilient ground-Rydberg transition and its application in high-fidelity entangling gates with neutral atoms
• Suppress motional dephasing of ground-Rydberg transition for high-fidelity quantum control with neutral atoms
• Application of adiabatic passage in Rydberg atomic ensembles for quantum information processing
• Single temporal-pulse-modulated parameterized controlled-phase gate for Rydberg atoms
• Unselective ground-state blockade of Rydberg atoms for implementing quantum gates
• Reducing the amount of single-qubit rotations in VQE and related algorithms
• Quantum-brachistochrone approach to the conversion from $W$ to Greenberger-Horne-Zeilinger states for Rydberg-atom qubits
• Dynamical generation of chiral $W$ and Greenberger-Horne-Zeilinger states in laser-controlled Rydberg-atom trimers
• Transition Slow-Down by Rydberg Interaction of Neutral Atoms and a Fast Controlled-NOT Quantum Gate
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• Fast measurements and multiqubit gates in dual species atomic arrays
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• Simulation of a feedback-based algorithm for quantum optimization for a realistic neutral atom system with an optimized small-angle controlled-phase gate
• Realization of a fast triple-magic all-optical qutrit in strontium-88
• Two-qubit atomic gates: Spatio-temporal control of Rydberg interaction
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• The long mean-life-time-controlled and potentially scalable qubits composed of electric dipolar molecules based on graphene
• Hamilton-Jacobi-Bellman equations for Rydberg-blockade processes
• Rydberg wire gates for universal quantum computation
• Splitting of the three-body Förster resonance in Rb Rydberg atoms as a measure of dipole-dipole interaction strength
• Coherent excitation of three-atom entangled states near a two-body Förster resonance
• High-fidelity multiqubit Rydberg gates via two-photon adiabatic rapid passage