Parallel implementation of CNOT${}^N$ and C${}_2$NOT${}^2$ gates via homonuclear and heteronuclear Förster interactions of Rydberg atoms

Abstract

We analyze schemes of high-fidelity multiqubit CNOT${}^N$ and C${}_2$NOT${}^2$ gates for alkali-metal neutral atoms used as qubits. These schemes are based on the electromagnetically induced transparency and Rydberg blockade, as proposed by M. Müller et al. [PRL 102, 170502 (2009)]. In the original paper, the fidelity of multi-qubit CNOT${}^{\text{N}}$ gate based on Rydberg blockade was limited by the undesirable interaction between the target atoms, and by the coupling laser intensity. We propose overcoming these limits by using strong heteronuclear dipole-dipole interactions via Förster resonances for control and target atoms, while the target atoms are coupled by weaker van der Waals interaction. We have optimized the gate performance in order to achieve higher fidelity, while keeping coupling laser intensity as small as possible in order to improve the experimental feasibility of the gate schemes. We also considered optimization of schemes of C${}_2$NOT${}^2$ gates, where the fidelity is affected by the relation between the control-control, control-target and target-target interaction energies. Our numeric simulations confirm that the fidelity of CNOT${}^4$ gate (single control and four target atoms) can be up to $99.3\%$ and the fidelity of C${}_2$NOT${}^2$ (two control and two target atoms) is up to $99.7\%$ for the conditions which are experimentally feasible.

15 pages, 13 figures. Supplementary datasets are available from here: https://doi.org/10.5281/zenodo.8154008

References in corpus (46)

• Supplementary information for "Quantum supremacy using a programmable superconducting processor"
• Quantum secret sharing
• Quantum information with Rydberg atoms
• Dipole Blockade and Quantum Information Processing in Mesoscopic Atomic Ensembles
• Fast quantum gates for neutral atoms
• Strong quantum computational advantage using a superconducting quantum processor
• Many-Body Physics with Individually-Controlled Rydberg Atoms
• Quantum Phases of Matter on a 256-Atom Programmable Quantum Simulator
• Observation of Rydberg blockade between two atoms
• A Rydberg Quantum Simulator
• Demonstration of a neutral atom controlled-NOT quantum gate
• Observation of collective excitation of two individual atoms in the Rydberg blockade regime
• Programmable quantum simulation of 2D antiferromagnets with hundreds of Rydberg atoms
• Parallel implementation of high-fidelity multi-qubit gates with neutral atoms
• Demonstration of multi-qubit entanglement and algorithms on a programmable neutral atom quantum computer
• Ultracold dense samples of dipolar RbCs molecules in the rovibrational and hyperfine ground state
• High-fidelity parallel entangling gates on a neutral atom quantum computer
• Cooperative optical non-linearity due to dipolar interactions in an ultra-cold Rydberg ensemble
• Cooperative atom-light interaction in a blockaded Rydberg ensemble
• Creation of ultracold ${}^{87}$RbCs molecules in the rovibrational ground state
• ARC: An open-source library for calculating properties of alkali Rydberg atoms
• Phase-Programmable Gaussian Boson Sampling Using Stimulated Squeezed Light
• Quantum simulation and computing with Rydberg-interacting qubits
• Rydberg mediated entanglement in a two-dimensional neutral atom qubit array
• Consequences of Zeeman Degeneracy for van der Waals Blockade between Rydberg Atoms
• Mesoscopic Rydberg Gate based on Electromagnetically Induced Transparency
• Single-Photon Switch based on Rydberg Blockade
• Analysis of a quantum logic device based on dipole-dipole interactions of optically trapped Rydberg atoms
• Entangling two atoms of different isotopes via Rydberg blockade
• Tutorial: Calculation of Rydberg interaction potentials
• Observation of the Stark-tuned Forster resonance between two Rydberg atoms
• Fast multi-qubit gates by adiabatic evolution in interacting excited state manifolds
• Enhancement of Rydberg-mediated single-photon nonlinearities by electrically tuned Förster Resonances
• Rydberg blockade, Förster resonances, and quantum state measurements with different atomic species
• Ultracold mixtures of atomic Li-6 and Cs-133 with tunable interactions
• High fidelity entanglement of neutral atoms via a Rydberg-mediated single-modulated-pulse controlled-PHASE gate
• Defect-free arbitrary-geometry assembly of mixed-species atom arrays
• Asymmetric blockade and multi-qubit gates via dipole-dipole interactions
• Demonstration of a Quantum Gate using Electromagnetically Induced Transparency
• A blueprint for fault-tolerant quantum computation with Rydberg atoms
• Adiabatic passage of radiofrequency-assisted Forster resonances in Rydberg atoms for two-qubit gates and generation of Bell states
• Observation of Rydberg blockade due to the charge-dipole interaction between an atom and a polar molecule
• Observation of the Borromean three-body Förster resonances for three interacting Rb Rydberg atoms
• Dipole-dipole interaction driven antiblockade of two Rydberg atoms
• Unselective ground-state blockade of Rydberg atoms for implementing quantum gates
• Study of the 5p3/2 -> 6p3/2 electric dipole forbidden transition in atomic rubidium using optical-optical double resonance spectroscopy

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