Optimizing Rydberg Gates for Logical Qubit Performance

Abstract

Robust gate sequences are widely used to reduce the sensitivity of gate operations to experimental imperfections. Typically, the optimization minimizes the average gate error, however, recent work in quantum error correction has demonstrated that the performance of encoded logical qubits is sensitive to not only the average error rate, but also the type of errors that occur. Here, we present a family of Rydberg blockade gates for neutral atom qubits that are robust against two common, major imperfections: intensity inhomogeneity and Doppler shifts. These gates outperform existing gates for moderate or large imperfections. We also consider the logical performance of these gates in the context of an erasure-biased qubit based on metastable ${}^{171}$Yb. In this case, we observe that the robust gates outperform existing gates for even very small values of the imperfections, because they maintain the native large bias towards erasure errors for these qubits. These results significantly reduce the laser stability and atomic temperature requirements to achieve fault-tolerant quantum computing with neutral atoms. The approach of optimizing gates for logical qubit performance may be applied to other qubit platforms.

arXiv commentv3: Added discussion of AC-Stark shifts; v2: Updated references

References in corpus (52)

• Many-Body Physics with Ultracold Gases
• Quantum information with Rydberg atoms
• Fast quantum gates for neutral atoms
• Many-Body Physics with Individually-Controlled Rydberg Atoms
• An atom-by-atom assembler of defect-free arbitrary 2d atomic arrays
• Training Schrödinger's cat: quantum optimal control
• Entanglement of two individual neutral atoms using Rydberg blockade
• Realizing Repeated Quantum Error Correction in a Distance-Three Surface Code
• Quantum computing with atomic qubits and Rydberg interactions: Progress and challenges
• Parallel implementation of high-fidelity multi-qubit gates with neutral atoms
• Demonstration of the trapped-ion quantum-CCD computer architecture
• Nanophotonic quantum phase switch with a single atom
• Synthetic three-dimensional atomic structures assembled atom by atom
• Demonstration of multi-qubit entanglement and algorithms on a programmable neutral atom quantum computer
• Quantum computing with neutral atoms
• The Kerr-Cat Qubit: Stabilization, Readout, and Gates
• High-fidelity control and entanglement of Rydberg atom qubits
• High-Fidelity Entanglement and Detection of Alkaline-Earth Rydberg Atoms
• Quantum simulation and computing with Rydberg-interacting qubits
• Realization of an Error-Correcting Surface Code with Superconducting Qubits
• Fidelity of quantum operations
• Demonstration of fault-tolerant universal quantum gate operations
• Rydberg mediated entanglement in a two-dimensional neutral atom qubit array
• Cooling a single atom in an optical tweezer to its quantum ground state
• The XZZX Surface Code
• Exponential suppression of bit-flips in a qubit encoded in an oscillator
• Coherence and Raman sideband cooling of a single atom in an optical tweezer
• Fault-tolerant operation of a logical qubit in a diamond quantum processor
• Alkaline earth atoms in optical tweezers
• Erasure conversion for fault-tolerant quantum computing in alkaline earth Rydberg atom arrays
• Analysis of imperfections in the coherent optical excitation of single atoms to Rydberg states
• Microscopic control and detection of ultracold strontium in optical-tweezer arrays
• Fault-tolerant quantum computation against biased noise
• Bias-preserving gates with stabilized cat qubits
• Analysis of dephasing mechanisms in a standing wave dipole trap
• Defect-free assembly of 2D clusters of more than 100 single-atom quantum systems
• Assessing the progress of trapped-ion processors towards fault-tolerant quantum computation
• Ytterbium nuclear-spin qubits in an optical tweezer array
• Thresholds for topological codes in the presence of loss
• Universal gate operations on nuclear spin qubits in an optical tweezer array of ${}^{171}$Yb atoms
• Long-lived Bell states in an array of optical clock qubits
• Robustness of high-fidelity Rydberg gates with single-site addressability
• High-fidelity Rydberg-blockade entangling gate using shaped, analytic pulses
• Symmetric Rydberg controlled-Z gates with adiabatic pulses
• High fidelity entanglement of neutral atoms via a Rydberg-mediated single-modulated-pulse controlled-PHASE gate
• Robust Mølmer-Sørensen gate for neutral atoms using rapid adiabatic Rydberg dressing
• Photon recoil and laser focusing limits to Rydberg gate fidelity
• Two-qubit controlled-PHASE Rydberg blockade gate protocol for neutral atoms via off-resonant modulated driving within a single pulse
• Construction of robust Rydberg controlled-phase gates
• Protocols for Rydberg entangling gates featuring robustness against quasi-static errors
• Nondestructive cooling of an atomic quantum register via state-insensitive Rydberg interactions
• Time-Optimal Two- and Three-Qubit Gates for Rydberg Atoms

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• Multi-qubit gates and Schrödinger cat states in an optical clock
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• A universal neutral-atom quantum computer with individual optical addressing and non-destructive readout
• Robust control and optimal Rydberg states for neutral atom two-qubit gates
• Protocols for Rydberg entangling gates featuring robustness against quasi-static errors
• Computational Capabilities and Compiler Development for Neutral Atom Quantum Processors: Connecting Tool Developers and Hardware Experts
• Scalable Networking of Neutral-Atom Qubits: Nanofiber-Based Approach for Multiprocessor Fault-Tolerant Quantum Computer
• A scaled local gate controller for optically addressed qubits
• High-rate quantum LDPC codes for long-range-connected neutral atom registers
• Architecture for fast implementation of qLDPC codes with optimized Rydberg gates
• Robust Quantum Gates against Correlated Noise in Integrated Quantum Chips
• Neutral atom entanglement using adiabatic Rydberg dressing
• Entangling quantum logic gates in neutral atoms via the microwave-driven spin-flip blockade
• Fast entangling gates for Rydberg atoms via resonant dipole-dipole interaction
• High-fidelity and robust controlled-Z gates implemented with Rydberg atoms via echoing rapid adiabatic passage
• Recapture Probability for anti-trapped Rydberg states in optical tweezers
• The iSWAP gate with polar molecules: Robustness criteria for entangling operations
• Qubit fidelity under stochastic Schrödinger equations driven by colored noise
• Long-range $CC\Phi$ gates via radio-frequency-induced Förster resonances
• Fast nuclear-spin entangling gates compatible with large-scale atomic arrays
• Logical qubits with erasure conversion using metastable neutral atoms
• Multi-Qubit Parity Gates for Rydberg Atoms in Various Configurations
• Quantum low-density parity-check codes for erasure-biased atomic quantum processors
• Dynamical spatial light modulation in the ultraviolet spectral range
• Hamilton-Jacobi-Bellman equations for Rydberg-blockade processes
• Low-depth quantum error correction via three-qubit gates in Rydberg atom arrays
• Barium-based Rydberg atom quantum technologies with long Rydberg coherence
• Inertial geometric quantum logic gates
• Multiqubit Rydberg Gates for Quantum Error Correction
• Engineering the non-Hermitian Su-Schrieffer-Heeger model with skin effects in Rydberg atom arrays
• Robust and Parallel Control of Many Qubits
• Symmetric $C_Z$ gate for ultracold neutral atoms based on counterdiabatic driving at Rydberg excitation
• Pontryagin Maximum Principle for Rydberg-blockaded state-to-state transfers: A semi-analytic approach
• High-efficiency loading of 2,400 Ytterbium atoms in optical tweezer arrays