Architecture for fast implementation of qLDPC codes with optimized Rydberg gates

Abstract

We propose an implementation of bivariate bicycle codes (Nature {\bf 627}, 778 (2024)) based on long-range Rydberg gates between stationary neutral atom qubits. An optimized layout of data and ancilla qubits reduces the maximum Euclidean communication distance needed for non-local parity check operators. An optimized Rydberg gate pulse design enables $\mathsf{CZ}$ entangling operations with fidelity $\mathcal{F}>0.999$ at a distance greater than $12\mu \mathrm{m}$. The combination of optimized layout and gate design leads to a quantum error correction cycle time of $\sim 1.28\mathrm{ms}$ for a $[[144,12,12]]$ code, nearly a factor of two improvement over previous designs.

revised with additional analysis of long range gate fidelity. 5 figures

References in corpus (30)

• Surface codes: Towards practical large-scale quantum computation
• Quantum information with Rydberg atoms
• Logical quantum processor based on reconfigurable atom arrays
• 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
• High-fidelity parallel entangling gates on a neutral atom quantum computer
• High-threshold and low-overhead fault-tolerant quantum memory
• Fidelity of quantum operations
• Consequences of Zeeman Degeneracy for van der Waals Blockade between Rydberg Atoms
• Tradeoffs for reliable quantum information storage in 2D systems
• Mid-circuit correction of correlated phase errors using an array of spectator qubits
• High-fidelity Rydberg quantum gate via a two-atom dark state
• Scalable designs for quantum computing with rare-earth-ion-doped crystals
• Symmetric Rydberg controlled-Z gates with adiabatic pulses
• Fidelity of a Rydberg blockade quantum gate from simulated quantum process tomography
• Rydberg blockade, Förster resonances, and quantum state measurements with different atomic species
• Mid-circuit measurements on a single species neutral alkali atom quantum processor
• Universal quantum operations and ancilla-based readout for tweezer clocks
• Demonstration of quantum brachistochrones between distant states of an atom
• Optimizing Rydberg Gates for Logical Qubit Performance
• Photon recoil and laser focusing limits to Rydberg gate fidelity
• Robust control and optimal Rydberg states for neutral atom two-qubit gates
• Protocols for Rydberg entangling gates featuring robustness against quasi-static errors
• Fast single atom imaging for optical lattice arrays
• A scaled local gate controller for optically addressed qubits
• High-rate quantum LDPC codes for long-range-connected neutral atom registers
• High-Fidelity, Low-Loss State Detection of Alkali-Metal Atoms in Optical Tweezer Traps
• Fast measurements and multiqubit gates in dual species atomic arrays
• Multi-scale architecture for fast optical addressing and control of large scale qubit arrays
• Enhanced Measurement of Neutral Atom Qubits with Machine Learning

Cited by in corpus (12)

• Constant-Overhead Fault-Tolerant Bell-Pair Distillation using High-Rate Codes
• Error correction of transversal CNOT gates for scalable surface code computation
• A fiber array architecture for atom quantum computing
• Coprime Bivariate Bicycle Codes and Their Layouts on Cold Atoms
• Quantum low-density parity-check codes for erasure-biased atomic quantum processors
• Multi-Qubit Parity Gates for Rydberg Atoms in Various Configurations
• Low-depth quantum error correction via three-qubit gates in Rydberg atom arrays
• Non-local resources for error correction in quantum LDPC codes
• Feasibility of Logical Bell State Generation in Memory Assisted Quantum Networks
• Symmetry-enriched topological order and quasifractonic behavior in ${\mathbb{Z}}_N$ stabilizer codes
• Symmetric $C_Z$ gate for ultracold neutral atoms based on counterdiabatic driving at Rydberg excitation
• Spin vs. position conjugation in quantum simulations with atoms: application to quantum chemistry