2025/01/16 by Liu, Fangxuan, Tang, Gaoxiang, Luming Duan +3 · 1 citation
Computer Science · Engineering · Mathematics · #Algorithm #Computer science #Crosstalk #Electronic engineering #Engineering #Error analysis #Error detection and correction #FOS: Physical sciences #Integrated Circuits and Semiconductor Failure Analysis #Ion #Mathematics #Optics #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Physics (quant-ph) #Quantum computer #Quantum mechanics
paper · pdf · doi:10.48550/arxiv.2501.09554
published in arXiv (Cornell University) (Cornell University)
openalex publication_date 2025/01/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The ability to execute a large number of quantum gates in parallel is a fundamental requirement for quantum error correction, allowing an error threshold to exist under the finite coherence time of physical qubits. Recently, two-dimensional ion crystals have been demonstrated as a plausible approach to scale up the qubit number in a trapped ion quantum computer. However, although the long-range Coulomb interaction between the ions enables their strong connectivity, it also complicates the design of parallel gates and leads to intrinsic crosstalk errors. Here we examine the effects of crosstalk errors on a rotated surface code. We show that, instead of the distance-3 code considered in previous works, a distance-5 code is necessary to correct the two-qubit crosstalk error. We numerically calculate the logical error rates and coherence times under various crosstalk errors, gate infidelities and coherence times of the physical qubits, and we optimize the parallelism level according to the competition between different error sources. We show that a break-even point can be reached under realistic parameters. We further analyze the spatial dependence of the crosstalk, and discuss the scaling of the logical error rate versus the code distance for the long-term goal of a logical error rate below 10-10.