Scott Jones

WISER: Systematic Design-Space Exploration of Fault-Tolerant Global Control Trapped-Ions

Scott Jones, Song-qing-hao Yang, Prakash Murali

Abstract

Trapped-ion quantum computers are a leading candidate for scalable fault-tolerant quantum computing, but conventional Quantum Charge-Coupled Device (QCCD) architectures face severe wiring and power constraints as systems scale. The recently proposed WISE promise orders-of-magnitude reductions in wiring complexity but fundamentally alter the hardware--software interface, making it unclear whether such restrictive architectures can feasibly execute quantum error correction (QEC) and eventually support fault-tolerant workloads. We present WISER, a cross-layer architectural design-space exploration framework for globally controlled trapped-ion systems, to determine whether WISE can support early FTQC, and what hardware/compiler/QEC choices are needed. WISER combines novel WISE-specific compilation, noise modelling, and simulation and integrated them into a unified framework. WISER provides comparative lower-bound estimates of logical clock speed and logical error rate, rather than absolute hardware prediction, enabling us to identify viable operating regions while ruling out infeasible ones. To our knowledge, it is the first systematic design space exploration study targeted at WISE and scalable architectures beyond QCCD. Using WISER, we identify a narrow feasible design space requiring two-ion traps, moderate control multiplexing, aggressive recooling, and high-rate bivariate-bicycle codes. Even under $\sim 10\times$ improvements in physical errors, the lower-bound cycle time to achieve $< 10^{-8}$ logical error is $\approx 100\,ms$, which is $3\times$ slower than local control. These results expose a fundamental trade-off between wiring scalability and logical throughput, suggesting that practical early fault-tolerant operation requires complementary $> 10\times$ physical error rate reductions along with substantial $> 100\times$ reduction in fault-tolerant circuit-depth.

Architecting Scalable Trapped Ion Quantum Computers using Surface Codes

Scott Jones [1], Prakash Murali [1]

Abstract

Trapped ion (TI) qubits are a leading quantum computing platform. Current TI systems have less than 60 qubits, but a modular architecture known as the Quantum Charge-Coupled Device (QCCD) is a promising path to scale up devices. There is a large gap between the error rates of near-term systems ($10^{-3}$ to $10^{-4}$) and the requirements of practical applications (below $10^{-9}$). To bridge this gap, we require Quantum Error Correction (QEC) to build logical qubits that are composed of multiple physical qubits. While logical qubits have been demonstrated on TI qubits, these demonstrations are restricted to small codes and systems. There is no clarity on how QCCD systems should be designed to implement practical-scale QEC. This paper studies how surface codes, a standard QEC scheme, can be implemented efficiently on QCCD-based systems. To examine how architectural parameters of a QCCD system can be tuned for surface codes, we develop a near-optimal topology-aware compilation method that outperforms existing QCCD compilers by an average of 3.8X in terms of logical clock speed. We use this compiler to examine how hardware trap capacity, connectivity and electrode wiring choices can be optimised for surface code implementation. In particular, we demonstrate that small traps of two ions are surprisingly ideal from both a performance-optimal and hardware-efficiency standpoint. This result runs counter to prior intuition that larger traps (20-30 ions) would be preferable, and has the potential to inform design choices for upcoming systems.