Critical path generation (CPG) plays a key role in many circuit timing analysis (CTA) applications. As the design complexity continues to increase, CPG runtime has become a major bottleneck in many timing-driven applications. To mitigate this runtime challenge, several CPU-based algorithms have been introduced by both the CTA and parallel computing communities, but they remain slow for large CPG problems. While GPU-accelerated solutions exist, they are often inexact and incur significant overhead from iterative CPU–GPU data transfers, limiting their practical use in CTA applications. To overcome this challenge, we propose G-PathGen, an exact GPU-parallel CPG algorithm targeting CTA applications. G-PathGen introduces efficient kernel algorithms for generating critical paths in parallel and dynamically adjusts the generated path count to maximize GPU utilization while minimizing redundant work. Compared to a state-of-the-art GPU solution, G-PathGen is 1.6 × –243.8 × faster when generating one million critical paths on industrial circuit graphs.

Critical Path Generation (CPG) is fundamental for many static timing analysis (STA) applications. As the circuit complexity continues to increase, CPG runtime has quickly become the bottleneck due to its time-consuming and iterative nature. Despite many CPG algorithms introduced by existing timers, nearly all of them are limited to a single CPU thread, leading to long runtime for large CPG queries. To mitigate this runtime challenge, we need a parallel CPG algorithm. However, designing a parallel CPG algorithm is very challenging because we need to strategically partition the path search space into multiple groups that can run in parallel while accommodating different slack priorities. To overcome this challenge, we propose PathGen, an efficient CPU-parallel CPG algorithm. Path-Gen introduces a multi-level queue scheduling framework that can efficiently parallelize the search process of critical paths. Compared to a state-of-the-art single-threaded timer, PathGen is up to 7.4× faster with 16 threads and achieves nearly 100% accuracy when generating one million critical paths on large designs.

Recent static timing analysis (STA) tools have utilized task dependency graph (TDG) parallelism to enhance the STA runtime performance. Although TDG parallelism shows promising speedup, the overhead of scheduling a TDG can become dominant as the TDG becomes larger. To minimize the scheduling overhead, several TDG partitioning algorithms have been proposed to reduce the TDG size without affecting its task parallelism. Despite improved performance, existing TDG partitioners all fall short of incremental partitioning, limiting their practical use in STA tools that support timing-driven operations. To overcome this limitation, we propose iTAP, an incremental TDG partitioner to fully leverage the power of TDG partitioning in task-parallel STA applications. Compared to a state-of-the-art full TDG partitioner, iTAP enhances the overall STA performance by up to 2.97×.

Quantum circuit simulation (QCS) plays an important role in the designs and analysis of a quantum algorithm, as it assists researchers in understanding how quantum operations work without accessing expensive quantum computers. Despite many QCS methods, they are largely limited to simulating one input at a time. However, many simulation-driven quantum computing applications, such as testing and verification, require simulating multiple inputs to reason a quantum algorithm under different scenarios. We refer to this type of QCS as batch quantum circuit simulation (BQCS). In this paper, we present BQSim, a GPU-accelerated batch quantum circuit simulator. BQSim is inspired by the state-of-the-art decision diagram (DD) that can compactly represent quantum gate matrices, but overcomes its limitation of CPU-centric simulation. Specifically, BQSim uses DD to optimize a quantum circuit for reduced BQCS computation and converts DD to a GPU-efficient data structure. Additionally, BQSim employs a task graph-based execution strategy to minimize repetitive kernel call overhead and efficiently overlap kernel execution with data movement. Compared with three state-of-the-art quantum circuit simulators, cuQuantum, Qiskit Aer, and FlatDD, BQSim is 3.25×, 159.06×, and 311.42× faster on average.

Recent advances in GPU-accelerated graph partitioning have achieved significant performance gains but remain limited to full graph partitioning, lacking support for incremental updates. This limitation is critical in CAD applications, where circuit graphs undergo iterative, incremental modifications during optimization. We present iG-kway, the first GPU-based incremental k-way graph partitioner. iG-kway features an incrementality-aware data structure and a refinement kernel that efficiently updates only affected vertices with minimal quality loss. Experiments show that iG-kway delivers up to $84 \times$ speedup over the state-of-the-art G-kway with comparable partitioning quality.