Fine-grained Timing Analysis of Digital Integrated Circuits in Answer Set Programming

• URL: http://arxiv.org/abs/2507.11150v1
• Date: Tue, 15 Jul 2025 09:57:45 GMT
• Title: Fine-grained Timing Analysis of Digital Integrated Circuits in Answer Set Programming
• Abstract summary: The maximum delay introduced by combinational modules within a circuit represents the time required to perform a computation.<n>In this work, we tackle the challenging task of computing the actual maximum delay, rather than an approximate value.<n>Since the problem is computationally hard, we model it in Answer Set Programming (ASP), a logic language featuring extremely efficient solvers.
• Score: 43.341057405337295
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In the design of integrated circuits, one critical metric is the maximum delay introduced by combinational modules within the circuit. This delay is crucial because it represents the time required to perform a computation: in an Arithmetic-Logic Unit it represents the maximum time taken by the circuit to perform an arithmetic operation. When such a circuit is part of a larger, synchronous system, like a CPU, the maximum delay directly impacts the maximum clock frequency of the entire system. Typically, hardware designers use Static Timing Analysis to compute an upper bound of the maximum delay because it can be determined in polynomial time. However, relying on this upper bound can lead to suboptimal processor speeds, thereby missing performance opportunities. In this work, we tackle the challenging task of computing the actual maximum delay, rather than an approximate value. Since the problem is computationally hard, we model it in Answer Set Programming (ASP), a logic language featuring extremely efficient solvers. We propose non-trivial encodings of the problem into ASP. Experimental results show that ASP is a viable solution to address complex problems in hardware design.

Related papers

• The Fast for the Curious: How to accelerate fault-tolerant quantum applications [101.46859364118622]
  We evaluate strategies for reducing the run time of fault-tolerant quantum computations.<n>We discuss how the co-design of hardware, fault tolerance, and algorithmic subroutines can reduce run times.
  arXiv  Detail & Related papers  (2025-10-30T02:27:55Z)
• Fast correlated decoding of transversal logical algorithms [67.01652927671279]
  Quantum error correction (QEC) is required for large-scale computation, but incurs a significant resource overhead.<n>Recent advances have shown that by jointly decoding logical qubits in algorithms composed of logical gates, the number of syndrome extraction rounds can be reduced.<n>Here, we reform the problem of decoding circuits by directly decoding relevant logical operator products as they propagate through the circuit.
  arXiv  Detail & Related papers  (2025-05-19T18:00:00Z)
• Exploration of Design Alternatives for Reducing Idle Time in Shor's Algorithm: A Study on Monolithic and Distributed Quantum Systems [4.430488261124667]
  We introduce an alternating design approach to minimize idle time while preserving qubit efficiency in Shor's algorithm.<n>We also demonstrate how task rearrangement enhances execution efficiency in the presence of multiple distribution channels.<n>Our findings provide a structured framework for optimizing compiled quantum circuits for Shor's algorithm.
  arXiv  Detail & Related papers  (2025-03-28T16:07:52Z)
• The T-Complexity Costs of Error Correction for Control Flow in Quantum Computation [10.655710695515044]
  Numerous quantum algorithms require the use of quantum error correction to overcome the unreliability of physical qubits. error correction imposes a performance bottleneck, known as T-complexity, that can make implementation of an algorithm run more slowly than on idealized hardware. We present a cost model that a developer can use to analyze the T-complexity of a program and pinpoint the sources of slowdown.
  arXiv  Detail & Related papers  (2023-11-21T18:32:05Z)
• Distributed Scheduling of Quantum Circuits with Noise and Time Optimization [0.6288228673933782]
  We propose an ILP-based scheduler for optimizing subcircuit schedules on available hardware.<n>For 10-qubit circuits, our method achieves an average fidelity improvement of 12.3% and 21% with and without measurement error mitigation.<n>This noise and time-optimized scheduler represents a crucial step towards optimal quantum computing performance, especially with limited hardware access.
  arXiv  Detail & Related papers  (2023-09-12T07:02:21Z)
• Parallel window decoding enables scalable fault tolerant quantum computation [2.624902795082451]
  We present a methodology that parallelizes the decoding problem and achieves almost arbitrary syndrome processing speed. Our parallelization requires some classical feedback decisions to be delayed, leading to a slow-down of the logical clock speed. Using known auto-teleportation gadgets the slow-down can be eliminated altogether in exchange for increased qubit overhead.
  arXiv  Detail & Related papers  (2022-09-18T12:37:57Z)
• Scaling Quantum Approximate Optimization on Near-term Hardware [49.94954584453379]
  We quantify scaling of the expected resource requirements by optimized circuits for hardware architectures with varying levels of connectivity. We show the number of measurements, and hence total time to synthesizing solution, grows exponentially in problem size and problem graph degree. These problems may be alleviated by increasing hardware connectivity or by recently proposed modifications to the QAOA that achieve higher performance with fewer circuit layers.
  arXiv  Detail & Related papers  (2022-01-06T21:02:30Z)
• Distributed stochastic optimization with large delays [59.95552973784946]
  One of the most widely used methods for solving large-scale optimization problems is distributed asynchronous gradient descent (DASGD) We show that DASGD converges to a global optimal implementation model under same delay assumptions.
  arXiv  Detail & Related papers  (2021-07-06T21:59:49Z)
• Optimal qubit assignment and routing via integer programming [0.22940141855172028]
  We consider the problem of mapping a logical quantum circuit onto a given hardware with limited two-qubit connectivity. We model this problem as an integer linear program, using a network flow formulation with binary variables. We consider several cost functions: an approximation of the fidelity of the circuit, its total depth, and a measure of cross-talk.
  arXiv  Detail & Related papers  (2021-06-11T15:02:26Z)
• Straggler-aware Distributed Learning: Communication Computation Latency Trade-off [56.08535873173518]
  Straggling workers can be tolerated by assigning redundant computations and coding across data and computations. In most existing schemes, each non-straggling worker transmits one message per iteration to the parameter server (PS) after completing all its computations. Imposing such a limitation results in two main drawbacks; over-computation due to inaccurate prediction of the straggling behaviour, and under-utilization due to treating workers as straggler/non-straggler.
  arXiv  Detail & Related papers  (2020-04-10T08:39:36Z)
• Parallelising the Queries in Bucket Brigade Quantum RAM [69.43216268165402]
  Quantum algorithms often use quantum RAMs (QRAM) for accessing information stored in a database-like manner. We show a systematic method to significantly reduce the effective query time by using Clifford+T gate parallelism. We conclude that, in theory, fault-tolerant bucket brigade quantum RAM queries can be performed approximately with the speed of classical RAM.
  arXiv  Detail & Related papers  (2020-02-21T14:50:03Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.