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Adaptive Quantum Circuit Compilation via Tensor Networks

Jincheng Zhang

Published Sep 5, 2026• 0 citations
Publisher

Abstract

Quantum circuit compilation is a critical step in realizing quantum computation, aiming to translate high-level quantum algorithms into a sequence of gates executable on a specific quantum hardware. However, traditional compilation methods often struggle with the inherent complexities of quantum circuits, including their high dimensionality, susceptibility to noise, and the diverse characteristics of different quantum devices. This work proposes a novel approach to adaptive quantum circuit compilation that leverages the power of tensor networks (TNs) and reinforcement learning (RL). The core idea is to represent quantum circuits as TNs, dynamically adjusting the network's structure to capture the relevant circuit features while minimizing computational overhead and mitigating noise effects. A reinforcement learning agent is trained to iteratively construct and refine these TN representations, guided by feedback signals derived from circuit fidelity metrics and computational cost estimates. This dynamic adaptation allows for a more efficient and robust compilation process, potentially leading to improved performance and reduced error rates in quantum computations. The key contribution lies in the integration of TNs with RL for a self-optimizing compilation pipeline. This approach offers a promising direction for tackling the challenges inherent in quantum hardware limitations and diverse quantum device architectures.

DOI
10.5281/zenodo.22315270

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Quantum circuit compilation is a crucial step in realizing quantum algorithms on near-term quantum hardware. Traditional compilation methods often employ static circuit representations, limiting their ability to adapt to the fluctuating coherence properties and connectivity constraints of actual quantum devices. This research introduces a novel approach utilizing tensor network representations for dynamic quantum circuit compilation. The core idea is to leverage the inherent entanglement and superposition present in quantum systems to create adaptive circuit layouts. Our method employs an iterative tensor network algorithm that continuously refines circuit representations, prioritizing coherence preservation and minimizing gate count, while incorporating real-time qubit state estimations. This dynamic adaptation directly addresses the challenges posed by the limitations of current quantum hardware, offering a pathway to more efficient and robust quantum algorithm execution. The key innovation lies in the application of tensor networks, a powerful mathematical tool, to the optimization problem of quantum circuit compilation.
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Quantum circuit compilation is a fundamental step in quantum computing, translating high-level quantum algorithms into sequences of gates executable on a specific quantum hardware. However, current compilation methods often employ static decompositions, neglecting the inherent noise characteristics of quantum devices, leading to suboptimal circuit designs and reduced fidelity. This work proposes a novel adaptive quantum circuit compilation strategy that dynamically adjusts circuit decompositions in real-time, based on continuous monitoring of hardware noise profiles. The core of this approach lies in integrating quantum error mitigation techniques with a feedback loop that iteratively refines the circuit design to minimize the detrimental effects of noise. We introduce a framework for evaluating the effectiveness of this adaptive compilation process, demonstrating potential improvements in circuit fidelity and execution time. This research directly addresses the critical need for real-time adaptive compilation, a cornerstone for the practical realization of fault-tolerant quantum computing. The presented methodology offers a promising path towards more efficient and robust quantum algorithms, ultimately contributing to the advancement of quantum information processing.
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Quantum circuit compilation is a critical step in realizing quantum algorithms on real quantum hardware. Traditional compilation methods often employ static optimization strategies, neglecting the unique constraints and characteristics of the target quantum device. This paper introduces a novel adaptive quantum circuit compilation framework designed to dynamically adjust circuit designs based on hardware-specific information, aiming to minimize gate count and, consequently, error rates. The core of the framework lies in integrating a hardware simulator directly within the compilation process. This allows the compiler to evaluate the performance of various circuit designs—considering factors like qubit connectivity, gate fidelity, and decoherence models—before committing to a final layout. The proposed approach represents a shift from static to adaptive optimization, providing a more nuanced and effective strategy for translating quantum algorithms into executable code on diverse quantum hardware platforms. This research demonstrates a significant potential improvement in quantum circuit efficiency and fidelity, addressing a key bottleneck in the advancement of quantum computing.