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Quantum Circuits: Design and Optimization

George A. Kevrekidis

Published Aug 17, 2018• 0 citations
OpenAlex

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This paper introduces a novel Differentiable Quantum Circuit Design Language (DQCDL), designed to facilitate automated quantum algorithm design through direct optimization within the circuit's parameter space. The core concept revolves around representing quantum circuits as sets of differentiable parameters and constructing a gradient model for these circuits. Utilizing optimization algorithms like gradient descent, the DQCDL enables the iterative adjustment of circuit parameters, leading to the efficient optimization of quantum algorithms. This approach contrasts with traditional manual parameter tuning methods, offering a significantly more streamlined and automated process for quantum circuit design and optimization. The paper details the language's syntax, the methodology for building the gradient model, and outlines the optimization strategies applicable within the DQCDL framework. The primary goal is to provide a framework for exploring the vast design space of quantum circuits, ultimately accelerating the development and deployment of quantum algorithms.
This paper introduces a novel quantum circuit design framework, Topological Space-Adaptive Quantum Circuit Design (TS-QC), that dynamically adjusts quantum circuit parameters based on input data. Traditional quantum circuit design relies heavily on manual parameter tuning, limiting design flexibility and potentially hindering performance optimization. TS-QC leverages the power of topological structures to optimize quantum circuit parameters, resulting in improved circuit performance and reliability. This work presents a practical implementation of TS-QC and demonstrates its efficacy through a series of simulations and analysis. The core mechanism centers on the application of topological optimization techniques to enhance the robustness and efficiency of quantum circuits.
The design of optimal quantum circuits for specific tasks remains a significant challenge due to the exponentially growing complexity of possible circuit architectures. Traditional optimization methods struggle to navigate this vast design space effectively. This work proposes a novel approach leveraging probabilistic programming languages and Bayesian optimization to address this problem. We represent quantum circuits as probabilistic programs and utilize Bayesian optimization to efficiently explore the design space, driven by objective functions that quantify desired circuit properties such as fidelity and gate count. This approach allows for a systematic and data-driven exploration, moving beyond exhaustive search methods. The core contribution lies in the application of probabilistic programming to quantum circuit design, offering a scalable and adaptive framework for discovering high-performance circuits. The methodology presented provides a framework for efficient exploration of quantum circuit design space, which is critical for realizing the potential of quantum computing.