Connectivity-aware Synthesis of Quantum Algorithms

• URL: http://arxiv.org/abs/2501.14020v2
• Date: Thu, 30 Jan 2025 08:25:40 GMT
• Title: Connectivity-aware Synthesis of Quantum Algorithms
• Authors: Florian Dreier, Christoph Fleckenstein, Gregor Aigner, Michael Fellner, Reinhard Stahn, Martin Lanthaler, Wolfgang Lechner,
• Abstract summary: We present a general method for the implementation of quantum algorithms that optimize both gate count and circuit depth. Our approach introduces connectivity-adapted CNOT-based building blocks called Parity Twine chains.
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• Abstract: We present a general method for the implementation of quantum algorithms that optimizes both gate count and circuit depth. Our approach introduces connectivity-adapted CNOT-based building blocks called Parity Twine chains. It outperforms all known state-of-the art methods for implementing prominent quantum algorithms such as the quantum Fourier transform or the Quantum Approximate Optimization Algorithm across a wide range of quantum hardware, including linear, square-grid, hexagonal, ladder and all-to-all connected devices. For specific cases, we rigorously prove the optimality of our approach.

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