← 研踪 PaperTrailarXiv:2611.14006 · v1
Normalizing Flows for Classical Simulation of Quantum Circuits in Phase Space
首次提交 2026-11-10 20:45
版本更新 2026-11-10 20:45
雷达观测 2026-11-11 11:04
摘要
We present a novel framework to learn a representation of quantum circuits based on the phase space formulation of many-body systems. Given that $N$-qubit states can be represented as probability distributions on a smooth $2N$-dimensional manifold, we show how unitary gates can be parameterized as normalizing flows between these distributions, opening a new avenue for quantum circuit simulation using generative models. We evaluate our method on three common families of quantum circuits, and show that its accuracy exceeds that of current state-of-the-art neural network methods for large system sizes.
作者备注:9 pages, 3 figures
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v1 · 2026-11-10 20:45 · 最新观测版本
Normalizing Flows for Classical Simulation of Quantum Circuits in Phase Space
We present a novel framework to learn a representation of quantum circuits based on the phase space formulation of many-body systems. Given that $N$-qubit states can be represented as probability distributions on a smooth $2N$-dimensional manifold, we show how unitary gates can be parameterized as normalizing flows between these distributions, opening a new avenue for quantum circuit simulation using generative models. We evaluate our method on three common families of quantum circuits, and show that its accuracy exceeds that of current state-of-the-art neural network methods for large system sizes.
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