酉的二次型展开
Quadratic Form Expansions for Unitaries
摘要：
我们介绍的技术来分析酉操作的二次形式的扩展，一种形式类似的总和路径的计算基础时，由每个路径贡献的相位描述的二次形式超过$\mathbb R$。我们展示了如何将这种形式与类似于量子计算的单向测量模型的纠缠资源相关联。使用这个，我们描述了各种条件下，它是可能的，有效地实现一个单一的操作U，无论是当提供一个二次形式的扩展U作为输入，或通过找到一个二次形式的扩展U从其他输入数据。
英文摘要：
We introduce techniques to analyze unitary operations in terms of quadratic form expansions, a form similar to a sum over paths in the computational basis when the phase contributed by each path is described by a quadratic form over $\mathbb R$. We show how to relate such a form to an entangled resource akin to that of the one-way measurement model of quantum computing. Using this, we describe various conditions under which it is possible to efficiently implement a unitary operation U, either when provided a quadratic form expansion for U as input, or by finding a quadratic form expansion for U from other input data.
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