A presentation of the quantum Fourier transform from a recursive viewpoint

Affine and convex spaces: blending the analytic and geometric viewpoints

This is a short introduction to affine and convex spaces, written especially for physics students. It summarizes different elementary presentations available in the mathematical literature, and blends analytic- and geometric-flavoured presentations. References are also provided, as well as a brief discussion of Grassmann spaces and an example showing the relevance and usefulness of affine spaces in Newtonian physics.

量子管弦乐队：递归混合程序的具体语义

Quantum Orchestras: a Concrete Semantics for Recursive Hybrid Programs

研究为扩展经典基础语言的量子编程语言构建指称语义的方法，通过定义基于量子仪器形式主义的量子管弦乐队单子，它是经典状态单子和概率幂域单子的自然扩展，可解释发散混合程序并研究扩展到量子非交换情况的微妙之处。