3 papers
math.AC2025
The MacaulayPosets package for Macaulay2
Penelope Beall, Nikola Kuzmanovski, Yu Oliver Li +1
We introduce the package MacaulayPosets written for the computational algebra system Macaulay2. This package utilized the poset data type introduced in the Posets package and offer…
quant-ph2025
Preparation of Hamming-Weight-Preserving Quantum States with Log-Depth Quantum Circuits
Yu Li, Guojing Tian, Xiaoyu He +3
Hamming-Weight-Preserving (HWP) states, , represent a fundamental class of quantum states on qubits with fi…
math.CO2025
Constructions of Macaulay Posets and Macaulay Rings
Penelope Beall, Erenay Boyali, Nancy Chen +13
A poset is Macaulay if its partial order and an additional total order interact well. Analogously, a ring is Macaulay if the partial order defined on its monomials by division inte…