3 papers
math.AC2026
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…
math.CO2026
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…
quant-ph2025
Preparation of Hamming-Weight-Preserving Quantum States with Log-Depth Quantum Circuits
Yu Li, Guojing Tian, Xiaoyu He +1
Quantum state preparation is a critical task in quantum computing, particularly in fields such as quantum machine learning, Hamiltonian simulation, and quantum algorithm design. Th…