On the continuum limit of Benincasa-Dowker-Glaser causal set action

通过量子计数实现Benincasa-Dowker-Glaser因果集作用量

Benincasa-Dowker-Glaser causal set actions by quantum counting

提出一种渐近最优的量子算法，以$ ilde{O}(n^{2})$运行时间计算任意维度因果集的Benincasa-Dowker-Glaser作用量，相比经典或已知量子算法提供多项式加速。

A Tale of Two Actions: A Variational Principle for Two-Dimensional Causal Sets

In this paper we will explore two different proposals for the action for causal sets: the Benincasa-Dowker action and a modified version of the chain action. We propose a variational principle for two-dimensional causal sets and use it for both actions to determine which causal sets at least on average satisfy a discrete version of the Einstein equation. Specifically, we test this method on causal sets embedded in 2d Minkowski, de Sitter, and anti-de Sitter spacetimes and compare these results to the most prominent nonmanifoldlike causal sets, Kleitman-Rothschild causal sets.

使用量子增强马尔可夫链蒙特卡洛的离散时空动力学

Dynamics of discrete spacetimes with Quantum-enhanced Markov Chain Monte Carlo

本文提出一种量子增强马尔可夫链蒙特卡洛算法，通过在哈密顿量中添加约束项并推导Benincasa-Dowker作用量的量子比特哈密顿量作为问题哈密顿量，对因果集空间进行采样以研究离散时空动力学，实现了超二次的量子标度优势。

Algorithmic Causal Sets and the Wolfram Model

The formal relationship between two differing approaches to the description of spacetime as an intrinsically discrete mathematical structure, namely causal set theory and the Wolfram model, is studied, and it is demonstrated that the hypergraph rewriting approach of the Wolfram model can effectively be interpreted as providing an underlying algorithmic dynamics for causal set evolution. We show how causal invariance of the hypergraph rewriting system can be used to infer conformal invariance of the induced causal partial order, in a manner that is provably compatible with the measure-theoretic…

因果集生成器与作用计算器

Causal Set Generator and Action Computer

本文提出一种高效因果集生成与研究框架，通过优化数据结构和算法，显著提升效率并减少内存占用，支持CUDA、OpenMP等多平台加速。