Determining QMC simulability with geometric phases

退相干性不够：迈向更精确的量子蒙特卡洛模拟可行性的诊断

Stoquasticity is not enough: towards a sharper diagnostic for Quantum Monte Carlo simulability

本文提出了一种基于消失几何相的诊断方法，用于更精确地判断量子蒙特卡洛模拟的可行性，相较于退相干性方法，该方法在效率和准确性上更具优势。

Symmetry criteria for quantum simulability of effective interactions

What can one do with a given tunable quantum device? We provide complete symmetry criteria deciding whether some effective target interaction(s) can be simulated by a set of given interactions. Symmetries lead to a better understanding of simulation and permit a reasoning beyond the limitations of the usual explicit Lie closure. Conserved quantities induced by symmetries pave the way to a resource theory for simulability. On a general level, one can now decide equality for any pair of compact Lie algebras just given by their generators without determining the algebras explicitly. Several physi…

非投影测量的稳健认证：理论与实验

Robust certification of non-projective measurements: theory and experiment

研究确定POVM优于投影测量的条件这一难题，核心方法是引入半定规划层次结构认证POVM不可模拟性，贡献在于提供上界、实验认证二维和三维POVM不可模拟性并使其对态制备误差鲁棒，还扩展到有辅助系统的情况。

含Clifford增强矩阵乘积态的Clifford+T电路的经典可模拟性

Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states

本文针对Clifford+T电路的经典模拟问题，开发无优化解纠缠算法，给出高效CAMPS生成的代数判据，扩展可多项式模拟的电路数量，建立理解其经典可模拟性的框架并探索量子纠缠与魔法的相互作用。

Simultaneous Stoquasticity

Stoquastic Hamiltonians play a role in the computational complexity of the local Hamiltonian problem as well as the study of classical simulability. In particular, stoquastic Hamiltonians can be straightforwardly simulated using Monte Carlo techniques. We address the question of whether two or more Hamiltonians may be made simultaneously stoquastic via a unitary transformation. This question has important implications for the complexity of simulating quantum annealing where quantum advantage is related to the stoquasticity of the Hamiltonians involved in the anneal. We find that for almost all…