Error bounds for constrained dynamics in gapped quantum systems: Rigorous results and generalizations

Universal Error Bound for Constrained Quantum Dynamics

It is well known in quantum mechanics that a large energy gap between a Hilbert subspace of specific interest and the remainder of the spectrum can suppress transitions from the quantum states inside the subspace to those outside due to additional couplings that mix these states, and thus approximately lead to a constrained dynamics within the subspace. While this statement has widely been used to approximate quantum dynamics in various contexts, a general and quantitative justification stays lacking. Here we establish an observable-based error bound for such a constrained-dynamics approximati…

可扩展的重传架构用于有隙系统中的远距离量子能量传送

Scalable Repeater Architecture for Long-Range Quantum Energy Teleportation in Gapped Systems

本文提出了一种可扩展的量子重传架构，用于在有隙系统中实现远距离量子能量传送，解决了传统方法的可扩展性问题。

不等式约束与多目标二元优化的严格量子框架：二次代价函数与实证评估

A Rigorous Quantum Framework for Inequality-Constrained and Multi-Objective Binary Optimization: Quadratic Cost Functions and Empirical Evaluations

本文提出多目标量子近似（MOQA）框架，将多QUBO及不等式约束二元优化映射为伊辛哈密顿量基态问题，支持路由、划分等实际应用。

信念传播与张量网络扩展在多体量子系统中的应用：严格结果与基本限制

Belief Propagation and Tensor Network Expansions for Many-Body Quantum Systems: Rigorous Results and Fundamental Limits

本文研究信念传播在多体量子系统中的应用，证明在满足环衰减条件的PEPS状态中，结合簇修正可使局部算符的相对误差指数级减小，并揭示簇修正与物理关联函数的直接联系，从而严格界定信念传播在不同相变点的成功条件。

Necessary Condition for the Quantum Adiabatic Approximation

A gapped quantum system that is adiabatically perturbed remains approximately in its eigenstate after the evolution. We prove that, for constant gap, general quantum processes that approximately prepare the final eigenstate require a minimum time proportional to the ratio of the length of the eigenstate path to the gap. Thus, no rigorous adiabatic condition can yield a smaller cost. We also give a necessary condition for the adiabatic approximation that depends on local properties of the path, which is appropriate when the gap varies.

因果约束下的非遍历量子算子动力学

Causally constrained quantum operator dynamics

通过因果光锥的局部约束导致算子空间代数限制，提出三部分酉门（墙）模型，研究非遍历量子电路动力学及其对多体量子混沌的影响。

量子计算机上具有物理约束的硬件高效拟设：普适、系统可改进且大小一致

Physics-Constrained Hardware-Efficient Ansatz on Quantum Computers that is Universal, Systematically Improvable, and Size-consistent

提出一种物理约束的硬件高效拟设，满足普适、系统可改进和大小一致性，仅需线性连接，数值实验表明其在精度和可扩展性上优于启发式设计，且恢复大小一致性可减少所需层数。

Monte-Carlo sampling of energy-constrained quantum superpositions in high-dimensional Hilbert spaces

Recent studies into the properties of quantum statistical ensembles in high-dimensional Hilbert spaces have encountered difficulties associated with the Monte-Carlo sampling of quantum superpositions constrained by the energy expectation value. A straightforward Monte-Carlo routine would enclose the energy constrained manifold within a larger manifold, which is easy to sample, for example, a hypercube. The efficiency of such a sampling routine decreases exponentially with the increase of the dimension of the Hilbert space, because the volume of the enclosing manifold becomes exponentially larg…

开放系统视角下的信道约束马尔可夫量子扩散模型

Channel-Constrained Markovian Quantum Diffusion Model from Open System Perspective

本文提出信道约束马尔可夫量子扩散模型，基于开放量子系统动力学框架设计，通过Stiefel流形优化保证量子信道物理有效性，在多类量子系统上实现了噪声下保真度超0.998的高保真量子态生成。

受限因子投资组合优化中的光子量子计算与经典求解器对比

Photonic Quantum Computing vs. Classical Solvers in Constrained Factor Portfolio Optimization

该研究对比光子量子计算、Gurobi、SAC三种优化范式在因子投资组合优化中的表现，发现光子硬件在窄范围有优势，经典混合整数规划在严格尾部风险控制场景更优，还揭示了强化学习分配器的失效模式并给出应用指南。