论文标题
法力和热化：探测近甲级汉密尔顿模拟的可行性
Mana and thermalization: probing the feasibility of near-Clifford Hamiltonian simulation
论文作者
论文摘要
量子流体动力学是一系列的经典动力学，该动力学管理着通用量的量子系统中保守量的运输。最近的矩阵产品运营商方法已经在1+1D可进行的量子水动力学中进行了模拟，但它们并不自然地将其推广到2+1d或更高，并且对于量子计算机的模拟难度，它们提供了有限的指导。近距离模拟算法不限于一个维度，并且未来错误校正的量子计算机可能会被非克利福德操作瓶颈。因此，我们使用非克利福德操作的资源理论``Mana''研究了非克利福德资源的需求，以模拟量子流体动力学。对于无限温度的起始状态，我们发现子系统的法术力很快接近零，而对于以高于某种阈值的能量的开始状态，法力值接近非零值。令人惊讶的是，在每种情况下，有限的时间法力都由子系统熵，而不是热状态法术。我们认为这是因为法力是与规范典型性有限时间偏差的敏感诊断。
Quantum hydrodynamics is the emergent classical dynamics governing transport of conserved quantities in generic strongly-interacting quantum systems. Recent matrix product operator methods have made simulations of quantum hydrodynamics in 1+1d tractable, but they do not naturally generalize to 2+1d or higher, and they offer limited guidance as to the difficulty of simulations on quantum computers. Near-Clifford simulation algorithms are not limited to one dimension, and future error-corrected quantum computers will likely be bottlenecked by non-Clifford operations. We therefore investigate the non-Clifford resource requirements for simulation of quantum hydrodynamics using ``mana'', a resource theory of non-Clifford operations. For infinite-temperature starting states we find that the mana of subsystems quickly approaches zero, while for starting states with energy above some threshold the mana approaches a nonzero value. Surprisingly, in each case the finite-time mana is governed by the subsystem entropy, not the thermal state mana; we argue that this is because mana is a sensitive diagnostic of finite-time deviations from canonical typicality.
