Single T gate in a Clifford circuit drives transition to universal entanglement spectrum statistics
Single T gate in a Clifford circuit drives transition to universal entanglement spectrum statistics
复制标题
Clifford 电路中的单个 T 门推动向通用纠缠谱统计的过渡
作者：
Shiyu Zhou;Zhi;A. Hamma;C. Chamon
Clifford 电路不足以进行通用量子计算
或创建 tt 设计
且 t\ge 4t≥4。
虽然纠缠熵并不能说明这种不足，
时间演化随机产物态的纠缠谱为：
对于仅限于的电路，纠缠水平呈泊松分布
Clifford 门设置，而级别遵循 Wigner-Dyson 统计数据
当使用通用门时。在本文中，我们展示了使用有限尺寸
不同级别间距统计量度的标度分析，即
在热力学极限内，插入一个T
(\pi/8)(π/8)
随机克利福德电路中间的门足以改变
从泊松到维格纳-戴森的纠缠谱
分布。
Clifford circuits are insufficient for universal quantum computation
or creating tt-designs
with t\ge 4t≥4.
While the entanglement entropy is not a telltale of this insufficiency,
the entanglement spectrum of a time evolved random product state is: the
entanglement levels are Poisson-distributed for circuits restricted to
the Clifford gate-set, while the levels follow Wigner-Dyson statistics
when universal gates are used. In this paper we show, using finite-size
scaling analysis of different measures of level spacing statistics, that
in the thermodynamic limit, inserting a single T
(\pi/8)(π/8)
gate in the middle of a random Clifford circuit is sufficient to alter
the entanglement spectrum from a Poisson to a Wigner-Dyson
distribution.
影响因子：
3.7
作者：
Rakovszky, T.;Gopalakrishnan, S.;Parameswaran, S. A.;Pollmann, F.
通讯作者：
Pollmann, F.