Conformal field theories are magical
Conformal field theories are magical
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共形场论很神奇
DOI：
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发表时间：
2020
期刊：
影响因子：
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通讯作者：
Brian Swingle
中科院分区：
文献类型：
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作者：
C. White;ChunJun Cao;Brian Swingle
“魔力”是一个国家不能被克利福德·盖茨近似的程度。我们研究了在${\mathbb{Z}}_{3}$ Potts模型基态下的魔法值，并认为它是多体物理学的一个广泛有用的诊断。特别是，我们发现，$q=3$基态有大的法力在模型的临界点，而这个法力驻留在系统的相关性。我们解释了一个简单的张量计数计算的基础上MERA表示的状态的mana的形式。由于在所有长度尺度上都存在法力，我们得出结论，描述三态波茨模型临界点的共形场论是神奇的。这些结果控制了在纠错量子计算机上制备Potts基态的难度，并约束了AdS-CFT的张量网络模型。
``Magic'' is the degree to which a state cannot be approximated by Clifford gates. We study mana, a measure of magic, in the ground state of the ${\mathbb{Z}}_{3}$ Potts model, and argue that it is a broadly useful diagnostic for many-body physics. In particular we find that the $q=3$ ground state has large mana at the model's critical point, and that this mana resides in the system's correlations. We explain the form of the mana by a simple tensor-counting calculation based on a MERA representation of the state. Because mana is present at all length scales, we conclude that the conformal field theory describing the three-state Potts model critical point is magical. These results control the difficulty of preparing the Potts ground state on an error-corrected quantum computer and constrain tensor network models of AdS-CFT.
影响因子：
3.7
作者：
Torsten Karzig;Y. Oreg;G. Refael;M. Freedman
通讯作者：
Torsten Karzig;Y. Oreg;G. Refael;M. Freedman
影响因子：
6.4
作者：
Bravyi, Sergey;Browne, Dan;Howard, Mark
通讯作者：
Howard, Mark