有限一维系统中基于测量的量子计算：弦序蕴含计算能力
Measurement-based quantum computation in finite one-dimensional systems: string order implies computational power
AI总结：
提出一个新框架评估一维短程纠缠对称资源态上MBQC的计算能力，放宽了系统有限扩展和平移不变性等假设，并证明非零弦序参数可保证以任意接近1的保真度实现对应的酉门。
摘要：
我们提出一个新框架，用于评估空间一维中短程纠缠对称资源态上基于测量的量子计算（MBQC）的能力。它比已知方法所需假设更少。该形式体系能处理有限扩展系统（而非热力学极限），且不要求平移不变性。此外，我们加强了MBQC计算能力与弦序之间的联系。即，只要一组合适的弦序参数非零，就能以任意接近1的保真度实现相应的一组酉门。
英文摘要：
We present a new framework for assessing the power of measurement-based quantum computation (MBQC) on short-range entangled symmetric resource states, in spatial dimension one. It requires fewer assumptions than previously known. The formalism can handle finitely extended systems (as opposed to the thermodynamic limit), and does not require translation-invariance. Further, we strengthen the connection between MBQC computational power and string order. Namely, we establish that whenever a suitable set of string order parameters is non-zero, a corresponding set of unitary gates can be realized with fidelity arbitrarily close to unity.
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