The modern conception of phases of matter has undergone tremendous developments since the first observation of topologically ordered states in fractional quantum Hall systems in the 1980s. In this paper, we explore the question: In principle, how much detail of the physics of topological orders can be observed using state of the art technologies? We find that using surprisingly little data, namely the toric code Hamiltonian in the presence of generic disorders and detuning from its exactly solvable point, the modular matrices -- characterizing anyonic statistics that are some of the most fundamental fingerprints of topological orders -- can be reconstructed with very good accuracy solely by experimental means. This is a first experimental realization of these fundamental signatures of a topological order, a test of their robustness against perturbations, and a proof of principle -- that current technologies have attained the precision to identify phases of matter and, as such, probe an extended region of phase space around the soluble point before its breakdown. Given the special role of anyonic statistics in quantum computation, our work promises myriad applications in both probing and realistically harnessing these exotic phases of matter

万义顿主要经历:(Experiences)

1998华南理工大学计算机暨经济学双学士

1998-2000 从事非研究性工作

2002美国宾夕法尼亚大学（UPenn）计算机硕士

2004加拿大渥太华大学（UOttawa）物理（光纤光学）硕士

2009加拿大滑铁卢大学（UWaterloo）理论物理博士（师从Lee Smolin于Perimeter Institute for Theoretical Physics）并获滑铁卢大学W. B. Pearson 奖章和Perimeter Institute John Brodie纪念奖

2009-2013日本近畿大学、东京大学博士后

2013-2016加拿大Perimeter Institute for Theoretical Physics博士后

研究领域：理论方面致力于以下领域的交叉研究：演生时空（量子引力）和物质、拓扑物态、量子计算与量子信息（全息原理、纠缠熵）、粒子物理。实验方面致力于用量子计算机模拟和实现拓扑物态及演生时空