The search for exotic quantum phases of matter is a central theme in condensed matter physics. The advent of programmable quantum hardware provides an unprecedented access to novel quantum states and represents a new avenue for probing the exotic properties associated with topological order.. In this talk, I will discuss our progress in realization of topologically ordered ground states based on exact efficient quantum circuit representations. I will show that how the realization of novel quantum states could be used as a resource to discover invariants that recognize distinct known quantum phases via quantum machine learning. At the end, I will discuss our recent progress on the possibility of realizing ground states across a 2D topological quantum phase transition by constructing analytical isometric tensor networks.
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