Sunday, December 24, 2017

quantum information - Can 2D graph state be represented by branching MERA?



A 2D graph state is a highly entangled state to support general measurement based quantum computation. But its state complexity is relative low. Branching MERA represents also a set of low complexity but high entanglement states.


Question: Can 2D graph state (for example on a regular 2D lattice) be represented by branching MERA? Why or why not?


A little bit confused about this problem. I guess the answer is no, otherwise 2D graph state can be classically approximated. But is there a conclusion somewhere?




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