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NLTS Hamiltonians from good quantum codes

Thursday September 1, 2022
3:30 pm

 Presenter:  Anurag Anshu (Harvard)
 Series:  CQuIC Seminars
 Abstract:  The NLTS (No Low-Energy Trivial State) conjecture of Freedman and Hastings [2014] posits that there exist families of Hamiltonians with all low energy states of non-trivial complexity (with complexity measured by the quantum circuit depth preparing the state). Our recent work https://arxiv.org/abs/2206.13228 (with Nikolas Breuckmann and Chinmay Nirkhe) proves this conjecture by showing that the recently discovered families of constant-rate and linear-distance QLDPC codes correspond to NLTS local Hamiltonians. This talk will provide background on the conjecture, its relevance to quantum many-body physics and quantum complexity theory, and touch upon the proof techniques.
 Host:  Milad Marvian
 Location:  Zoom

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