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Title: Mapping Molecular Hamiltonians into Hamiltonians of Modular cQED Processors
Award ID(s):
2124511
PAR ID:
10544879
Author(s) / Creator(s):
; ; ; ; ; ; ; ; ;
Publisher / Repository:
ACS Publishing
Date Published:
Journal Name:
Journal of Chemical Theory and Computation
Volume:
19
Issue:
19
ISSN:
1549-9618
Page Range / eLocation ID:
6564 to 6576
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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    The NLTS (No Low-Energy Trivial State) conjecture of Freedman and Hastings 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). We prove this conjecture by showing that a particular family of constant-rate and linear-distance qLDPC codes correspond to NLTS local Hamiltonians, although we believe this to be true for all current constructions of good qLDPC codes. 
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