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quant-ph2022
Circuit depth versus energy in topologically ordered systems
Arkin Tikku, Isaac H. Kim
We prove a nontrivial circuit-depth lower bound for preparing a low-energy state of a locally interacting quantum many-body system in two dimensions, assuming the circuit is geomet…
quant-ph2018
Variational Quantum State Diagonalization
Ryan LaRose, Arkin Tikku, Étude O'Neel-Judy +2
Variational hybrid quantum-classical algorithms are promising candidates for near-term implementation on quantum computers. In these algorithms, a quantum computer evaluates the co…