Unstructured randomness, small gaps and localization
نویسندگان
چکیده
منابع مشابه
Unstructured randomness, small gaps and localization
We study the Hamiltonian associated with the quantum adiabatic algorithm with a random cost function. Because the cost function lacks structure we can prove results about the ground state. We find the ground state energy as the number of bits goes to infinity, show that the minimum gap goes to zero exponentially quickly, and we see a localization transition. We prove that there are no levels ap...
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ژورنال
عنوان ژورنال: Quantum Information and Computation
سال: 2011
ISSN: 1533-7146,1533-7146
DOI: 10.26421/qic11.9-10-8