@article{0e5897b422d047d1a7db4dd054ea1040,
title = "Improved gap estimates for simulating Quantum circuits by adiabatic evolution",
abstract = "We use elementary variational arguments to prove, and improve on, gap estimates which arise in simulating quantum circuits by adiabatic evolution.",
keywords = "Adiabatic quantum computation, Gap estimates, Quantum circuit simulation",
author = "Percy Deift and Ruskai, {Mary Beth} and Wolfgang Spitzer",
note = "Funding Information: ∗{\textcopyright}c by authors. Reproduction permitted for non-commercial purposes. †Partially supported by the National Science Foundation under Grants DMS-0296084 and DMS-0500923. ‡Partially supported by the National Science Foundation under Grant DMS-0314228 and by the National Security Agency and Advanced Research and Development Activity under Army Research Office contract number DAAD19-02-1-0065. 1Courant Institute of Mathematical Sciences, 251 Mercer St., New York, NY 10012 USA. E-mail: deift@courant.nyu.edu 2Department of Mathematics, Tufts University, Medford, MA 02155 USA. 3Department of Physics, International University of Bremen Campus Ring 8, 28759 Bremen, Germany. E-mail: w.spitzer@iu-bremen.de 4To whom correspondence should be addressed. E-mail: marybeth.ruskai@tufts.edu",
year = "2007",
month = apr,
doi = "10.1007/s11128-006-0045-y",
language = "English (US)",
volume = "6",
pages = "121--125",
journal = "Quantum Information Processing",
issn = "1570-0755",
publisher = "Springer New York",
number = "2",
}