Quantum circuits are synthesized based on a projective gate set derived from a set of single-qubit gates, typically a basis set such as the Clifford+T gates or the V-gates. An initial projective gate set is used to determine at least one characteristic of a quaternion algebra, and the quaternion algebra is used to define a new projective gate set. Exactly synthesizable unitaries are identified, and a circuit approximating a target unitary is defined in the single-qubit gate set by mapping from the new projective gate set.
Multi-Factor Authentication Using Quantum Communication
- Los Alamos NM, US Charles Glen Peterson - Los Alamos NM, US James T. Thrasher - Baltimore MD, US Jane E. Nordholt - Los Alamos NM, US Jon T. Yard - Santa Barbara CA, US Raymond Thorson Newell - Santa Fe NM, US Rolando D. Somma - Santa Fe NM, US
Assignee:
LOS ALAMOS NATIONAL SECURITY, LLC - Los Alamos NM
International Classification:
H04L 29/06 H04L 9/08 H04L 9/32 G06F 21/31
Abstract:
Multi-factor authentication using quantum communication (“QC”) includes stages for enrollment and identification. For example, a user enrolls for multi-factor authentication that uses QC with a trusted authority. The trusted authority transmits device factor information associated with a user device (such as a hash function) and user factor information associated with the user (such as an encrypted version of a user password). The user device receives and stores the device factor information and user factor information. For multi-factor authentication that uses QC, the user device retrieves its stored device factor information and user factor information, then transmits the user factor information to the trusted authority, which also retrieves its stored device factor information. The user device and trusted authority use the device factor information and user factor information (more specifically, information such as a user password that is the basis of the user factor information) in multi-factor authentication that uses QC.
Microsoft Research Station Q - University of Santa Barbara since 2012
Postdoc
Los Alamos National Laboratory Mar 2009 - Jul 2012
R. P. Feynman Postdoctoral Fellow
Los Alamos National Laboratory Aug 2007 - Mar 2009
Postdoctoral Scholar
California Institute of Technology Oct 2005 - Aug 2007
Postdoctoral Scholar in Physics
McGill University Apr 2005 - Sep 2005
Postdoctoral Scholar in Computer Science
Education:
Stanford University 1997 - 2005
Ph.D., M.S., Electrical Engineering
Carnegie Mellon University 1993 - 1997
B.S., Electrical Engineering
Skills:
Quantum Optics Physics Information Theory Mathematical Modeling Mathematica LaTeX Theory Applied Mathematics Algorithms Matlab C++ C Python
Interests:
Quantum mechanics, information theory, physics and mathematics.
Honor & Awards:
Richard P. Feynman Postdoctoral Fellowship (Los Alamos 2009-2012). Pat Goldberg Memorial Best Paper Award (2008).
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