The patent badge is an abbreviated version of the USPTO patent document. The patent badge does contain a link to the full patent document.
The patent badge is an abbreviated version of the USPTO patent document. The patent badge covers the following: Patent number, Date patent was issued, Date patent was filed, Title of the patent, Applicant, Inventor, Assignee, Attorney firm, Primary examiner, Assistant examiner, CPCs, and Abstract. The patent badge does contain a link to the full patent document (in Adobe Acrobat format, aka pdf). To download or print any patent click here.
Patent No.:
Date of Patent:
Oct. 01, 2019
Filed:
Aug. 05, 2017
Microsoft Technology Licensing, Llc, Redmond, WA (US);
Martin Roetteler, Woodinville, WA (US);
Kristin Lauter, Redmond, WA (US);
Krysta Svore, Seattle, WA (US);
Microsoft Technology Licensing, LLC, Redmond, WA (US);
Abstract
In this application, example methods for performing quantum Montgomery arithmetic are disclosed. Additionally, circuit implementations are disclosed for reversible modular arithmetic, including modular addition, multiplication and inversion, as well as reversible elliptic curve point addition. This application also shows that elliptic curve discrete logarithms on an elliptic curve defined over an n-bit prime field can be computed on a quantum computer with at most 9n+2┌log(n)┐+10 qubits using a quantum circuit of at most 512nlog(n)+3572nToffoli gates.