Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Determining constants in Shor`s discrete log algorithm over Zp

Conference ·
OSTI ID:464483

We compute the number of gates and laser pulses required in Shor`s algorithm for finding {ital r} in the equation {ital g{sup r} = x(mod p)} where {ital p} is a prime, and {ital g} and {ital x} are given elements of the multiplicative group {ital Z{sup *}{sub p}}. Because the discrete logarithm algorithm is similar to the factoring algorithm we may utilize gates designed for use in factoring.

Research Organization:
Los Alamos National Lab., NM (United States)
Sponsoring Organization:
USDOE, Washington, DC (United States)
DOE Contract Number:
W-7405-ENG-36
OSTI ID:
464483
Report Number(s):
LA-UR--96-3793; CONF-9611146--1; ON: DE97002350
Country of Publication:
United States
Language:
English

Similar Records

Scalability of Shor's algorithm with a limited set of rotation gates
Journal Article · Wed Sep 01 00:00:00 EDT 2004 · Physical Review. A · OSTI ID:20646034

Implementing Shor's algorithm on Josephson charge qubits
Journal Article · Thu Jul 01 00:00:00 EDT 2004 · Physical Review. A · OSTI ID:20643891

Quantum computation and Shor{close_quote}s factoring algorithm
Journal Article · Mon Jul 01 00:00:00 EDT 1996 · Reviews of Modern Physics · OSTI ID:287011