Quantum Algorithms:
Simulating Ising spin systems on a quantum computer.
D.A. Lidar and O. Biham,
Phys. Rev. E56, 3661 (1997).
Journal
Archive
Generalized Grover search algorithm for arbitrary
initial amplitude distribution.
D. Biron, O. Biham, E. Biham, M. Grassl and D. Lidar,
Proceedings of the 1st NASA International Conference on
Quantum Computing and Quantum Communications,
Lecture Notes in Computer Science Vol. 1509 (Springer-Verlag, 1998).
Proceedings
Exact solution of Grover's quantum search algorithm
for arbitrary initial amplitude distribution.
E. Biham, O. Biham, D. Biron, M. Grassl and D. Lidar,
Phys. Rev. A60, 2742 (1999).
Journal
Archive
Analysis of generalized Grover's quantum search algorithms using
recursion equations,
E. Biham, O. Biham, D. Biron, M. Grassl, D.A. Lidar and D. Shapira,
Phys. Rev. A63, 012310 (2001).
Journal
Archive
Entanglement monotone derived from Grover's algorithm.
O. Biham, M.A. Nielsen and T.J. Osborne,
Phys. Rev. A65, 062312 (2002).
Journal
Archive
The effect of unitary noise on Grover's quantum search algorithm.
D. Shapira, S. Mozes and O. Biham,
Phys. Rev. A67, 042301 (2003).
Journal
Archive
Analysis of Grover's quantum search algorithm as a dynamical system.
O. Biham, D. Shapira and Y. Shimoni ,
Phys. Rev. A68, 022326 (2003).
Journal Archive
One dimensional quantum walk with unitary noise.
D. Shapira and O. Biham,
Phys. Rev. A68, 062315 (2003).
Journal
Archive
Characterization of pure quantum states of
multiple qubits using the Groverian entanglement measure.
Y. Shimoni,, D. Shapira and O. Biham,
Phys. Rev. A69, 062303 (2004).
Journal
Archive
Algebraic analysis of quantum search with pure and mixed states.
D. Shapira, Y. Shimoni and O. Biham,
Phys. Rev. A71, 042320 (2005).
Journal Archive
The Groverian measure of entanglement for mixed states.
D. Shapira, Y. Shimoni and O. Biham,
submitted for publication (2005).
Archive
Entangled quantum states generated by Shor's factoring algorithm.
Y. Shimoni, D. Shapira and O. Biham,
submitted for publication (2005).
Archive