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