TY - JOUR
T1 - Entangled quantum states generated by Shor's factoring algorithm
AU - Shimoni, Yishai
AU - Shapira, Daniel
AU - Biham, Ofer
PY - 2005/12
Y1 - 2005/12
N2 - The intermediate quantum states of multiple qubits, generated during the operation of Shor's factoring algorithm are analyzed. Their entanglement is evaluated using the Groverian measure. It is found that the entanglement is generated during the preprocessing stage of the algorithm and remains nearly constant during the quantum Fourier transform stage. The entanglement is found to be correlated with the speedup achieved by the quantum algorithm compared to classical algorithms.
AB - The intermediate quantum states of multiple qubits, generated during the operation of Shor's factoring algorithm are analyzed. Their entanglement is evaluated using the Groverian measure. It is found that the entanglement is generated during the preprocessing stage of the algorithm and remains nearly constant during the quantum Fourier transform stage. The entanglement is found to be correlated with the speedup achieved by the quantum algorithm compared to classical algorithms.
UR - http://www.scopus.com/inward/record.url?scp=28844480077&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.72.062308
DO - 10.1103/PhysRevA.72.062308
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AN - SCOPUS:28844480077
SN - 1050-2947
VL - 72
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 6
M1 - 062308
ER -