Entangled quantum states generated by Shor's factoring algorithm

Yishai Shimoni*, Daniel Shapira, Ofer Biham

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

26 Scopus citations


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.

Original languageAmerican English
Article number062308
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Issue number6
StatePublished - Dec 2005


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