48 citations · 235 across the 17 of their papers we have counts for
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quant-ph2005★ 37 cited
Entangled Quantum States Generated by Shor's Factoring Algorithm
Yishai Shimoni, Daniel Shapira, Ofer Biham
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 m…
quant-ph2005★ 33 cited
The Groverian Measure of Entanglement for Mixed States
Daniel Shapira, Yishai Shimoni, Ofer Biham
The Groverian entanglement measure introduced earlier for pure quantum states [O. Biham, M.A. Nielsen and T. Osborne, Phys. Rev. A 65, 062312 (2002)] is generalized to the case of…
quant-ph2005★ 11 cited
Algebraic analysis of quantum search with pure and mixed states
D. Shapira, Y. Shimoni, O. Biham
An algebraic analysis of Grover's quantum search algorithm is presented for the case in which the initial state is an arbitrary pure quantum state of n qubits. This approach reveal…