73 citations · 309 across the 10 of their papers we have counts for
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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…
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…
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…
One dimensional quantum walk with unitary noise
Daniel Shapira, Ofer Biham, A. J. Bracken +1
The effect of unitary noise on the discrete one-dimensional quantum walk is studied using computer simulations. For the noiseless quantum walk, starting at the origin (n=0) at time…
Characterization of pure quantum states of multiple qubits using the Groverian entanglement measure
Yishai Shimoni, Daniel Shapira, Ofer Biham
The Groverian entanglement measure, G(psi), is applied to characterize a variety of pure quantum states |psi> of multiple qubits. The Groverian measure is calculated analytically f…
The effect of unitary noise on Grover's quantum search algorithm
D. Shapira, S. Mozes, O. Biham
The effect of unitary noise on the performance of Grover's quantum search algorithm is studied. This type of noise may result from tiny fluctuations and drift in the parameters of…