191 citations · 422 across the 15 of their papers we have counts for
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Formation of Multipartite Entanglement Using Random Quantum Gates
Yonatan Most, Yishai Shimoni, Ofer Biham
The formation of multipartite quantum entanglement by repeated operation of one and two qubit gates is examined. The resulting entanglement is evaluated using two measures: the ave…
Groverian Entanglement Measure of Pure Quantum States with Arbitrary Partitions
Yishai Shimoni, Ofer Biham
The Groverian entanglement measure of pure quantum states of qubits is generalized to the case in which the qubits are divided into any parties and the entanglement b…
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…