843 citations · 5.1k across the 104 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 formation of H_2 and HD with the master equation approach
Ofer Biham, Azi Lipshtat, Hagai B. Perets
The formation of H2 and HD molecules on interstellar dust grains is studied using rate equation and master equation models. Rate equations are used in the analysis of laboratory ex…
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…
The effect of grain size distribution on H formation rate in the interstellar medium
Azi Lipshtat, Ofer Biham
The formation of molecular hydrogen in the interstellar medium takes place on the surfaces of dust grains. Hydrogen molecules play a role in gas-phase reactions that produce other…
Molecular Hydrogen Formation on Porous Dust Grains
Hagai B. Perets, Ofer Biham
Recent laboratory experiments on interstellar dust analogues have shown that H_2 formation on dust grain surfaces is efficient in a range of grain temperatures below 20 K. These re…
Reaction Kinetics in a Tight Spot
Ofer Biham, Joachim Krug, Azi Lipshtat +1
The standard analysis of reaction networks based on deterministic rate equations fails in confined geometries, commonly encountered in fields such as astrochemistry, thin film grow…
Modeling of negative autoregulated genetic networks in single cells
Azi Lipshtat, Hagai B. Perets, Nathalie Q. Balaban +1
We discuss recent developments in the modeling of negative autoregulated genetic networks. In particular, we consider the temporal evolution of the population of mRNA and proteins…
Formation of molecular hydrogen on analogues of interstellar dust grains: experiments and modelling
Gianfranco Vidali, Joe Roser, Giulio Manico +3
Molecular hydrogen has an important role in the early stages of star formation as well as in the production of many other molecules that have been detected in the interstellar medi…
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…