Optimizing the convergence rate of the quantum consensus: A discrete-time model

S Jafarizadeh - Automatica, 2016 - Elsevier
Motivated by the recent advances in the field of quantum computing, quantum systems are
modeled and analyzed as networks of decentralized quantum nodes which employ …

Resistance distances in composite graphs

Y Yang, DJ Klein - Journal of Physics A: Mathematical and …, 2014 - iopscience.iop.org
The resistance distance between any two vertices of a connected graph is defined as the
effective resistance between them in the electrical network constructed from the graph by …

Structural stability of electrical current in graphene-hexagonal boron nitride heterostructures: a quantum chaos approach

S Behnia, F Nemati, M Yagoubi-Notash - The European Physical Journal …, 2022 - Springer
The graphene-hexagonal boron nitride (G-hBN) plays a role of quantum dynamical systems
under the influence of external fields. Quantum chaos theory concerning level repulsion can …

Quantum stabilizer codes from Abelian and non-Abelian groups association schemes

A Naghipour, MA Jafarizadeh… - International Journal of …, 2015 - World Scientific
A new method for the construction of the binary quantum stabilizer codes is provided, where
the construction is based on Abelian and non-Abelian groups association schemes. The …

Relations between resistance distances of a graph and its complement or its contraction

Y Yang - Croatica Chemica Acta, 2014 - hrcak.srce.hr
Sažetak The resistance distance between two vertices of a connected graph is defined as
the net effective resistance between them when each edge of the graph is replaced by a …

Generalized Foster's identities

Z Cinkir - International Journal of Quantum Chemistry, 2011 - Wiley Online Library
Foster's network theorems and their extensions to higher orders involve resistance values
and conductances. We establish identities concerning voltage values and conductances …

Entanglement entropy in the spinless free fermion model and its application to the graph isomorphism problem

MA Jafarizadeh, F Eghbalifam… - Journal of Physics A …, 2018 - iopscience.iop.org
In this paper, the entanglement entropy is investigated in the ground state of a spinless free
fermion Hamiltonian where its hopping matrix is given by the adjacency matrix of the graph …

Entanglement entropy of free fermions on directed graphs

MA Jafarizadeh, F Eghbalifam, S Nami - The European Physical Journal …, 2017 - Springer
In this paper, we study the general spinless quadratic fermion Hamiltonian with interaction
matrices given by the symmetric and antisymmetric parts of the adjacency matrix of a …

Randomized gossiping with effective resistance weights: Performance guarantees and applications

B Can, S Soori, NS Aybat, MM Dehnavi… - … on Control of …, 2022 - ieeexplore.ieee.org
The effective resistance (ER) between a pair of nodes in a weighted undirected graph is
defined as the potential difference induced when a unit current is injected at one node and …

Generating a GHZ state in 2m-qubit spin network

MA Jafarizadeh, R Sufiani, SF Taghavi… - Journal of Statistical …, 2011 - iopscience.iop.org
We consider a pure 2m-qubit initial state to evolve under a particular quantum mechanical
spin Hamiltonian, which can be written in terms of the adjacency matrix of the Johnson …