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19932026
most citedDynamical decoupling and noise spectroscopy with a superconducting flux qubit

880 citations

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27 papers · 1 filter

quant-ph2025

Robust Tripartite Entanglement Generation via Correlated Noise in Spin Qubits

Sander Driessen, Ji Zou, Even Thingstad +2

We investigate the generation of genuine tripartite entanglement in a triangular spin-qubit system due to spatially correlated noise. In particular, we demonstrate how the formatio…

quant-ph2024★ 1 cited

Generating non-Clifford gate operations through exact mapping between Majorana fermions and parafermions

Ali Hamed Safwan, Raditya Weda Bomantara

Majorana fermions and their generalizations to parafermions are considered promising building blocks of fault-tolerant quantum computers for their ability to encode…

quant-ph2023★ 16 cited

Gottesman-Kitaev-Preskill state preparation using periodic driving

Xanda C. Kolesnikow, Raditya Weda Bomantara, Andrew C. Doherty +1

The Gottesman-Kitaev-Preskill (GKP) code may be used to overcome noise in continuous variable quantum systems. However, preparing GKP states remains experimentally challenging. We…

quant-ph2022★ 7 cited

Topological modes and beyond

Weiwei Zhu, Jiangbin Gong, Raditya Weda Bomantara

This short Perspective article presents an overview of the discovery of topological modes as well as their physical significance in quantum computing and the understanding of a…

quant-ph2022

Electrostatic multipole contributions to the binding energy of electrons

A. D. Alhaidari, H. Bahlouli

The interaction of an electron with a local static charge distribution (e.g., an atom or molecule) is dominated at large distances by the radial 1/r Coulomb potential. The second o…

quant-ph2022★ 2 cited

On the Kinetic Energy Density Functional: The Limit of the Density Derivative Order

Abdulaziz H. Al-Aswad, Fahhad H. Alharbi

Within ``orbital-free'' density functional theory, it is essential to develop general kinetic energy density (KED), denoted as . This is usually done by empirical co…

quant-ph2021★ 10 cited

Deformed Morse-like potential

I. A. Assi, A. D. Alhaidari, H. Bahlouli

We introduce an exactly solvable one-dimensional potential that supports both bound and/or resonance states. This potential is a generalization of the well-known 1D Morse potential…

quant-ph2020★ 6 cited

J-matrix method of scattering for inverse-square singular potential with supercritical coupling I. Theory

Abdulaziz D. Alhaidari, Hocine Bahlouli, Carlos P. Aparicio +1

The J-matrix method of scattering was developed to handle regular short-range potentials with applications in atomic, nuclear and molecular physics. Its accuracy, stability, and co…

quant-ph2019★ 26 cited

Tridiagonal Representation Approach in Quantum Mechanics

A. D. Alhaidari, H. Bahlouli

We present an algebraic approach for finding exact solutions of the wave equation. The approach, which is referred to as the Tridiagonal Representation Approach (TRA), is inspired…

quant-ph2018★ 2 cited

Electric dipole and quadrupole contributions to valence electron binding in a charge-screening environment

A. D. Alhaidari, H. Bahlouli

We make a multipole expansion of the atomic/molecular electrostatic charge distribution as seen by the valence electron up to the quadrupole term. The Tridiagonal Representation Ap…

quant-ph2017★ 6 cited

Energy spectrum of a generalized Scarf potential using the Asymptotic Iteration Method and the Tridiagonal Representation Approach

S. A. Al-Buradah, H. Bahlouli, A. D. Alhaidari

The well-known trigonometric Scarf potential is generalized by adding a sinusoidal term and then treated using the Asymptotic Iteration Method (AIM) and the Tridiagonal Representat…

quant-ph2015★ 4 cited

Solution of the Dirac equation in a curved space with static metric

A. D. Alhaidari

Compatibility of symmetric quantization of the Dirac equation in a curved space with general covariance gives a special representation of the spin connections in which their dot pr…

quant-ph2014★ 11 cited

A complete graphical calculus for Spekkens' toy bit theory

Miriam Backens, Ali Nabi Duman

While quantum theory cannot be described by a local hidden variable model, it is nevertheless possible to construct such models that exhibit features commonly associated with quant…

quant-ph2013★ 10 cited

Renormalization of the strongly attractive inverse square potential: Taming the singularity

A. D. Alhaidari

Quantum anomalies in the inverse square potential are well known and widely investigated. Most prominent is the unbounded increase in oscillations of the particle's state as it app…

quant-ph2012★ 3 cited

J-matrix method of scattering for potentials with inverse square singularity: The real representation

A. D. Alhaidari, H. Bahlouli, S. Al-Marzoug +1

The J-matrix method was developed to handle regular short-range scattering potentials. Its accuracy, stability, and convergence properties compare favorably with other successful s…

quant-ph2012

A probabilistic approach to quantum Bayesian games of incomplete information

Azhar Iqbal, James M. Chappell, Qiang Li +2

A Bayesian game is a game of incomplete information in which the rules of the game are not fully known to all players. We consider the Bayesian game of Battle of Sexes that has sev…

quant-ph2012★ 1 cited

Full transmission within a wide energy range and super-criticality in relativistic barrier scattering

A. D. Alhaidari, H. Bahlouli, Y. Benabderahmane +1

For potential barriers with scalar and vector coupling, we show that a Dirac particle could experience nearly full transmission within a wide sub-barrier energy band. Moreover, for…

quant-ph2011

Analytically Solvable 2D Potentials: Bound States

S. M. Al-Marzoug, H. Bahlouli, M. S. Abdelmonem

Using a suitable Laguerre basis set that ensures a tridiagonal matrix representation of the reference Hamiltonian, we were able to evaluate in closed form the matrix representation…

quant-ph2010★ 15 cited

Singular Short Range Potentials in the J-Matrix Approach

M. S. Abdelmonem, I. Nasser, H. Bahlouli +2

We use the tools of the J-matrix method to evaluate the S-matrix and then deduce the bound and resonance states energies for singular screened Coulomb potentials, both analytic and…

quant-ph2010★ 9 cited

Relativistic Coulomb problem for Z larger than 137

A. D. Alhaidari

We propose a relativistic one-parameter Hermitian theory for the Coulomb problem with an electric charge greater than 137. In the non-relativistic limit, the theory becomes identic…

quant-ph2008★ 1 cited

Quantum Trajectory Analysis of the Two-Mode Three-Level Atom Microlaser

Tarek A. Elsayed, Abdulaziz Aljalal

We consider a single atom laser (microlaser) operating on three-level atoms interacting with a two-mode cavity. The quantum statistical properties of the cavity field at steady sta…

quant-ph2007

Solution of the wave equation in a tridiagonal representation space

E. El Aaoud, H. Bahlouli, A. D. Alhaidari

We use variable transformation from the real line to finite or semi-infinite spaces where we expand the regular solution of the 1D time-independent Schrodinger equation in terms of…

quant-ph2007★ 39 cited

Relativistic extension of the complex scaling method

A. D. Alhaidari

We construct a tridiagonal matrix representation for the three dimensions Dirac-Coulomb Hamiltonian that provides for a simple and straightforward relativistic extension of the com…

quant-ph2006★ 20 cited

Scattering theory with a natural regularization: Rediscovering the J-matrix method

A. D. Alhaidari, H. Bahlouli, M. S. Abdelmonem +2

In three dimensional scattering, the energy continuum wavefunction is obtained by utilizing two independent solutions of the reference wave equation. One of them is typically singu…