00461nas a2200169   4500000000100000000000100001008004100002260000800043100002100051700001900072700001500091700001400106700001900120245008700139856005700226490000800283       2021                            d  cMar1 aZakaria Mzaouali1 aRicardo Puebla1 aJohn Goold1 aMorad Baz1 aSteve Campbell00aWork statistics and symmetry breaking in an excited-state quantum phase transition  uhttps://link.aps.org/doi/10.1103/PhysRevE.103.0321450 v10301420nas a2200157   4500000000100000000000100001008004100002100002100043700001900064700001400083245008400097856007200181490000800253520098700261022001401248       2019                            d1 aZakaria Mzaouali1 aSteve Campbell1 aMorad Baz00aDiscrete and generalized phase space techniques in critical quantum spin chains  uhttps://www.sciencedirect.com/science/article/pii/S03759601193077650 v3833 a<p>We apply the Wigner function formalism from quantum optics via two approaches, Wootters' discrete Wigner function and the generalized Wigner function, to detect quantum phase transitions in critical spin-12 systems. We develop a general formula relating the phase space techniques and the thermodynamical quantities of spin models, which we apply to single, bipartite and multi-partite systems governed by the XY and the XXZ models. Our approach allows us to introduce a novel way to represent, detect, and distinguish first-, second- and infinite-order quantum phase transitions. Furthermore, we show that the factorization phenomenon of the XY model is only directly detectable by quantities based on the square root of the bipartite reduced density matrix. We establish that phase space techniques provide a simple, experimentally promising tool in the study of many-body systems and we discuss their relation with measures of quantum correlations and quantum coherence.</p>
  a0375-960101519nas a2200145   4500000000100000000000100001008004100002100002100043700001400064245009000078856007200168490000800240520111100248022001401359       2019                            d1 aZakaria Mzaouali1 aMorad Baz00aLong range quantum coherence, quantum & classical correlations in Heisenberg XX chain  uhttps://www.sciencedirect.com/science/article/pii/S03784371183149970 v5183 a<p>A comparative study of pairwise quantum coherence, quantum and classical correlations is addressed for non-nearest spin pairs of the 1D Heisenberg spin-12 XX chain. Following the Jordan–Wigner mapping, we diagonalize the hamiltonian of the chain and we check this procedure numerically as well. Using the “Pauli basis expansion” formalism we get the pairwise quantities studied in this work at any distance. We then, show the role of quantum correlations in revealing quantum phase transitions, the robustness of quantum discord to the temperature and the dominance of quantum correlations over their classical counterpart in the magnetic and thermal interval in quantum spin chains. We conclude the paper by shedding light from a resource-driven point of view on the new born quantity “quantum coherence” where we discuss its role in detecting quantum phase transitions being a long-range quantity, and how it outclasses the usual quantum correlations measures in the robustness against the temperature, which indicates potential uses in the framework of quantum information processing.</p>
  a0378-437101349nas a2200157   4500000000100000000000100001008004100002260001200043100001700055700002100072700001400093245010100107856005500208490000700263520092100270       2023                            d  c01/20231 aSanaa Abaach1 aZakaria Mzaouali1 aMorad Baz00aLong Distance Entanglement and High-Dimensional Quantum Teleportation in The Fermi-Hubbard Model  uhttps://www.nature.com/articles/s41598-023-28180-40 v133 a<blockquote>The long distance entanglement in finite size open Fermi-Hubbard chains, together with the end-to-end quantum teleportation are investigated. We show the peculiarity of the ground state of the Fermi-Hubbard model to support maximum long distance entanglement, which allows it to operate as a quantum resource for high fidelity long distance quantum teleportation. We determine the physical properties and conditions for creating scalable long distance entanglement and analyze its stability under the effect of the Coulomb interaction and the hopping amplitude. Furthermore, we show that the choice of the measurement basis in the protocol can drastically affect the fidelity of quantum teleportation and we argue that perfect information transfer can be attained by choosing an adequate basis reflecting the salient properties of the quantum channel, i.e. Hubbard projective measurements.</blockquote>
00448nas a2200145   4500000000100000000000100001008004100002100002600043700002100069700002200090700002300112245010500135856005500240490000700295       2024                            d1 aTomasz Śmierzchalski1 aZakaria Mzaouali1 aSebastian Deffner1 aBartłomiej Gardas00aEfficiency Optimization in Quantum Computing: Balancing Thermodynamics and Computational Performance  uhttps://www.nature.com/articles/s41598-024-55314-z0 v1400503nas a2200181   4500000000100000000000100001008004100002260001800043100001900061700001900080700001400099700002200113700002300135700002100158245007700179856005700256490000800313       2024                            d  c12 July, 20241 aKhadija Hawary1 aMohamed Azzouz1 aMorad Baz1 aSebastian Deffner1 aBartłomiej Gardas1 aZakaria Mzaouali00aNavigating the phase diagram of quantum many-body systems in phase space  uhttps://link.aps.org/doi/10.1103/PhysRevE.110.0141200 v11000542nas a2200169   4500000000100000000000100001008004100002260010600043100002000149700001700169700002100186700002100207700002300228700002200251245004900273856005000322       2025                            d  c12/2025bIEEE International Conference on Quantum Computing and Engineering (QCE25)aAlbuquerque, USA1 aReece Robertson1 aEmery Doucet1 aZakaria Mzaouali1 aKrzysztof Domino1 aBartłomiej Gardas1 aSebastian Deffner00aSimon's Period Finding on a Quantum Annealer  uhttps://ieeexplore.ieee.org/document/1125034401466nas a2200205   4500000000100000000000100001008004100002100002600043700001800069700002300087700002100110700001900131700002300150700001500173245010500188856007200293490000700365520087400372022001401246       2025                            d1 aTomasz Śmierzchalski1 aAnna Dziubyna1 aKonrad Jałowiecki1 aZakaria Mzaouali1 aŁukasz Pawela1 aBartłomiej Gardas1 aMarek Rams00aSpinGlassPEPS.jl: Tensor-network package for Ising-like optimization on quasi-two-dimensional graphs  uhttps://www.sciencedirect.com/science/article/pii/S23527110250022490 v313 a<p>This work introduces SpinGlassPEPS.jl, a software package implemented in Julia, designed to find low-energy configurations of generalized Potts models, including Ising and QUBO problems, utilizing heuristic tensor network contraction algorithms on quasi-2D geometries. In particular, the package employs the Projected Entangled-Pairs States to approximate the Boltzmann distribution corresponding to the model’s cost function. This enables an efficient branch-and-bound search (within the probability space) that exploits the locality of the underlying problem’s topology. As a result, our software enables the discovery of low-energy configurations for problems on quasi-2D graphs, particularly those relevant to modern quantum annealing devices. The modular architecture of SpinGlassPEPS.jl supports various contraction schemes and hardware acceleration.</p>
  a2352-711000448nas a2200157   4500000000100000000000100001008004100002260001500043100002100058700002100079700002100100700002300121245007300144856006600217490000700283       2026                            d  c21/04/20261 aPhilipp Hanussek1 aJakub Pawłowski1 aZakaria Mzaouali1 aBartłomiej Gardas00aQuantum-inspired dynamical models on quantum and classical annealers  uhttps://journals.aps.org/prapplied/abstract/10.1103/rrf3-jm5m0 v2500402nas a2200145   4500000000100000000000100001008004100002100001800043700001900061700002400080700002100104700002400125700002100149245008600170                                       d1 aEwa Kędziera1 aWojciech Gamon1 aMátyás Koniorczyk1 aZakaria Mzaouali1 aAndrea Galadíková1 aKrzysztof Domino00aEMU circulation planning for Silesian Railways: case study and a quantum approach00429nas a2200169   4500000000100000000000100001008004100002260001200043100001700055700002100072700002000093700002300113700002200136700002100158245006900179300001100248       2026                            d  c05/20261 aEmery Doucet1 aZakaria Mzaouali1 aReece Robertson1 aBartłomiej Gardas1 aSebastian Deffner1 aKrzysztof Domino00aThermodynamic significance of QUBO encoding on quantum annealers  a05451200409nas a2200145   4500000000100000008004100001100002000042700002600062700001700088700002300105700002200128700002100150245005500171856003700226       2026                            d1 aJakub Pawlowski1 aTomasz Śmierzchalski1 aFengping Jin1 aBartłomiej Gardas1 aSebastian Deffner1 aZakaria Mzaouali00aQuantum annealers as programmable thermal machines  uhttps://arxiv.org/abs/2608.04564