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Статті в журналах з теми "Lieb-Robinson bound"
Matsuta, Takuro, Tohru Koma, and Shu Nakamura. "Improving the Lieb–Robinson Bound for Long-Range Interactions." Annales Henri Poincaré 18, no. 2 (October 20, 2016): 519–28. http://dx.doi.org/10.1007/s00023-016-0526-1.
Повний текст джерелаWoods, M. P., and M. B. Plenio. "Dynamical error bounds for continuum discretisation via Gauss quadrature rules—A Lieb-Robinson bound approach." Journal of Mathematical Physics 57, no. 2 (February 2016): 022105. http://dx.doi.org/10.1063/1.4940436.
Повний текст джерелаMahoney, Brendan J., and Craig S. Lent. "The Value of the Early-Time Lieb-Robinson Correlation Function for Qubit Arrays." Symmetry 14, no. 11 (October 26, 2022): 2253. http://dx.doi.org/10.3390/sym14112253.
Повний текст джерелаStrasberg, Philipp, Kavan Modi, and Michalis Skotiniotis. "How long does it take to implement a projective measurement?" European Journal of Physics 43, no. 3 (March 28, 2022): 035404. http://dx.doi.org/10.1088/1361-6404/ac5a7a.
Повний текст джерелаMoosavian, Ali Hamed, Seyed Sajad Kahani, and Salman Beigi. "Limits of Short-Time Evolution of Local Hamiltonians." Quantum 6 (June 27, 2022): 744. http://dx.doi.org/10.22331/q-2022-06-27-744.
Повний текст джерелаVershynina, Anna, and Elliott Lieb. "Lieb-Robinson bounds." Scholarpedia 8, no. 9 (2013): 31267. http://dx.doi.org/10.4249/scholarpedia.31267.
Повний текст джерелаDoyon, Benjamin. "Hydrodynamic Projections and the Emergence of Linearised Euler Equations in One-Dimensional Isolated Systems." Communications in Mathematical Physics 391, no. 1 (January 27, 2022): 293–356. http://dx.doi.org/10.1007/s00220-022-04310-3.
Повний текст джерелаIslambekov, Umar, Robert Sims, and Gerald Teschl. "Lieb–Robinson Bounds for the Toda Lattice." Journal of Statistical Physics 148, no. 3 (August 2012): 440–79. http://dx.doi.org/10.1007/s10955-012-0554-2.
Повний текст джерелаNACHTERGAELE, BRUNO, BENJAMIN SCHLEIN, ROBERT SIMS, SHANNON STARR, and VALENTIN ZAGREBNOV. "ON THE EXISTENCE OF THE DYNAMICS FOR ANHARMONIC QUANTUM OSCILLATOR SYSTEMS." Reviews in Mathematical Physics 22, no. 02 (March 2010): 207–31. http://dx.doi.org/10.1142/s0129055x1000393x.
Повний текст джерелаNachtergaele, Bruno, and Robert Sims. "Lieb-Robinson Bounds and the Exponential Clustering Theorem." Communications in Mathematical Physics 265, no. 1 (March 22, 2006): 119–30. http://dx.doi.org/10.1007/s00220-006-1556-1.
Повний текст джерелаДисертації з теми "Lieb-Robinson bound"
Islambekov, Umar. "Lieb-Robinson Bounds for the Toda Lattice." Diss., The University of Arizona, 2013. http://hdl.handle.net/10150/294026.
Повний текст джерелаBraida, Arthur. "Analog Quantum Computing for NP-Hard Combinatorial Graph Problems." Electronic Thesis or Diss., Orléans, 2024. http://www.theses.fr/2024ORLE1017.
Повний текст джерелаThe main objective of this thesis is to provide theoretical insight into the computational complexity of continuous-time quantum computing (QA and AQC), from understanding the physical phenomenon (AC) that leads to AQC failure to proving short constant-time QA efficiency. To achieve this goal, we use different analytical tools borrowed from theoretical physics like perturbative analysis of quantum systems and the Lieb-Robinson bound on the velocity of correlation in quantum systems. Graph manipulation and spectral graph theory are necessary to derive results on a specific class of graph. We also introduced a new parametrized version of the standard QA to tighten the analysis. First, we want to obtain a mathematical definition of an AC to be easier to grasp when studying a specific class of graph on which we want to solve the Maximum Cut problem. We support our new definition with a proven theorem that links it to exponentially small minimum gap and numerical evidence is brought to justify its more general nature compared to the previous one. With a perturbative analysis, we manage to show that on bipartite graphs, exponentially closing gap can arise if the graph is irregular enough. Our new definition of AC allows us to question the efficiency of AQC to solve it despite the exponentially long runtime the adiabatic theorem imposes to guarantee the optimal solution. The second axis is dedicated to the performance of QA at short constant times. Even though QA is inherently non-local, the LR bound allows us to approximate it with a local evolution. A first approach is used to develop the method and to show the non-triviality of the result, i.e. above random guess. Then we define a notion of local analysis by expressing the approximation ratio with only knowledge of the local structure. A tight and adaptive LR bound is developed allowing us to find a numerical value outperforming quantum and classical (strictly) local algorithms. All this research work has been pursued between Eviden QuantumLab team and the Graphes, Algorithmes et Modèles de Calcul (GAMoC) team at the Laboratoire d'Informatique Fondamentale d'Orléans (LIFO). The numerical work has been implemented using Julia programming Language as well as Python with the QAPTIVA software of Eviden to efficiently simulate the Schrödinger equation
Книги з теми "Lieb-Robinson bound"
Bru, J. B., and W. de Siqueira Pedra. Lieb-Robinson Bounds for Multi-Commutators and Applications to Response Theory. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-45784-0.
Повний текст джерелаLieb-Robinson Bounds for Multi-Commutators and Applications to Response Theory. Springer, 2016.
Знайти повний текст джерелаBru, J. B., and W. de Siqueira Pedra. Lieb-Robinson Bounds for Multi-Commutators and Applications to Response Theory. Springer, 2016.
Знайти повний текст джерелаЧастини книг з теми "Lieb-Robinson bound"
Naaijkens, Pieter. "Lieb-Robinson Bounds." In Quantum Spin Systems on Infinite Lattices, 109–23. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-51458-1_4.
Повний текст джерелаNaaijkens, Pieter. "Applications of Lieb-Robinson Bounds." In Quantum Spin Systems on Infinite Lattices, 151–71. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-51458-1_6.
Повний текст джерелаBru, J. B., and W. de Siqueira Pedra. "Lieb–Robinson Bounds for Multi–commutators." In Lieb-Robinson Bounds for Multi-Commutators and Applications to Response Theory, 31–61. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-45784-0_4.
Повний текст джерелаBru, J. B., and W. de Siqueira Pedra. "Lieb–Robinson Bounds for Non-autonomous Dynamics." In Lieb-Robinson Bounds for Multi-Commutators and Applications to Response Theory, 63–87. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-45784-0_5.
Повний текст джерелаBru, J. B., and W. de Siqueira Pedra. "Introduction." In Lieb-Robinson Bounds for Multi-Commutators and Applications to Response Theory, 1–4. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-45784-0_1.
Повний текст джерелаBru, J. B., and W. de Siqueira Pedra. "Algebraic Quantum Mechanics." In Lieb-Robinson Bounds for Multi-Commutators and Applications to Response Theory, 5–15. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-45784-0_2.
Повний текст джерелаBru, J. B., and W. de Siqueira Pedra. "Algebraic Setting for Interacting Fermions on the Lattice." In Lieb-Robinson Bounds for Multi-Commutators and Applications to Response Theory, 17–30. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-45784-0_3.
Повний текст джерелаBru, J. B., and W. de Siqueira Pedra. "Applications to Conductivity Measures." In Lieb-Robinson Bounds for Multi-Commutators and Applications to Response Theory, 89–101. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-45784-0_6.
Повний текст джерелаKliesch, Martin, Christian Gogolin, and Jens Eisert. "Lieb-Robinson Bounds and the Simulation of Time-Evolution of Local Observables in Lattice Systems." In Many-Electron Approaches in Physics, Chemistry and Mathematics, 301–18. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-06379-9_17.
Повний текст джерелаCheneau, Marc. "Experimental tests of Lieb–Robinson bounds." In The Physics and Mathematics of Elliott Lieb, 225–45. EMS Press, 2022. http://dx.doi.org/10.4171/90-1/10.
Повний текст джерелаТези доповідей конференцій з теми "Lieb-Robinson bound"
NACHTERGAELE, BRUNO. "LIEB–ROBINSON BOUNDS AND THE EXISTENCE OF INFINITE SYSTEM DYNAMICS." In XVIth International Congress on Mathematical Physics. WORLD SCIENTIFIC, 2010. http://dx.doi.org/10.1142/9789814304634_0028.
Повний текст джерелаSIMS, ROBERT. "LIEB-ROBINSON BOUNDS AND QUASI-LOCALITY FOR THE DYNAMICS OF MANY-BODY QUANTUM SYSTEMS." In Proceedings of the QMath11 Conference. WORLD SCIENTIFIC, 2011. http://dx.doi.org/10.1142/9789814350365_0007.
Повний текст джерела