Relevant bibliographies by topics / Lieb-Robinson bound

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  2. Dissertations / Theses
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  5. Conference papers

Academic literature on the topic 'Lieb-Robinson bound'

Author: Grafiati
Published: 28 September 2024
Last updated: 31 July 2025

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Journal articles on the topic "Lieb-Robinson bound"

1

Matsuta, Takuro, Tohru Koma, and Shu Nakamura. "Improving the Lieb–Robinson Bound for Long-Range Interactions." Annales Henri Poincaré 18, no. 2 (2016): 519–28. http://dx.doi.org/10.1007/s00023-016-0526-1.

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Woods, 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 (2016): 022105. http://dx.doi.org/10.1063/1.4940436.

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Mahoney, Brendan J., and Craig S. Lent. "The Value of the Early-Time Lieb-Robinson Correlation Function for Qubit Arrays." Symmetry 14, no. 11 (2022): 2253. http://dx.doi.org/10.3390/sym14112253.

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The Lieb-Robinson correlation function is one way to capture the propagation of quantum entanglement and correlations in many-body systems. We consider arrays of qubits described by the tranverse-field Ising model and examine correlations as the expanding front of entanglement first reaches a particular qubit. Rather than a new bound for the correlation function, we calculate its value, both numerically and analytically. A general analytical result is obtained that enables us to analyze very large arrays of qubits. The velocity of the entanglement front saturates to a constant value, for which
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Strasberg, Philipp, Kavan Modi, and Michalis Skotiniotis. "How long does it take to implement a projective measurement?" European Journal of Physics 43, no. 3 (2022): 035404. http://dx.doi.org/10.1088/1361-6404/ac5a7a.

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Abstract According to the Schrödinger equation, a closed quantum system evolves continuously in time. If it is subject to a measurement however, its state changes randomly and discontinuously, which is mathematically described by the projection postulate. But how long does it take for this discontinuous change to occur? Based on simple estimates, whose validity rests solely on the fact that all fundamental forces in nature are finite-ranged, we show that the implementation of a quantum measurement requires a minimum time. This time scales proportionally with the diameter of the quantum mechani
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Moosavian, 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.

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Evolutions of local Hamiltonians in short times are expected to remain local and thus limited. In this paper, we validate this intuition by proving some limitations on short-time evolutions of local time-dependent Hamiltonians. We show that the distribution of the measurement output of short-time (at most logarithmic) evolutions of local Hamiltonians are concentrated and satisfy an isoperimetric inequality. To showcase explicit applications of our results, we study the MAXCUT problem and conclude that quantum annealing needs at least a run-time that scales logarithmically in the problem size t
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Vershynina, Anna, and Elliott Lieb. "Lieb-Robinson bounds." Scholarpedia 8, no. 9 (2013): 31267. http://dx.doi.org/10.4249/scholarpedia.31267.

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Doyon, Benjamin. "Hydrodynamic Projections and the Emergence of Linearised Euler Equations in One-Dimensional Isolated Systems." Communications in Mathematical Physics 391, no. 1 (2022): 293–356. http://dx.doi.org/10.1007/s00220-022-04310-3.

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AbstractOne of the most profound questions of mathematical physics is that of establishing from first principles the hydrodynamic equations in large, isolated, strongly interacting many-body systems. This involves understanding relaxation at long times under reversible dynamics, determining the space of emergent collective degrees of freedom (the ballistic waves), showing that projection occurs onto them, and establishing their dynamics (the hydrodynamic equations). We make progress in these directions, focussing for simplicity on one-dimensional systems. Under a model-independent definition o
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8

Islambekov, Umar, Robert Sims, and Gerald Teschl. "Lieb–Robinson Bounds for the Toda Lattice." Journal of Statistical Physics 148, no. 3 (2012): 440–79. http://dx.doi.org/10.1007/s10955-012-0554-2.

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NACHTERGAELE, 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 (2010): 207–31. http://dx.doi.org/10.1142/s0129055x1000393x.

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We construct a W*-dynamical system describing the dynamics of a class of anharmonic quantum oscillator lattice systems in the thermodynamic limit. Our approach is based on recently proved Lieb–Robinson bounds for such systems on finite lattices [19].
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Nachtergaele, Bruno, and Robert Sims. "Lieb-Robinson Bounds and the Exponential Clustering Theorem." Communications in Mathematical Physics 265, no. 1 (2006): 119–30. http://dx.doi.org/10.1007/s00220-006-1556-1.

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Dissertations / Theses on the topic "Lieb-Robinson bound"

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Islambekov, Umar. "Lieb-Robinson Bounds for the Toda Lattice." Diss., The University of Arizona, 2013. http://hdl.handle.net/10150/294026.

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We study locality properties of the Toda lattice in terms of Lieb-Robinson bounds. The estimates we prove produce a finite Lieb-Robinson velocity depending on the initial condition. Then we establish analogous results for certain perturbations of the Toda system. Finally, we obtain generalizations of our main results in the setting of the Toda hierarchy.
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Braida, Arthur. "Analog Quantum Computing for NP-Hard Combinatorial Graph Problems." Electronic Thesis or Diss., Orléans, 2024. http://www.theses.fr/2024ORLE1017.

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L'objectif principal de cette thèse est de fournir un éclairage théorique de la complexité du calcul quantique en temps continu (QA et AQC), de la compréhension du phénomène physique (AC) qui conduit à l'échec de l'AQC jusqu'à des preuves de performance de QA en temps court et constant. Pour atteindre cet objectif, nous utilisons différents outils analytiques empruntés à la physique théorique, comme l'analyse perturbative des systèmes quantiques et la borne de Lieb-Robinson sur la vitesse de corrélation dans les systèmes quantiques. La manipulation des graphes et la théorie spectrale des graph
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Books on the topic "Lieb-Robinson bound"

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Bru, J. B., and W. de Siqueira Pedra. Lieb-Robinson Bounds for Multi-Commutators and Applications to Response Theory. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-45784-0.

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Lieb-Robinson Bounds for Multi-Commutators and Applications to Response Theory. Springer, 2016.

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Bru, J. B., and W. de Siqueira Pedra. Lieb-Robinson Bounds for Multi-Commutators and Applications to Response Theory. Springer, 2016.

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Book chapters on the topic "Lieb-Robinson bound"

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Naaijkens, Pieter. "Lieb-Robinson Bounds." In Quantum Spin Systems on Infinite Lattices. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-51458-1_4.

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Naaijkens, Pieter. "Applications of Lieb-Robinson Bounds." In Quantum Spin Systems on Infinite Lattices. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-51458-1_6.

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Bru, 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. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-45784-0_4.

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Bru, 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. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-45784-0_5.

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Bru, J. B., and W. de Siqueira Pedra. "Introduction." In Lieb-Robinson Bounds for Multi-Commutators and Applications to Response Theory. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-45784-0_1.

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Bru, J. B., and W. de Siqueira Pedra. "Algebraic Quantum Mechanics." In Lieb-Robinson Bounds for Multi-Commutators and Applications to Response Theory. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-45784-0_2.

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Bru, 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. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-45784-0_3.

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Bru, J. B., and W. de Siqueira Pedra. "Applications to Conductivity Measures." In Lieb-Robinson Bounds for Multi-Commutators and Applications to Response Theory. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-45784-0_6.

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Kliesch, 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. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-06379-9_17.

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Cheneau, Marc. "Experimental tests of Lieb–Robinson bounds." In The Physics and Mathematics of Elliott Lieb. EMS Press, 2022. http://dx.doi.org/10.4171/90-1/10.

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Conference papers on the topic "Lieb-Robinson bound"

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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.

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SIMS, 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.

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You might also be interested in the extended bibliographies on the topic 'Lieb-Robinson bound' for particular source types:
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