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- Lieb-Robinson_bounds abstract "The Lieb-Robinson bound is a theoretical upper limit on the speed at which information can propagate in non-relativistic quantum systems. It demonstrates that information cannot travel instantaneously in quantum theory, even when the relativity limits of the speed of light are ignored.In the study of quantum systems such as quantum optics, quantum information theory, atomic physics, and condensed matter physics, it is important to know that there is a finite speed with which information can propagate. The theory of relativity shows that no information, or anything else for that matter, can travel faster than the speed of light. When non-relativistic mechanics is considered, however, (Newton's equations of motion or Schrödinger's equation of quantum mechanics) it had been thought that there is then no limitation to the speed of propagation of information. This is not so for certain kinds of quantum systems of atoms arranged in a lattice, often called quantum spin systems. This is important conceptually and practically, because it means that, for short periods of time, distant parts of a system act independently.The surprising existence of such a finite limit to the speed of propagation, up to exponentially small error terms, was discovered mathematically in 1972. It turns the locality properties of physical systems into the existence of an upper bound for this speed. This bound is known as the Lieb-Robinson bound and the speed is known as the Lieb-Robinson velocity. The velocity is not universal, because it depends on the details of the system under consideration, but, for each system, there is a finite velocity.One of the practical applications of Lieb-Robinson bounds is quantum computing. Current proposals to construct quantum computers built out of atomic-like units mostly rely on the existence of this finite speed of propagation to protect against too rapid dispersal of information.Review articles can be found in the following references, for example,".
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- Lieb-Robinson_bounds wikiPageWikiLink Atomic_physics.
- Lieb-Robinson_bounds wikiPageWikiLink Basis_(linear_algebra).
- Lieb-Robinson_bounds wikiPageWikiLink Category:Quantum_information_theory.
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- Lieb-Robinson_bounds wikiPageWikiLink Condensed_matter_physics.
- Lieb-Robinson_bounds wikiPageWikiLink Expectation_value_(quantum_mechanics).
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- Lieb-Robinson_bounds wikiPageWikiLink Quantum_computing.
- Lieb-Robinson_bounds wikiPageWikiLink Quantum_dissipation.
- Lieb-Robinson_bounds wikiPageWikiLink Quantum_information.
- Lieb-Robinson_bounds wikiPageWikiLink Quantum_mechanics.
- Lieb-Robinson_bounds wikiPageWikiLink Quantum_optics.
- Lieb-Robinson_bounds wikiPageWikiLink Schrödinger_equation.
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- Lieb-Robinson_bounds wikiPageWikiLink Special_relativity.
- Lieb-Robinson_bounds wikiPageWikiLink Speed.
- Lieb-Robinson_bounds wikiPageWikiLink Speed_of_light.
- Lieb-Robinson_bounds wikiPageWikiLink Theory_of_relativity.
- Lieb-Robinson_bounds wikiPageWikiLink Translational_symmetry.
- Lieb-Robinson_bounds wikiPageWikiLink Wikt:finite.
- Lieb-Robinson_bounds wikiPageWikiLinkText "Lieb-Robinson bounds".
- Lieb-Robinson_bounds wikiPageWikiLinkText "Lieb–Schultz–Mattis theorem".
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- Lieb-Robinson_bounds subject Category:Quantum_information_theory.
- Lieb-Robinson_bounds hypernym Limit.
- Lieb-Robinson_bounds type Stream.
- Lieb-Robinson_bounds comment "The Lieb-Robinson bound is a theoretical upper limit on the speed at which information can propagate in non-relativistic quantum systems.".
- Lieb-Robinson_bounds label "Lieb-Robinson bounds".
- Lieb-Robinson_bounds sameAs Q18353704.
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- Lieb-Robinson_bounds sameAs Q18353704.
- Lieb-Robinson_bounds wasDerivedFrom Lieb-Robinson_bounds?oldid=707309953.
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