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See detailQuantization of spectral curves and DQ-modules
Petit, François UL

Presentation (2016, July 28)

Detailed reference viewed: 64 (3 UL)
See detailQuantization of spectral curves and DQ-modules
Petit, François UL

Presentation (2016)

Detailed reference viewed: 57 (1 UL)
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See detailQuantization of spectral curves and DQ-modules
Petit, François UL

in Journal of Noncommutative Geometry (2018)

Given an holomorphic Higgs bundle on a compact Riemann surface of genus greater than one, we prove the existence of an holonomic DQ-module supported by the spectral curve associated to this bundle. Then ... [more ▼]

Given an holomorphic Higgs bundle on a compact Riemann surface of genus greater than one, we prove the existence of an holonomic DQ-module supported by the spectral curve associated to this bundle. Then, we relate quantum curves arising in various situations (quantization of spectral curves of Higgs Bundles, quantization of the A-polynomial...) to DQ-modules and show that a quantum curve and the DQ-module canonically associated to it have isomorphic sheaves of solutions. [less ▲]

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See detailQuantized Anti de Sitter spaces and non-formal deformation quantizations of symplectic symmetric spaces
Bieliavsky, Pierre; Claessens, Laurent; Sternheimer, Daniel et al

in Dito, Giuseppe; Lu, Jiang-Hua; Maeda, Yoshiaki (Eds.) et al Poisson Geometry in Mathematics and Physics (2008)

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See detailQuantized Matrix Algebras and Quantum seeds
Pagani, Chiara UL; Jakobsen, Hans Plesner

E-print/Working paper (2015)

We determine explicit quantum seeds for classes of quantized matrix algebras. Furthermore, we obtain results on centers and block diagonal for ms of these algebras. In the case where q is an arbitrary ... [more ▼]

We determine explicit quantum seeds for classes of quantized matrix algebras. Furthermore, we obtain results on centers and block diagonal for ms of these algebras. In the case where q is an arbitrary root of unity, this further determines the degrees. [less ▲]

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See detailQuantum and Information Thermodynamics: A Unifying Framework Based on Repeated Interactions
Strasberg, Philipp UL; Schaller, Gernot; Brandes, Tobias et al

in Physical Review X (2017), 7(021003),

We expand the standard thermodynamic framework of a system coupled to a thermal reservoir by <br />considering a stream of independently prepared units repeatedly put into contact with the system. These ... [more ▼]

We expand the standard thermodynamic framework of a system coupled to a thermal reservoir by <br />considering a stream of independently prepared units repeatedly put into contact with the system. These <br />units can be in any nonequilibrium state and interact with the system with an arbitrary strength and <br />duration. We show that this stream constitutes an effective resource of nonequilibrium free energy, and we <br />identify the conditions under which it behaves as a heat, work, or information reservoir. We also show that <br />this setup provides a natural framework to analyze information erasure (“Landauer’s principle”) and <br />feedback-controlled systems (“Maxwell’s demon”). In the limit of a short system-unit interaction time, we <br />further demonstrate that this setup can be used to provide a thermodynamically sound interpretation to <br />many effective master equations. We discuss how nonautonomously driven systems, micromasers, lasing <br />without inversion and the electronic Maxwell demon can be thermodynamically analyzed within our <br />framework. While the present framework accounts for quantum features (e.g., squeezing, entanglement, <br />coherence), we also show that quantum resources do not offer any advantage compared to classical ones in <br />terms of the maximum extractable work. [less ▲]

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See detailQuantum dynamics of interaction of elementary detector with single-mode multiphoton states of electromagnetic field
Ignatenko, Andrew UL; Kilin, Sergei

in Optics & Spectroscopy (2010), 108(3), 412-416

The dynamics of the elementary photoelectric conversion in the interaction of a single-mode electromagnetic field with an arbitrary photon number distribution and a bound electron in a 1D rectangular ... [more ▼]

The dynamics of the elementary photoelectric conversion in the interaction of a single-mode electromagnetic field with an arbitrary photon number distribution and a bound electron in a 1D rectangular potential well is considered. It is shown that if the frequency of the coherent field exceeds the frequency corresponding to the electron work function, the photoexcitation of this electron is incomplete. [less ▲]

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See detailQuantum dynamics of single-photon detection
Ignatenko, Andrew UL; Kilin, Sergei

in Optics & Spectroscopy (2007), 103(1), 121-128

Dynamics of the elementary photoelectric conversion upon interaction of a single-photon mode with a bound electron in a one-dimensional rectangular potential well is considered. The spatial and temporal ... [more ▼]

Dynamics of the elementary photoelectric conversion upon interaction of a single-photon mode with a bound electron in a one-dimensional rectangular potential well is considered. The spatial and temporal dynamics of the wave packet corresponding to a free photoelectron is investigated. [less ▲]

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See detailQuantum groups and the recovery of the U(3) symmetry in the hamiltonian of the nuclear shell model
del Sol Mesa, Antonio UL

in Journal of Physics : A Mathematical & General (1993)

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See detailQuantum Interference Effects in Resonant Raman Spectroscopy of Single- and Triple-Layer MoTe2 from First-Principles
Pereira Coutada Miranda, Henrique UL; Reichardt, Sven UL; Froehlicher, Guillaume et al

in Nano Letters (2017), 17(4), 2381--2388

We present a combined experimental and theoretical study of resonant Raman spectroscopy in single- and triple-layer MoTe2. Raman intensities are computed entirely from first-principles by calculating ... [more ▼]

We present a combined experimental and theoretical study of resonant Raman spectroscopy in single- and triple-layer MoTe2. Raman intensities are computed entirely from first-principles by calculating finite differences of the dielectric susceptibility. In our analysis, we investigate the role of quantum interference effects and the electron−phonon coupling. With this method, we explain the experimentally observed intensity inversion of the A′1 vibrational modes in triple-layer MoTe2 with increasing laser photon energy. Finally, we show that a quantitative comparison with experimental data requires the proper inclusion of excitonic effects. [less ▲]

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See detailQuantum Logic
Gabbay, Dov M. UL; Engesser, Kurt; Lehmann, D.

Book published by College publications (2008)

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See detailQuantum Machine Learning for 6G Communication Networks: State-of-the-Art and Vision for the Future
Nawaz, Sayed Junaid; Sharma, Shree Krishna UL; Wyne, Shurjeel et al

in IEEE Access (2019)

The upcoming 5th Generation (5G) of wireless networks is expected to lay a foundation of intelligent networks with the provision of some isolated Artificial Intelligence (AI) operations. However, fully ... [more ▼]

The upcoming 5th Generation (5G) of wireless networks is expected to lay a foundation of intelligent networks with the provision of some isolated Artificial Intelligence (AI) operations. However, fully-intelligent network orchestration and management for providing innovative services will only be realized in Beyond 5G (B5G) networks. To this end, we envisage that the 6th Generation (6G) of wireless networks will be driven by on-demand self-reconfiguration to ensure a many-fold increase in the network performanceandservicetypes.Theincreasinglystringentperformancerequirementsofemergingnetworks may finally trigger the deployment of some interesting new technologies such as large intelligent surfaces, electromagnetic-orbital angular momentum, visible light communications and cell-free communications – tonameafew.Ourvisionfor6Gis–amassivelyconnectedcomplexnetworkcapableofrapidlyresponding to the users’ service calls through real-time learning of the network state as described by the network-edge (e.g., base-station locations, cache contents, etc.), air interface (e.g., radio spectrum, propagation channel, etc.), and the user-side (e.g., battery-life, locations, etc.). The multi-state, multi-dimensional nature of the network state, requiring real-time knowledge, can be viewed as a quantum uncertainty problem. In this regard, the emerging paradigms of Machine Learning (ML), Quantum Computing (QC), and Quantum ML (QML) and their synergies with communication networks can be considered as core 6G enablers. Considering these potentials, starting with the 5G target services and enabling technologies, we provide a comprehensivereviewoftherelatedstate-of-the-artinthedomainsofML(includingdeeplearning),QCand QML, and identify their potential benefits, issues and use cases for their applications in the B5G networks. Subsequently,weproposeanovelQC-assistedandQML-basedframeworkfor6Gcommunicationnetworks whilearticulatingitschallengesandpotentialenablingtechnologiesatthenetwork-infrastructure,networkedge, air interface and user-end. Finally, some promising future research directions for the quantum- and QML-assisted B5G networks are identified and discussed. [less ▲]

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See detailQuantum master equation for a system influencing its environment
Esposito, Massimiliano UL; Gaspard, P.

in Physical Review E (2003), 68(6),

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See detailQuantum master equation for electron transport through quantum dots and single molecules
Harbola, Upendra; Esposito, Massimiliano UL; Mukamel, Shaul

in Physical Review B (2006), 74(23),

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See detailQuantum master equation for the microcanonical ensemble
Esposito, Massimiliano UL; Gaspard, Pierre

in Physical Review E (2007), 76(4),

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See detailQuantum mechanics of proteins in explicit water: The role of plasmon-like solute-solvent interactions
Stoehr, Martin UL; Tkatchenko, Alexandre UL

in Science Advances (2019), 5(12), 0024

Quantum-mechanical van der Waals dispersion interactions play an essential role in intraprotein and protein-water interactions—the two main factors affecting the structure and dynamics of proteins in ... [more ▼]

Quantum-mechanical van der Waals dispersion interactions play an essential role in intraprotein and protein-water interactions—the two main factors affecting the structure and dynamics of proteins in water. Typically, these interactions are only treated phenomenologically, via pairwise potential terms in classical force fields. Here, we use an explicit quantum-mechanical approach of density-functional tight-binding combined with the many-body dispersion formalism and demonstrate the relevance of many-body van der Waals forces both to protein energetics and to protein-water interactions. In contrast to commonly used pairwise approaches, many-body effects substantially decrease the relative stability of native states in the absence of water. Upon solvation, the protein-water dispersion interaction counteracts this effect and stabilizes native conformations and transition states. These observations arise from the highly delocalized and collective character of the interactions, suggesting a remarkable persistence of electron correlation through aqueous environments and providing the basis for long-range interaction mechanisms in biomolecular systems. [less ▲]

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See detailQuantum moment maps and retracts for bounded symmetric domains
Korvers, Stéphane UL

E-print/Working paper (2017)

Detailed reference viewed: 38 (3 UL)
See detailQuantum moment maps and retracts for symmetric bounded domains
Korvers, Stéphane UL

Poster (2015, October)

Detailed reference viewed: 34 (1 UL)
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See detailQuantum States and Disjunctive Attacks in Talmudic Logic
Abraham, Michael; Belfer, Israel; Schild, Uri et al

in Journal of Logics (2016)

Detailed reference viewed: 48 (0 UL)