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Quantum group and quantum symmetry [PDF]

open access: yesPhysics Reports, 1995
This is a self-contained review on the theory of quantum group and its applications to modern physics. A brief introduction is given to the Yang-Baxter equation in integrable quantum field theory and lattice statistical physics. The quantum group is primarily introduced as a systematic method for solving the Yang-Baxter equation.
openaire   +2 more sources

The quantum disk is not a quantum group [PDF]

open access: yesJournal of Topology and Analysis, 2021
In this paper, we show that the quantum disk, i.e. the quantum space corresponding to the Toeplitz [Formula: see text]-algebra does not admit any compact quantum group structure. We prove that if such a structure existed the resulting compact quantum group would simultaneously be of Kac type and not of Kac type.
Sołtan, Piotr, Krajczok, Jacek
openaire   +4 more sources

Direct observation of ultrafast exciton localization in an organic semiconductor with soft X-ray transient absorption spectroscopy

open access: yesNature Communications, 2022
A detailed understanding of ultrafast exciton dynamics is crucial for improving the efficiency of organic light-harvesting-devices. Here, the authors track exciton localization on a sub-50 fs timescale in an organic semiconductor using time resolved soft
D. Garratt   +13 more
doaj   +1 more source

Stabilizer Codes and Quantum Error Correction [PDF]

open access: yes, 1997
Controlling operational errors and decoherence is one of the major challenges facing the field of quantum computation and other attempts to create specified many-particle entangled states.
Daniel Gottesman, Gottesman, Daniel Eric
core   +1 more source

SPACETIME OR QUANTUM PARTICLES: THE ONTOLOGY OF QUANTUM GRAVITY? [PDF]

open access: yes, 1996
The domains of quantum theory and general relativity overlap in situations where quantum mechanical effects cannot be ignored. In order to deal with this overlap of theoretical domains, there has been a tendency to apply the rules of quantum field theory
Peter J. Riggs   +2 more
core   +1 more source

High-Fidelity Control of Superconducting Qubits Using Direct Microwave Synthesis in Higher Nyquist Zones

open access: yesIEEE Transactions on Quantum Engineering, 2020
Control electronics for superconducting quantum processors have strict requirements for accurate command of the sensitive quantum states of their qubits. Hinging on the purity of ultra-phase-stable oscillators to upconvert very-low-noise baseband pulses,
William D. Kalfus   +7 more
doaj   +1 more source

Advancing hybrid quantum–classical computation with real-time execution

open access: yesFrontiers in Physics, 2022
The use of mid-circuit measurement and qubit reset within quantum programs has been introduced recently and several applications demonstrated that perform conditional branching based on these measurements.
Thomas Lubinski   +6 more
doaj   +1 more source

Subgroups of quantum groups [PDF]

open access: yesThe Quarterly Journal of Mathematics, 2018
Abstract We investigate the notion of a subgroup of a quantum group. We suggest a general definition, which takes into account the work that has been done for quantum homogeneous spaces. We further restrict our attention to reductive subgroups, where some faithful flatness conditions apply.
openaire   +2 more sources

Infinite-dimensional Categorical Quantum Mechanics [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2017
We use non-standard analysis to define a category *Hilb suitable for categorical quantum mechanics in arbitrary separable Hilbert spaces, and we show that standard bounded operators can be suitably embedded in it.
Stefano Gogioso, Fabrizio Genovese
doaj   +1 more source

Quantum stochastic convolution cocycles III [PDF]

open access: yes, 2011
The theory of quantum Levy processes on a compact quantum group, and more generally quantum stochastic convolution cocycles on a C*-bialgebra, is extended to locally compact quantum groups and multiplier C*-bialgebras.
Skalski, Adam G.   +3 more
core   +1 more source

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