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Quantum group and quantum symmetry [PDF]
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.
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The quantum disk is not a quantum group [PDF]
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
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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
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Stabilizer Codes and Quantum Error Correction [PDF]
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
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SPACETIME OR QUANTUM PARTICLES: THE ONTOLOGY OF QUANTUM GRAVITY? [PDF]
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
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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
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Advancing hybrid quantum–classical computation with real-time execution
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
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Subgroups of quantum groups [PDF]
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.
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Infinite-dimensional Categorical Quantum Mechanics [PDF]
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
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Quantum stochastic convolution cocycles III [PDF]
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
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