Results 111 to 120 of about 110,593 (279)
Spectral form factor as an OTOC averaged over the Heisenberg group
Physics Letters B, 2019 We prove that in bosonic quantum mechanics the two-point spectral form factor can be obtained as an average of the two-point out-of-time ordered correlation function, with the average taken over the Heisenberg group.
Robert de Mello Koch +3 more
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$C^{*}$-Rigidity of the Heisenberg Group
Publications of the Research Institute for Mathematical SciencesWe prove that the Heisenberg groups can be distinguished from the other connected and simply connected Lie groups via their group C^{*} -algebras. The main step of the proof is a characterization of the nilpotent Lie groups among the solvable Lie groups solely in terms of topological ...
Ingrid Beltiţă, Daniel Beltiţă
openaire +2 more sources
Hypoellipticity on the Heisenberg Group-Representation-Theoretic Criteria [PDF]
, 1978 Charles Rockland
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Nuclear Physics in the Era of Quantum Computing and Quantum Machine Learning
Advanced Quantum Technologies, EarlyView.The use of QML in the realm of nuclear physics at low energy is almost nonexistent. Three examples of the use of quantum computing and quantum machine in nuclear physics are presented: the determination of the phase/shape in nuclear models, the calculation of the ground state energy, and the identification of particles in nuclear physics experiments ...
José‐Enrique García‐Ramos +4 more
wiley +1 more source
The Geometry of the Osculating Nilpotent Group Structures of the Heisenberg Calculus
, 2014 We explore the geometry that underlies the osculating nilpotent group structures of the Heisenberg calculus. For a smooth manifold $M$ with a distribution $H\subseteq TM$ analysts use explicit (and rather complicated) coordinate formulas to define the ...
Julg, Pierre, van Erp, Erik
core
It is known that an abelian group $A$ and a $2$-cocycle $c:A \times A \to C$ yield a group ${\mathscr{H}}(A,C,c)$ which we call a Heisenberg group. This group, a central extension of $A$, is the archetype of a class~$2$ nilpotent group. In this note, we prove that under mild conditions, any class~$2$ nilpotent group $G$ is equivalent as an extension of
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Entanglement Swapping for Partially Entangled Qudits and the Role of Quantum Complementarity
Advanced Quantum Technologies, EarlyView.The entanglement swapping protocol is extended to partially entangled qudit states and analyzed through complete complementarity relations. Analytical bounds on the average distributed entanglement are established, showing how the initial local predictability and entanglement constrain the operational distribution.
Diego S. Starke +3 more
wiley +1 more source
A kinematic model of stick‐insect walking
Physiological Reports, 2019 Animal, and insect walking (locomotion) in particular, have attracted much attention from scientists over many years up to now. The investigations included behavioral, electrophysiological experiments, as well as modeling studies.
Tibor I. Tóth, Silvia Daun
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A Restriction Theorem for M\'etivier Groups
, 2013 In the spirit of an earlier result of M\"uller on the Heisenberg group we prove a restriction theorem on a certain class of two step nilpotent Lie groups.
Casarino, Valentina, Ciatti, Paolo
core
Crossing and Anticrossing of Exchange‐Coupled Molecular Spin Excitation Energy Levels
Small, EarlyView.Orientation matters: The excitation energy levels of exchange‐coupled spins of two nickelocene molecules anchored to superconducting electrodes are explored via inelastic electron tunneling spectroscopy. Depending on the tilt angle of the single‐molecule magnetic probe the levels cross or exhibit avoided crossing. Abstract The superconducting Pb tip of
Lorenz Meyer +4 more
wiley +1 more source