THE K-THEORY OF FREE QUANTUM GROUPS 1. Introduction A
... special case l = 0 and P1 = · · · = Pk = 1 ∈ GL1 (C) of this family reduces to the classical free group Fk on k generators. In order to explain our notation let us briefly review some definitions. Given a matrix Q ∈ GLn (C), the full C ∗ -algebra of the free unitary quantum group FU (Q) is the unive ...
... special case l = 0 and P1 = · · · = Pk = 1 ∈ GL1 (C) of this family reduces to the classical free group Fk on k generators. In order to explain our notation let us briefly review some definitions. Given a matrix Q ∈ GLn (C), the full C ∗ -algebra of the free unitary quantum group FU (Q) is the unive ...
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[Grosche] SecII - Stony Brook Mathematics
... D. Now let Ψ ∈ D. Then s → Ψs is a continuous map from [0, T ] into D, so that {Ψs |0 ≤ s ≤ T } is compact in D. Thus the right-hand side of equation (1.14) goes to zero as N → ∞ The proof of equation (1.10) is similar. ...
... D. Now let Ψ ∈ D. Then s → Ψs is a continuous map from [0, T ] into D, so that {Ψs |0 ≤ s ≤ T } is compact in D. Thus the right-hand side of equation (1.14) goes to zero as N → ∞ The proof of equation (1.10) is similar. ...
Superconducting Circuits and Quantum Computation—T. P. Orlando
... The energy levels of the ground state (dark line) and the first excited state (light line) are shown in Figure 1c near the applied magnetic field of 0.5 Φ0 in the qubit loop. Classically the Josephson energy of the two states would be degenerate at this bias magnetic field and increase or decrease l ...
... The energy levels of the ground state (dark line) and the first excited state (light line) are shown in Figure 1c near the applied magnetic field of 0.5 Φ0 in the qubit loop. Classically the Josephson energy of the two states would be degenerate at this bias magnetic field and increase or decrease l ...
Microscopy of 2D Fermi Gases - Institut für Laserphysik
... This thesis presents experiments on 3D and 2D ultracold fermionic 6 Li gases providing local access to microscopic quantum many-body physics. A broad magnetic Feshbach resonance is used to tune the inter-particle interaction strength freely to address the entire Bose-Einstein condensate (BEC)-Bardee ...
... This thesis presents experiments on 3D and 2D ultracold fermionic 6 Li gases providing local access to microscopic quantum many-body physics. A broad magnetic Feshbach resonance is used to tune the inter-particle interaction strength freely to address the entire Bose-Einstein condensate (BEC)-Bardee ...
QUANTUM STATES, ENTANGLEMENT and CLOSED TIMELIKE
... such computation on a mixture of inputs is not a convex combination of its output on the pure components of the mixture. • Nature of density operator (proper vs improper mixture). • Nature of Entangled sates. • Cloning of arbitrary state in the presence of CTC. left-logo ...
... such computation on a mixture of inputs is not a convex combination of its output on the pure components of the mixture. • Nature of density operator (proper vs improper mixture). • Nature of Entangled sates. • Cloning of arbitrary state in the presence of CTC. left-logo ...
Experimental one-way quantum computing
... Standard quantum computation is based on sequences of unitary quantum logic gates that process qubits. The one-way quantum computer proposed by Raussendorf and Briegel is entirely different. It has changed our understanding of the requirements for quantum computation and more generally how we think ...
... Standard quantum computation is based on sequences of unitary quantum logic gates that process qubits. The one-way quantum computer proposed by Raussendorf and Briegel is entirely different. It has changed our understanding of the requirements for quantum computation and more generally how we think ...
Monte Carlo Studies of Ising Spin Glasses and Random Field Systems
... Spin glasses and random field systems are magnetic materials in which a structural disorder occurs as a consequence of a special preparation process. The latter either changes the chemical composition of compounds and alloys (via dilution or mixing) or it decrystallizes the pure material (via sputte ...
... Spin glasses and random field systems are magnetic materials in which a structural disorder occurs as a consequence of a special preparation process. The latter either changes the chemical composition of compounds and alloys (via dilution or mixing) or it decrystallizes the pure material (via sputte ...
The Einstein–Vlasov System/Kinetic Theory H˚ akan Andr´ easson
... solutions to the Einstein–Vlasov system. This system couples Einstein’s equations to a kinetic matter model. Kinetic theory has been an important field of research during several decades in which the main focus has been on non-relativistic and special relativistic physics, i.e., to model the dynamic ...
... solutions to the Einstein–Vlasov system. This system couples Einstein’s equations to a kinetic matter model. Kinetic theory has been an important field of research during several decades in which the main focus has been on non-relativistic and special relativistic physics, i.e., to model the dynamic ...
Spin Foam Models of Quantum Spacetime
... spin networks, graphs whose edges are labelled with representations of some given group, while their histories, i.e. possible (spacetime) 4-geometries, are spin foams, 2-complexes with faces labelled by representations of the same group. The models are then characterized by an assignment of probabil ...
... spin networks, graphs whose edges are labelled with representations of some given group, while their histories, i.e. possible (spacetime) 4-geometries, are spin foams, 2-complexes with faces labelled by representations of the same group. The models are then characterized by an assignment of probabil ...
