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Lecture 1 - Particle Physics Research Centre
Lecture 1 - Particle Physics Research Centre

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Physics 235 Chapter 09 Chapter 9

... We see that the linear momentum is constant if the net external force acting on the system is 0 N. If there is an external force acting on the system, the component of the linear momentum in the direction of the net external force is not conserved, but the components in the directions perpendicular ...
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... If the rigid object is moving (sliding) with velocity v without any spin (ie pure translational motion), it has only translational kinetic energy K = ½ mv2 ...
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... In the paper, we give the basics of affine systems in detail and start to investigate affine computation by defining the affine finite automaton (AfA) (due to the simplicity of automata models). Then, we compare it with probabilistic finite automata (PFAs) and quantum finite automata (QFAs) with res ...
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... Compare this with the corresponding expansion (1.6) for the product of vectors. Blades and Subspaces The elements of Gn can be assigned a variety of different geometric interpretations appropriate for different applications. For one, geometric algebra characterizes geometric objects composed of poin ...
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here.
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... a fixed direction with fixed magnitude over time. For example, we can be in a classical state where Lz = 105 ~, Ly = 0, L x = 0. We can visualize this in terms of a rigid body that is rotating with constant angular speed about an axis pointing along ẑ. Quantum mechanically, the stationary states ma ...
GeoSym-QFT
GeoSym-QFT

... innovative concepts and tools. The title of our project: Geometry and Symmetry in Quantum Field Theory, tries to resume in few words a variety of modern approaches to field theory which characterizes our project. The role of geometry, algebra and group theory has been central in the development of q ...
Quantum Computation with Topological Phases of Matter
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... realization of fault-tolerant quantum computing because they contain surface states that are topologically protected against scattering by time-reversal symmetry. S.-S. Lee: ”Many-body generalization of the Z2 invariant in the time reversal symmetric topological insulator” — We propose a many-body g ...
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... which means that the force is the rate of change of the momentum with time. If the mass is constant then this reduces to Fnet = ma, because the change in velocity with time is the acceleration. But sometimes the mass changes, for example a vehicle which burns fuel changes mass as it uses the fuel. I ...
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Approach to equilibrium of a nondegenerate quantum system: decay

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QUANTUM THREE-PASS PROTOCOL: KEY DISTRIBUTION USING

... is encoded into a single particle, called a “quantum bit” or “qubit” whose state is represented by using a vector (e.g., 0 or 1 ,) called “ket” vector in Dirac notation. In this paper, we assume that a photon is used as a qubit. (Henceforth, we use photon and qubit interchangeably.) We use a photon ...
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... potential forces P to vanish. Then the first term (which much vanish independently of the second since they are both positive) forces the massless modes onto the locus G5 = 0 which is the quintic. Relate the moduli of the quintic to the marginal parameters of the gauge theory. Note that the word ‘mo ...
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... Note that B may well have measured the qubit V to see whether or not the transmission was accepted or rejected. Nonetheless, we think of V as a qubit rather than a classical bit since it will allow us to describe the joint state of the two systems M and V with a density matrix. There are two condit ...
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... is then the measured state |ki. The probability of output |ki given the first two steps is |hk|U |ii|2 . Now one thing to be clear about from the onset is that this is not the most general quantum circuit we can construct, but it turns out that every quantum circuit in more general settings can be t ...
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... Most of the examples and applications we have considered concerned the rotation of rigid bodies about a fixed axis. However, there are many examples of rigid bodies that rotate about an axis that is changing its direction. A turning bicycle wheel, a gyroscope, the earth’s precession about its axis, ...
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Symmetry in quantum mechanics

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