Polynomial Heisenberg algebras and Painleve
... potencial del oscilador invertido [Bermudez and Fernández, 2013b]. Posteriormente, presentaremos las definiciones del álgebra de Heisenberg-Weyl y de las álgebras de Heisenberg polinomiales (PHA). Estudiaremos los sistemas generales descritos por PHA: para órdenes cero y uno obtenemos a los osci ...
... potencial del oscilador invertido [Bermudez and Fernández, 2013b]. Posteriormente, presentaremos las definiciones del álgebra de Heisenberg-Weyl y de las álgebras de Heisenberg polinomiales (PHA). Estudiaremos los sistemas generales descritos por PHA: para órdenes cero y uno obtenemos a los osci ...
history of quantum computing
... Key ingredients of quantum mechanics Quantum mechanics has certain bizarre features which do not occur in standard, or “classical” physics, such as: 1. Superposition. If a system can be in state A or state B, it can also be in a “mixture” of the two states. If we measure it, we see either A or B, p ...
... Key ingredients of quantum mechanics Quantum mechanics has certain bizarre features which do not occur in standard, or “classical” physics, such as: 1. Superposition. If a system can be in state A or state B, it can also be in a “mixture” of the two states. If we measure it, we see either A or B, p ...
Pythagoras, music, sacred geometry, and genetic code
... that Hamiltonian cycles (possibly identifiable as 20-note scale) at dodecahedron is unique module rotations and reflection leaving dodecahedron invariant. Also in the case of tetrahedron and cube the Hamiltonian cycle is unique. 3. For octahedron and icosahedron this is not the case [A3] and there a ...
... that Hamiltonian cycles (possibly identifiable as 20-note scale) at dodecahedron is unique module rotations and reflection leaving dodecahedron invariant. Also in the case of tetrahedron and cube the Hamiltonian cycle is unique. 3. For octahedron and icosahedron this is not the case [A3] and there a ...
Quantum Computation with Nuclear Spins in Quantum Dots
... (for a discussion of spin-orbit coupling see below). This potentially combines the advanced fabrication techniques of established modern day semiconductor industry for large scale production with the favorable coherence times of quantum spins. A fundamental ingredient of this proposal is that the tu ...
... (for a discussion of spin-orbit coupling see below). This potentially combines the advanced fabrication techniques of established modern day semiconductor industry for large scale production with the favorable coherence times of quantum spins. A fundamental ingredient of this proposal is that the tu ...
transformation ratio at interaction of long sequence of electron
... Advantage of electron acceleration by wakefield is large accelerating field [1], providing possibility of essential decrease of dimensions of colliders and accelerators [2]. The transformation ratio is important at electron acceleration by wakefield. It is determined TW by ratio of energy, gained by ...
... Advantage of electron acceleration by wakefield is large accelerating field [1], providing possibility of essential decrease of dimensions of colliders and accelerators [2]. The transformation ratio is important at electron acceleration by wakefield. It is determined TW by ratio of energy, gained by ...
Atoms, photons, and Information
... Lasers are an essential tool for the manipulation of atomic systems in modern physics labs. These lasers, however, do not only act as classical controls, but are full quantum objects in themselves. The interaction between a laser, or any state of the light field for that matter, and an atom will tra ...
... Lasers are an essential tool for the manipulation of atomic systems in modern physics labs. These lasers, however, do not only act as classical controls, but are full quantum objects in themselves. The interaction between a laser, or any state of the light field for that matter, and an atom will tra ...
Information and Entropy in Neural Networks and Interacting Systems
... network and why a generalization of the definition of entropy may be required. Like neural networks, large ensembles of similar units that interact also need a generalization of classical information-theoretic concepts. We extend the concept of Shannon entropy in a novel way, which may be relevant w ...
... network and why a generalization of the definition of entropy may be required. Like neural networks, large ensembles of similar units that interact also need a generalization of classical information-theoretic concepts. We extend the concept of Shannon entropy in a novel way, which may be relevant w ...
Decoherence, non-Markovianity and quantum estimation in qubit
... when the environment surrounding the quantum system is composed by a large number fluctuators. Moreover, the Gaussian approximation is valid even in the presence of non-Gaussian noise, as far as the coupling with the environment is weak. However there are situations where the Gaussian assumption is ...
... when the environment surrounding the quantum system is composed by a large number fluctuators. Moreover, the Gaussian approximation is valid even in the presence of non-Gaussian noise, as far as the coupling with the environment is weak. However there are situations where the Gaussian assumption is ...
Quantum Annealing with Markov Chain Monte Carlo Simulations
... ψ|Qa |ψ, a = 1, 2, . . . , r. Statistically, we may perform measurements on M for the quantum system multiple times to obtain measurement data and infer the quantum state from the data. For a quantum system at a given time point, its state vector comprises all information about the system in the s ...
... ψ|Qa |ψ, a = 1, 2, . . . , r. Statistically, we may perform measurements on M for the quantum system multiple times to obtain measurement data and infer the quantum state from the data. For a quantum system at a given time point, its state vector comprises all information about the system in the s ...
53. B. Sc. Physical Science
... Note: Universities may include more options or delete some from this list Important: 1. Each University/Institute should provide a brief write-up about each paper outlining the salient features, utility, learning objectives and prerequisites. 2. University/Institute can add/delete some experiments o ...
... Note: Universities may include more options or delete some from this list Important: 1. Each University/Institute should provide a brief write-up about each paper outlining the salient features, utility, learning objectives and prerequisites. 2. University/Institute can add/delete some experiments o ...
Toward a scalable, silicon-based quantum computing architecture
... quantum computation is important. By investigating the potential costs and fundamental challenges of quantum devices, we can help illuminate pitfalls along the way toward a scalable quantum processor. We may also anticipate and specify important subsystems common to all implementations, thus fosteri ...
... quantum computation is important. By investigating the potential costs and fundamental challenges of quantum devices, we can help illuminate pitfalls along the way toward a scalable quantum processor. We may also anticipate and specify important subsystems common to all implementations, thus fosteri ...
Topological Photonics Lu, John D. Joannopoulos, and Marin Soljaˇci´c
... Frequency, wavevector, polarization and phase are degrees of freedom that are often used to describe a photonic system. In the last few years, topology –a property of photonic materials that relates to the global structure of their frequency dispersions– has been emerging as another indispensable in ...
... Frequency, wavevector, polarization and phase are degrees of freedom that are often used to describe a photonic system. In the last few years, topology –a property of photonic materials that relates to the global structure of their frequency dispersions– has been emerging as another indispensable in ...
10-Momentum - Collège Mérici
... human being can survive a crash if he experiences less than about 100 g’s. If the passenger is not wearing a seatbelt, the result changes a lot, not because the change of momentum increases but because t will be much smaller. Without a seatbelt, the car starts to slow down whereas the person contin ...
... human being can survive a crash if he experiences less than about 100 g’s. If the passenger is not wearing a seatbelt, the result changes a lot, not because the change of momentum increases but because t will be much smaller. Without a seatbelt, the car starts to slow down whereas the person contin ...
Electron Spin and Its History - Physics Department, Princeton
... In early 1926, Erwin Schrödinger invented wave mechanics, and he later showed that it and Heisenberg’s matrix mechanics are equivalent. Meanwhile, in February 1926, Llewellyn H. Thomas, a 23-year-old Londoner born to Welsh parents, was on a traveling fellowship at Bohr’s institute in Copenhagen. Th ...
... In early 1926, Erwin Schrödinger invented wave mechanics, and he later showed that it and Heisenberg’s matrix mechanics are equivalent. Meanwhile, in February 1926, Llewellyn H. Thomas, a 23-year-old Londoner born to Welsh parents, was on a traveling fellowship at Bohr’s institute in Copenhagen. Th ...
Algebra in Braided Tensor Categories and Conformal Field Theory
... equivalent to the category G-mod of finite dimensional continuous unitary representations of a compact group G. The group G gives the global symmetries of the QFT. In fact, from the knowledge of the superselection sectors one can recover the symmetry group [DR2]. In two [FhRS] and three [FG1] dimens ...
... equivalent to the category G-mod of finite dimensional continuous unitary representations of a compact group G. The group G gives the global symmetries of the QFT. In fact, from the knowledge of the superselection sectors one can recover the symmetry group [DR2]. In two [FhRS] and three [FG1] dimens ...
Contributions to the Quantum Optics of Multi
... a “temporary member” of their research groups, and for treating me like a fellow researcher, giving me all the tools needed to become productive under their watch. As a PhD student it is easier to hear the not–so–nice stories about ...
... a “temporary member” of their research groups, and for treating me like a fellow researcher, giving me all the tools needed to become productive under their watch. As a PhD student it is easier to hear the not–so–nice stories about ...
Embedding Quantum Simulators Roberto Di Candia
... In this Thesis, we develop several algorithms, which are able to catch relevant properties of the simulated quantum model. The proposed protocols follow a new concept named embedding quantum simulator, in which the simulated Schrödinger equation is mapped onto an enlarged Hilbert space in a nontriv ...
... In this Thesis, we develop several algorithms, which are able to catch relevant properties of the simulated quantum model. The proposed protocols follow a new concept named embedding quantum simulator, in which the simulated Schrödinger equation is mapped onto an enlarged Hilbert space in a nontriv ...
manipulating single atoms - Quantum technologies
... Perhaps even more importantly they have initiated new lines of research where the control of atomic systems—and in particular atom–atom interactions—have opened the route to study novel many particle systems. The celebrated realization of Bose–Einstein condensation with neutral atoms in 1995 [12,13] ...
... Perhaps even more importantly they have initiated new lines of research where the control of atomic systems—and in particular atom–atom interactions—have opened the route to study novel many particle systems. The celebrated realization of Bose–Einstein condensation with neutral atoms in 1995 [12,13] ...
Renormalization group
In theoretical physics, the renormalization group (RG) refers to a mathematical apparatus that allows systematic investigation of the changes of a physical system as viewed at different distance scales. In particle physics, it reflects the changes in the underlying force laws (codified in a quantum field theory) as the energy scale at which physical processes occur varies, energy/momentum and resolution distance scales being effectively conjugate under the uncertainty principle (cf. Compton wavelength).A change in scale is called a ""scale transformation"". The renormalization group is intimately related to ""scale invariance"" and ""conformal invariance"", symmetries in which a system appears the same at all scales (so-called self-similarity). (However, note that scale transformations are included in conformal transformations, in general: the latter including additional symmetry generators associated with special conformal transformations.)As the scale varies, it is as if one is changing the magnifying power of a notional microscope viewing the system. In so-called renormalizable theories, the system at one scale will generally be seen to consist of self-similar copies of itself when viewed at a smaller scale, with different parameters describing the components of the system. The components, or fundamental variables, may relate to atoms, elementary particles, atomic spins, etc. The parameters of the theory typically describe the interactions of the components. These may be variable ""couplings"" which measure the strength of various forces, or mass parameters themselves. The components themselves may appear to be composed of more of the self-same components as one goes to shorter distances.For example, in quantum electrodynamics (QED), an electron appears to be composed of electrons, positrons (anti-electrons) and photons, as one views it at higher resolution, at very short distances. The electron at such short distances has a slightly different electric charge than does the ""dressed electron"" seen at large distances, and this change, or ""running,"" in the value of the electric charge is determined by the renormalization group equation.