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Lower Bounds on Matrix Rigidity via a Quantum
Lower Bounds on Matrix Rigidity via a Quantum

... It should be noted that the use of quantum computing is not strictly necessary for either of our results. The first is proved in two steps: (1) using the quantum approach we show that every a × b submatrix of H has rank at least ab/n and (2) using a non-quantum argument we show that an e with small ...
Beyond Effective Potential via Variational Perturbation Theory
Beyond Effective Potential via Variational Perturbation Theory

... in which one is interested into a power series of the coupling constant. However, the convergence of a perturbation expansion is not at all a trivial issue. Indeed, it turns out that most perturbation series are divergent, i.e. their convergence radius vanishes. This divergence of perturbation serie ...
Quantum Chaos and Quantum Computers
Quantum Chaos and Quantum Computers

... studies [25] and opens a broad regime of parameters for which realization of a quantum computer is possible. For example, at D0  1 K and n ˆ 1000 the critical coupling Jc  1 mK is compatible with the experimental proposal ...
Effect of disorder on quantum phase transitions in
Effect of disorder on quantum phase transitions in

... disorder-free model that are needed to understand the rest of the paper. In Sec. IV we take the continuum limit of the fermion model for various cases. The Ising transition and the anisotropy transition with only randomness in the anisotropy that results in a Dirac equation with a random mass. The i ...
like in Arts - Physik und Astronomie an der Universiteat Innsbruck
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Quantum Noise and Quantum Operations
Quantum Noise and Quantum Operations

... • Quantum Noise is modeled as an operator on a state and the environment • Quantum Noise can be seen as a manipulation of the Bloch sphere • Fidelity and Trace distance measure the relative distance between two quantum states • Quantum noise and distance will be important in the understanding of qua ...
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... However: vN entropy is constant if applied to closed systems, where all dof’s and their correlations are known. In practice: never the case! ...
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Hund`s Rules, jj-coupling and the g^n Electron

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On some log-cosine integrals related to (3), (4), and (6)
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Why CMB physics?
Why CMB physics?

... a rapidly growing field. To this difficulty one must add, as usual, that the cultural background of Phd students is often diverse: not all Phd students are supposed to take undergraduate courses in field theory, general relativity or cosmology. Last year, during the whole summer semester, I used to ...
Performance of Many–Body Perturbation Theory
Performance of Many–Body Perturbation Theory

... Since the beginning of the 1990’s a new field has developed on the border between solid state, condensed matter and atomic physics. The possibility to confine a small and controllable number of electrons in tunable electrostatic potentials inside semi–conductor materials has been vastly explored in ...
Intensified antibunching via feedback
Intensified antibunching via feedback

... Motivated by classical Pyragas control [6, 7], recent experiments start to investigate the role of a non-negligible delay time close to the quantum regime [8–10]. In the regime of classical optics, time-delayed self-feedback was found to have a significant impact on the dynamics of a semiconductor l ...
Polarized Light and Quantum Mechanics: An Optical
Polarized Light and Quantum Mechanics: An Optical

... by 50%. What does this have to do with quantum theory? The answer is that photons from the light bulb are unpolarized. From the quantum point of view, unpolarized light, or even partially polarized light, consists of photons that cannot be described as in a definite polarization state. In a real sen ...
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High performance quantum computing
High performance quantum computing

arXiv:quant-ph/0510223v4 1 Jun 2007 Foundations Of Quantum
arXiv:quant-ph/0510223v4 1 Jun 2007 Foundations Of Quantum

... The outcome of this new formalism [1,4-5] may be summarized by the so-called Uncertainty P rinciple (UP ) of Heisenberg (1927), according to which it is impossible to specify precisely and simultaneously the values of both members of canonically conjugate pairs of dynamical variables (like (q, p)) t ...
Seminar: Algorithms for Large Social Networks in Theory and
Seminar: Algorithms for Large Social Networks in Theory and

... Avoid discussing basics, use majority of time to discuss unique properties of your subject Use bullet points, not paragraphs Avoid long theorems–keep it simple Use helpful images! Proofread your slides Unsure about something? Talk to your supervisor It’s ok to be nervous. Keep calm and carry on ...
Sharp Tunneling Peaks in a Parametric Oscillator: Quantum Resonances Missing
Sharp Tunneling Peaks in a Parametric Oscillator: Quantum Resonances Missing

... h2 are exponentially smaller than those of h1 and can be disregarded. Equation (12) is in excellent agreement with numerical calculations, see Fig. 3, except for gn ! 0, since Eq. (8) must be modified for such gn . Numerically, the error is & 10% for jgn j=ð1  2 Þ1=2 * 0:5. Equation (12) should a ...
Cloaking of Matter Waves
Cloaking of Matter Waves

... Cloaking of electromagnetic waves is possible due to time invariant coordinate transformation of the governing Maxwell’s equations. Such invariant transformations map a particular region in free space to a spatial domain with position dependent and anisotropic material parameters (such as permeabili ...
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Scalar field theory

In theoretical physics, scalar field theory can refer to a classical or quantum theory of scalar fields. A scalar field is invariant under any Lorentz transformation.The only fundamental scalar quantum field that has been observed in nature is the Higgs field. However, scalar quantum fields feature in the effective field theory descriptions of many physical phenomena. An example is the pion, which is actually a pseudoscalar.Since they do not involve polarization complications, scalar fields are often the easiest to appreciate second quantization through. For this reason, scalar field theories are often used for purposes of introduction of novel concepts and techniques.The signature of the metric employed below is (+, −, −, −).
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