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IntroGametheory
IntroGametheory

... • Parrondo games can also arise ...
Quantum Theory and Molecular Energy
Quantum Theory and Molecular Energy

AOW- Time Travel
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... BQP/qpoly  PostBQP/poly [A. 2004] Any n-qubit state  can be “PAC-learned” using O(n) sample measurements—exponentially better than tomography [A. 2006] One can give a local Hamiltonian H on poly(n) qubits, such that any ground state of H can be used to simulate  on all yes/no measurements with sm ...
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... Statistical mechanics is branch of physics that deals with understand collective response from the single particle behavior. This course explains how the statistical approach is effective in predicting the thermodynamics of system from the constituent particles. Methods of statistical mechanics are ...
HTPIB27O The Einstein-Bohr Debate
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Abstract
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Einstein-Podolsky-Rosen paradox and Bell`s inequalities
Einstein-Podolsky-Rosen paradox and Bell`s inequalities

... should be no further interaction. Depending on a measurement of position or momentum on system one, due to the reduction of the wave packet both momentum and position of system two could become an element of reality by their definition. But since the operators for momentum and position do not commut ...
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... condition that the free space input field is a weak coherent state. The only terms in Hef f which create excitations are the driving fields, which are perturbative implying that the amplitude of the one-excitation states are proportional to E and the two-excitation amplitudes are proportional to E 2 ...
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... Quantum systems confined to low dimensions, such as spin chains, carbon nanotubes or cold atoms in optical lattices, often behave in a universal way that is efficiently described in terms of simple effective theories. These introductory lectures will review the bosonization approach for one-dimensio ...
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energy levels of a hydrogen atom in crossed electric and

Hidden Variables as Fruitful Dead Ends
Hidden Variables as Fruitful Dead Ends

... that the only way to explain M’s behavior on the 4 states is using a “trivial” theory that doesn’t mix 0 and +. (Can be generalized to any pair of states, not just |0 and |+) Bell’s Theorem: Can’t “locally” simulate all separable measurements on a fixed entangled state PBR Theorem: Can’t “locall ...
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The Ghost in the Atom, Ed. by P.C.W. Davies and J.R. Brown
The Ghost in the Atom, Ed. by P.C.W. Davies and J.R. Brown

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... The concept of pure ensemble in a nutshell: In a pure ensemble every state is the same, thus statistical mechanics of such an ensemble reduces to ordinary quantum mechanics. a) Show that the relation ρ2 = ρ holds for the density operator of a pure ensemble and thus Tr (ρ2 ) = 1. b) Show that the cor ...
Chern-Simons Theory of Fractional Quantum Hall Effect
Chern-Simons Theory of Fractional Quantum Hall Effect

... 1) the ground state is just a homogeneous bosonic field. The topologically trivial fluctuations around the uniform state are gaped as can be easily seen from the classical equations of motions for a charged liquid. The lowest lying excitations are topological vortices in the uniform state. These vo ...
Quantum Correlations with Metastable Helium Atoms
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... with a common frequency . Applying the equipartition theorem, we find a heat capacity of 3Nk for solids. This is fairly accurate for most solids at room temperature and is known as the law of Dulong and Petit. However, at low temperatures the heat capacity diminishes and a better model is needed. E ...
Dave Bacon on Quantum Error Correction. Slides in PPT.
Dave Bacon on Quantum Error Correction. Slides in PPT.

... At the lowest level we must perform quantum error correction and use fault-tolerant techniques. Today’s talks on quantum error correction will drastically influence what a quantum computer looks like… ...
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Canonical quantization

In physics, canonical quantization is a procedure for quantizing a classical theory, while attempting to preserve the formal structure, such as symmetries, of the classical theory, to the greatest extent possible.Historically, this was not quite Werner Heisenberg's route to obtaining quantum mechanics, but Paul Dirac introduced it in his 1926 doctoral thesis, the ""method of classical analogy"" for quantization, and detailed it in his classic text. The word canonical arises from the Hamiltonian approach to classical mechanics, in which a system's dynamics is generated via canonical Poisson brackets, a structure which is only partially preserved in canonical quantization.This method was further used in the context of quantum field theory by Paul Dirac, in his construction of quantum electrodynamics. In the field theory context, it is also called second quantization, in contrast to the semi-classical first quantization for single particles.
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