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A Functional Architecture for Scalable Quantum Computing
A Functional Architecture for Scalable Quantum Computing

... √ called SWAP class, allows gates from the set {iSWAP, iSWAP, iSWAP1/4, . . .}, and can be applied between any fluxonium and transmon pair. A second two-qubit gate class (called CPhase class) is available between a fluxonium and an upper transmon. This is a parametrized class of the four controlled ...
Neural Network Algorithms-Quantum-Glia
Neural Network Algorithms-Quantum-Glia

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On the Derivation of the Time-Dependent Equation of Schrodinger

... were introduced at the beginning of Schrodingers fourth 1926 communication (7) as the fundamental equations of the new mechanics. We note in passing that Eq. (11) does not contain  ! It is perhaps not uninteresting in the context of the present paper to remark that Schrodinger's motivation in der ...
PPT
PPT

Comparison of 3D classical and quantum mechanical He scattering
Comparison of 3D classical and quantum mechanical He scattering

... quantum mechanics? Since the interaction is generally strong, EhrenfestÕs theorem invalidates the picture of the trajectories. If we adhere the purely stochastic (``Heidelberg approach'') discussion of quantum chaos; the dwell time of atoms near the surface has to be determined as a function of appr ...
Lecture 24: Tensor Product States
Lecture 24: Tensor Product States

... Definition of Tensor product • Suppose you have a system with 10 possible states • Now you want to enlarge your system by adding ten more states to its Hilbert space. – The dimensionality of the Hilbert space increases from 10 to 20 – The system can now be found in one of 20 possible states – This ...
Quantum numbers for relative ground states of antiferromagnetic
Quantum numbers for relative ground states of antiferromagnetic

... Here dN/2e denotes the smallest integer greater than or equal to N/2. “Minimal degeneracy” means that the relative ground state in H(M ) is twofold degenerate if there are two different shift quantum numbers and nondegenerate if k = 0 mod N or k = N/2 mod N , the latter for even N . It is noteworthy ...
Geometric Quantization - Texas Christian University
Geometric Quantization - Texas Christian University

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QUANTUM ERROR CORRECTING CODES FROM THE

... of states and operators on which the error operators are jointly well-behaved in a precise sense. The stabilizer formalism for QEC [5, 6] gives a constructive framework to find correctable codes for error models of "Pauli type". While there are other successful techniques that can be applied in spec ...
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... The Rutherford-Bohr model of the atom described the electron orbiting around the nucleus in circular orbits. This is a planetary model like the planets orbiting the Sun. However, in terms of Quantum Mechanics the electron has to be regarded as a wave so that experimental observations agree with theo ...
cluster algebras in algebraic lie theory
cluster algebras in algebraic lie theory

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Spirituality of the Evolving cosmos

HW1 solutions - Colorado State University Computer Science
HW1 solutions - Colorado State University Computer Science

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Computational Power of the Quantum Turing Automata

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Quantum Cohomology via Vicious and Osculating Walkers

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Quantum Stat Mech Primer

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The death of Schrödinger`s cat and of consciousness

PPT - LSU Physics & Astronomy
PPT - LSU Physics & Astronomy

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The Quantum Circuit Model and Universal Quantum Computation

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Limitations on quantum dimensionality reduction

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Silicon quantum dots for quantum information processing

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Anderson transition ???????? Critical Statistics

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Coleman progress - Rutgers Physics

... diversity, different phase transitions often share many fundamental characteristics. The specific heat when water turns to steam at a critical pressure has exactly the same power-law dependence on temperature as that of iron when it is demagnetized by having its temperature raised. Understanding thi ...
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Quantum group

In mathematics and theoretical physics, the term quantum group denotes various kinds of noncommutative algebra with additional structure. In general, a quantum group is some kind of Hopf algebra. There is no single, all-encompassing definition, but instead a family of broadly similar objects.The term ""quantum group"" first appeared in the theory of quantum integrable systems, which was then formalized by Vladimir Drinfeld and Michio Jimbo as a particular class of Hopf algebra. The same term is also used for other Hopf algebras that deform or are close to classical Lie groups or Lie algebras, such as a `bicrossproduct' class of quantum groups introduced by Shahn Majid a little after the work of Drinfeld and Jimbo.In Drinfeld's approach, quantum groups arise as Hopf algebras depending on an auxiliary parameter q or h, which become universal enveloping algebras of a certain Lie algebra, frequently semisimple or affine, when q = 1 or h = 0. Closely related are certain dual objects, also Hopf algebras and also called quantum groups, deforming the algebra of functions on the corresponding semisimple algebraic group or a compact Lie group.Just as groups often appear as symmetries, quantum groups act on many other mathematical objects and it has become fashionable to introduce the adjective quantum in such cases; for example there are quantum planes and quantum Grassmannians.
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