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the hydrogen atom in a uniform magnetic field - an example
the hydrogen atom in a uniform magnetic field - an example

The Quantum IO Monad - School of Computer Science
The Quantum IO Monad - School of Computer Science

Quantum Programming Languages: Survey and Bibliography
Quantum Programming Languages: Survey and Bibliography

... as the first model for general quantum computation, with the crucial property that superpositions of machine states are allowed, and defines a universal QTM. Earlier work by Benioff (1980) defines physical systems in which the laws of quantum mechanics would lead to the simulation of a classical Tur ...
Hidden Variables and Nonlocality in Quantum Mechanics
Hidden Variables and Nonlocality in Quantum Mechanics

7 Quantum Computing Applications of Genetic Programming
7 Quantum Computing Applications of Genetic Programming

Toward a software architecture for quantum computing design tools
Toward a software architecture for quantum computing design tools

Lecture notes: Group theory and its applications in physics
Lecture notes: Group theory and its applications in physics

LYAPUNOV EXPONENTS IN HILBERT GEOMETRY
LYAPUNOV EXPONENTS IN HILBERT GEOMETRY

... decomposition of the stable and unstable manifolds of a forward regular point into Lyapunov manifolds, tangent to the Lyapunov filtration. This is a striking fact that these manifolds appear in a so easy way, only reflecting by projection the shape of the boundary; it can be seen as a consequence of ...
The Integer Quantum Hall Effect
The Integer Quantum Hall Effect

M12/16
M12/16

... of the C*-algebra associated with the Lip-norm. The main tool is the construction of a bridge topology which is inspired by the weakly uniform topology of [22], though it is typically weaker and, more importantly, it depends on the topographic structure. This bridge topology leads us to our main cha ...
Quantum boolean functions - Chicago Journal of Theoretical
Quantum boolean functions - Chicago Journal of Theoretical

... This paper draws heavily on the classical field of the analysis of boolean functions, which for our purposes essentially began with the seminal paper of Kahn, Kalai and Linial [KKL88], which proved that every balanced boolean function must have an influential variable (see Section 10). Since then, a ...
An introduction to Quantum Complexity
An introduction to Quantum Complexity

- Philsci
- Philsci

... may be expressed as a linear combination of eigenstates of the observable O of the system that we are interested in (i.e. n =  ci i); and a measuring device in Wa = n wn P[m]. Throughout the paper I refer to the observable represented by the operator I  A, as well as that represented by A, as ...
The Quantum Vacuum and the Cosmological Constant Problem
The Quantum Vacuum and the Cosmological Constant Problem

... ρ ∼ 1/a2 (derived from Einstein’s equations for a static dust filled universe). When the constants are properly taken care of, the result is that the radius of the universe is about 31 km – indeed much less than the distance to the moon! Nevertheless, as Enz and Thellung also point out, in Pauli’s e ...
A geometric proof of the Berger Holonomy Theorem
A geometric proof of the Berger Holonomy Theorem

... orbits. Moreover, this proof gives a link between the holonomy groups of the normal connection of Euclidean submanifolds and the Riemannian holonomy groups. We hope that this article will serve as a motivation to study Euclidean submanifolds from a holonomic point of view. The strategy of the proof ...
Quantum Computing
Quantum Computing

...  They presented an algorithm that determines whether a function f is constant over all inputs or balanced.  The Deutsch-Jozsa algorithm was the first quantum algorithm to run faster than its classical counterparts. Richard Jozsa ...
Polynomial-Time Algorithms for Prime Factorization and Discrete
Polynomial-Time Algorithms for Prime Factorization and Discrete

Quantum Computing
Quantum Computing

Wigner`s Dynamical Transition State Theory in
Wigner`s Dynamical Transition State Theory in

... the potential energy surface that imply important dynamical phenomena. We will survey these later in this introduction. We emphasize that similar constructions using the potential energy surface for systems having more than 2 DoF simply do not work in the same way as they do for 2 DoF. Now to realiz ...
Notes on Semiclassical Gravity
Notes on Semiclassical Gravity

... An entirely different way of studying the classical limit, which does not involve complete specification of the quantum state, is to be found in the work of Peres, Zurek, and Joos and Zeh [ 141, among others. It begins with the question: why are macroscopic objects found, almost always, in a classic ...
Entanglement and Tensor Network States - cond
Entanglement and Tensor Network States - cond

... matter context or in situations that mimic condensed matter systems, as provided, say, by systems of cold atoms in optical lattices. What we mean by a quantum lattice system is that we think that we have an underlying lattice structure given: some lattice that can be captured by a graph. The vertice ...
The UNBELIEVABLE similarities between Sean Carroll`s idea (2016
The UNBELIEVABLE similarities between Sean Carroll`s idea (2016

... “reality” does not exist, so his framework is still the old one, which we have showed in my works that it is completely wrong. Even the title of the first chapter (“The fundamental nature of reality”) is quite wrong: there is no “fundamental” “level” of reality since the “universe” does not exist. I ...
QUANTUM STRUCTURES FOR LAGRANGIAN SUBMANIFOLDS
QUANTUM STRUCTURES FOR LAGRANGIAN SUBMANIFOLDS

... It should be mentioned at the outset that there are two systematic models for dealing with the general, non-monotone context: the A∞ approach of Fukaya-Oh-Ohta-Ono [34] and the cluster homology approach of Cornea-Lalonde [23] (the last one being closer to the point of view we take here). The monoton ...
The Path Integral approach to Quantum Mechanics Lecture Notes
The Path Integral approach to Quantum Mechanics Lecture Notes

Physics in Higher-Dimensional Manifolds
Physics in Higher-Dimensional Manifolds

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Topological quantum field theory

A topological quantum field theory (or topological field theory or TQFT) is a quantum field theory which computes topological invariants.Although TQFTs were invented by physicists, they are also of mathematical interest, being related to, among other things, knot theory and the theory of four-manifolds in algebraic topology, and to the theory of moduli spaces in algebraic geometry. Donaldson, Jones, Witten, and Kontsevich have all won Fields Medals for work related to topological field theory.In condensed matter physics, topological quantum field theories are the low energy effective theories of topologically ordered states, such as fractional quantum Hall states, string-net condensed states, and other strongly correlated quantum liquid states.
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