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Spacetime physics with geometric algebra
Spacetime physics with geometric algebra

... Dirac matrices. In view of what we know about STA, this correspondence reveals the physical significance of the Dirac matrices, appearing so mysteriously in relativistic quantum mechanics: The Dirac matrices are no more and no less than matrix representations of an orthonormal frame of spacetime vec ...
Statistics, Causality and Bell`s theorem
Statistics, Causality and Bell`s theorem

... experiments, Bell experiments, are supposed to demonstrate that this incompatibility is a property not just of the the theory of quantum mechanics, but also of Nature itself. The consequence is that we are forced to reject one (or more) of these three principles. Both theorem and experiment hinge a ...
PDF
PDF

C.3 Quantum circuits - UTK-EECS
C.3 Quantum circuits - UTK-EECS

... ¶4. Note that throwing away the garbage bits (dumping them in the environment) will collapse the state (equivalent to measurement) by entangling them in the many degrees of freedom of the environment. ¶5. Since NOT is reversible, each 1 bit in c can be replaced by a 0 bit followed by a NOT, so we ne ...
Schrodinger Evolution for the Universe: Reparametrization
Schrodinger Evolution for the Universe: Reparametrization

... as normal deformations of three dimensional hypersurfaces embedded within four geometries [25]. In that context, it is clear that they will require a spacetime metric in order to be defined. This metric can be specified either in terms of spacetime geometric data or via integration of spatial data a ...
black hole statistical physics: entropy
black hole statistical physics: entropy

Constructor theory of information - Proceedings of the Royal Society A
Constructor theory of information - Proceedings of the Royal Society A

... symbolically by another. But, information is not abstract in the same sense as, say, the set of all prime numbers, for—as we understand it in this paper—it only exists when it is physically instantiated. So, the laws governing information, like those governing computation—but unlike those governing ...
Quantum typicality: what is it and what can be done... Jochen Gemmer LMU Muenchen, May, Friday 13th, 2014 University of Osnabrück,
Quantum typicality: what is it and what can be done... Jochen Gemmer LMU Muenchen, May, Friday 13th, 2014 University of Osnabrück,

Quantum Concepts for Chemistry
Quantum Concepts for Chemistry

String Theory: An Overview - Max Planck Institute for Gravitational
String Theory: An Overview - Max Planck Institute for Gravitational

Dynamics of Quantum Many Body Systems Far From Thermal
Dynamics of Quantum Many Body Systems Far From Thermal

Quintet pairing and non-Abelian vortex string in spin-3/2 cold atomic... Congjun Wu, Jiangping Hu, and Shou-Cheng Zhang
Quintet pairing and non-Abelian vortex string in spin-3/2 cold atomic... Congjun Wu, Jiangping Hu, and Shou-Cheng Zhang

... On the other hand, important progress has been made in the fault-tolerant topological quantum computation [7]. The key idea is that by using non-Abelian statistics in two dimensions, particles can be entangled in a robust way against local disturbances. The promising candidate systems to implement t ...
Bounds on Quantum Probabilities - D
Bounds on Quantum Probabilities - D

... different types of interpretation, although the predictions made by quantum theory perfectly agree with the experimental results. The crucial point is the interpretation of the mathematical formalism that is in most cases far away from common sense. A main point of discussion is certainly the inhere ...
DISTANCE EDUCATION M.Sc. (Physics) DEGREE EXAMINATION
DISTANCE EDUCATION M.Sc. (Physics) DEGREE EXAMINATION

... What is meant by mononuclear system? Give the Quantum theory of ...
F From Vibrating Strings to a Unified Theory of All Interactions
F From Vibrating Strings to a Unified Theory of All Interactions

Introduction to Quantum Statistics
Introduction to Quantum Statistics

Topological map of the Hofstadter butterfly: Fine structure of Chern
Topological map of the Hofstadter butterfly: Fine structure of Chern

Can Spacetime Curvature Induced Corrections to Lamb Shift Be
Can Spacetime Curvature Induced Corrections to Lamb Shift Be

... vacuum electromagnetic fields — a type of constrained Brownian motion. ...
1 Why do we need position operator in quantum theory?
1 Why do we need position operator in quantum theory?

pdf file - Gandalf Lechner
pdf file - Gandalf Lechner

... The observables and the states of a system are the two basic ingredients in any physical theory. In quantum field theory, the observables can conveniently be described as elements of a ∗ -algebra, and encode fundamental features such as causality into their algebraic (commutation) relations. The sta ...
Presentation Slides
Presentation Slides

Fault-tolerant quantum computation
Fault-tolerant quantum computation

... A subsystem code is really the same thing as a standard quantum code, but where we don’t use some of the k qubits encoded in the code block. These unused qubits are called “gauge qubits” --- we don’t care about their quantum state and we don’t have to correct their errors. Choosing not to correct th ...
1 of 25
1 of 25

... Objectives: To introduce the classical formulation approaches like Lagrangian and Hamiltonian dynamics in understanding mechanical systems and solving of problems. Unit 1: LAGRANGIAN FORMULATION - Mechanics of a system of particles - Constraints - D'Alembert' s principle - Lagrange equations - veloc ...
Evolution without evolution, and without ambiguities
Evolution without evolution, and without ambiguities

... As we said, nothing in this construction relies on defining a time operator.Thus, quantum theory provides the means to solve the problem of time via its most profound properties: having pairs of non-commuting observables (in this case, the Hamiltonian of the universe, and the clock observable T ); a ...
Quantum Probabilistic Dyadic Second-Order Logic⋆
Quantum Probabilistic Dyadic Second-Order Logic⋆

... Our decidability proof makes essential use of Tarski’s decidability result, as well as of the finite dimensionality; it translates effectively the probabilistic dyadic second-order logic of finite-dimensional quantum systems into the decidable first-order theory of reals. This proof method is inspir ...
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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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