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Stephen Hawking
Stephen Hawking

Quantum computers
Quantum computers

Forays into Relativistic Quantum Information Science:
Forays into Relativistic Quantum Information Science:

... representation spaces of Lorentz group Lorentz group: non-compact, no finite-dimensional unitary rep. => Questions regarding the validity of “fundamental 2-state qubit” of non-rel QIS (?) and “fundamental entangled(Bell) spin-up spin-down states” Of non-rel QIS with 1-ebit (?) ...
Open-string operator products
Open-string operator products

Cumulants and partition lattices.
Cumulants and partition lattices.

Quantization as a Kan extension
Quantization as a Kan extension

無投影片標題 - 2009 Asian Science Camp/Japan
無投影片標題 - 2009 Asian Science Camp/Japan

... For those who participated, it was a time of creation; there was terror as well as exaltation in their new insight . It will probably not ...
Chemistry
Chemistry

... The course will deal with the group theory application in order to describe structure and bond properties of organometallic compounds. The bond models of “ligand field” and of “angular overlap” will be employed in order to classify the coordination bon according to the metallic element (main group e ...
THE CONCEPTUAL BASIS OF QUANTUM FIELD THEORY
THE CONCEPTUAL BASIS OF QUANTUM FIELD THEORY

... particles appear to obey the rules of one example of a quantum field theory that goes under the uninspiring name of “The Standard Model”. The creators of this model had hardly anticipated such a success, and one can rightfully ask to what it can be attributed. We have long been aware of the fact tha ...
gauge theory - CERN Indico
gauge theory - CERN Indico

... Larger gauge theories • First example of a gauge theory beyond QED was the Yang-Mills theory (1954), a gauge theory of isospin SU(2) symmetry. — same theory also proposed by Salam’s student Ronald Shaw, but unpublished except as a Cambridge University PhD thesis — ultimately not correct theory of s ...
Slides
Slides

Easy Spin-Symmetry-Adaptation. Exploiting the Clifford
Easy Spin-Symmetry-Adaptation. Exploiting the Clifford

... To account for instantaneous electron correlation properly we need to form linear combinations of excited dets from a suitable reference ...
Counting Statistics of Many-Particle Quantum Walks [1] Introduction ======
Counting Statistics of Many-Particle Quantum Walks [1] Introduction ======

You obtained your required density profile data
You obtained your required density profile data

... quantum mechanics. For your purpose we should have the grand potential as a function of local pressure, Ω(p( r )). To our konwledge there isn’t such functionality. Therefore in such a way we can not get the local pressure from DFT. 3) Also you know that the definition of the pressure for an inhomoge ...
pdf - Martijn Wubs
pdf - Martijn Wubs

Resilient Quantum Computation in Correlated Environments: A Quantum Phase Transition Perspective
Resilient Quantum Computation in Correlated Environments: A Quantum Phase Transition Perspective

... due to correlations between qubits at different QEC steps. Hence, their error model corresponds in our analysis to a dynamical exponent z  0. With this, our criterion for the possibility of resiliency is exactly the same as AKP’s, even though the problem and methods used are inherently different. W ...
A View of Mathematics
A View of Mathematics

... What is a field? It is a set of “numbers" that one can add, multiply and in which any non-zero element has an inverse so that all familiar rules are valid (except possibly the commutativity xy = y x of the product). One basic example is given by the field _ of rational numbers but there are many oth ...
On Many-Minds Interpretations of Quantum Theory
On Many-Minds Interpretations of Quantum Theory

The Power of Perturbation Theory
The Power of Perturbation Theory

... No need of resurgence, thimble decomposition, trans-series. Even observables in systems known to have instanton corrections will be reconstructed by a single perturbative series Large arbitrariness in the choice of EPT. In principle all choices equally good, although in numerical studies some choice ...
7-0838-fassihi
7-0838-fassihi

... domain. Generally topology of the domain represents the type of the particle and the metric the energy density. Therefore we get a relation between energy and the radius of confinement. Experimentally there are strong evidences confirming this relation. In high temperature for example in plasma phys ...
Anderson transition ???????? Critical Statistics
Anderson transition ???????? Critical Statistics

Chaotic field theory: a sketch
Chaotic field theory: a sketch

... not much enthusiasm for grinding out numerical solutions as long as one lacks ideas as what to do with them. By late 1970s it was generally understood that even the simplest nonlinear systems exhibit chaos. Chaos is the norm also for generic Hamiltonian ows, and for path integrals that implies that ...
read more
read more

Quantum Circuit Theory for Mesoscoptic Devices
Quantum Circuit Theory for Mesoscoptic Devices

Slides of the first lecture
Slides of the first lecture

... Suppose that we had a construction that produces a number χ(X ) ∈ Z for any surface X with the property that whenever X can be continuously deformed into Y , we have χ(X ) = χ(Y ) . Such a number is an example of a topological invariant. ...
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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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