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Two-dimensional quantum gravity may be formulated as a
Two-dimensional quantum gravity may be formulated as a

... obtained from continuum formulations of 2d gravity, based on conformal field theory techniques' Most of those results were however restricted to fixed 2d topology. Very recently it was shown that a continuum limit for the sum over all topologies of 2d manifolds may also be defined explicitly.-·6 For ...
Limitations on the superposition principle: superselection
Limitations on the superposition principle: superselection

... Superselection rules are very important properties of quantum systems. The most general superselection rules that, it is believed, must hold in any quantum theory are associated first with the existence of fermions and bosons, i.e. univalence, and then to every absolutely conserved quantum number: t ...
Direct Characterization of Quantum Dynamics
Direct Characterization of Quantum Dynamics

Renormalization group running of Newton`s constant G: The static
Renormalization group running of Newton`s constant G: The static

... theories like QED and QCD the renormalized parameters (, S , . . .) are fixed by experiments, and no really compelling reason exists yet as to why they should take on the actual values observed in laboratory experiments. More specifically in the case of gravity, Feynman has given elaborate argumen ...
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Quantum theory without measurement or state reduction problems
Quantum theory without measurement or state reduction problems

institute of theoretical physics - Faculty of Physics University of Warsaw
institute of theoretical physics - Faculty of Physics University of Warsaw

Limitations on quantum dimensionality reduction
Limitations on quantum dimensionality reduction

... constant. So Alice and Bob each simply apply this map to their vectors, renormalize the output (which makes very little di®erence to the inner products), and send the Oðlog nÞ qubit states corresponding to the resulting OðnÞ-dimensional vectors to the referee, who applies the swap test to the states ...
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Towards A Quantum Mechanical Model of Foreign Policy

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Staging quantum cryptography with chocolate balls

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6 Field-Theoretical Methods in Quantum Magnetism

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The Universal Covering Group of U (n) and Projective Representations

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Qubits and quantum computers

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On the Faithful Interpretation of Pure Wave Mechanics

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Evolving Notions of Security for Quantum Protocols

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EJP_NewCurr_Kohnle - St Andrews Research Repository

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2013-2014 Part III Guide to Courses

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Recently an undergraduate engineering student asked me if
Recently an undergraduate engineering student asked me if

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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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