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Quantum Game Theory
Quantum Game Theory

... The minority game (using multi-qubit GHZ state, if I have time!) The battle of the sexes Rock-Sissors-Paper etc! ...
Quantum Gravity: the view from particle physics
Quantum Gravity: the view from particle physics

... be that we should not ignore the hints from particle physics in our search for quantum gravity! I do not think I need to tell you why a theory of quantum gravity is needed, as some of the key arguments were already reviewed in other talks at this conference. There is now ample evidence that both Gen ...
Quantum Game Theory
Quantum Game Theory

... The minority game (using multi-qubit GHZ state, if I have time…) The battle of the sexes Rock-Sissors-Paper etc… ...
Chapter 1 Introduction
Chapter 1 Introduction

... Since the particle is heavy, a motion along the x axis can be described in a classical fashion. This is true, but for quite subtle reasons, and again we will come to that later. So as a net effect, the particle will fly through the inhomogeneous magnetic field, and it will “feel” an upward force if ...
Wick calculus
Wick calculus

Vargas
Vargas

... The aim of quantum cosmology is to study the universe in the Plank era, in which the main process would be the formation of space-time itself. In fact, it was argued by Fang & Mo and Gibbons & Hartle that the global topology of the present universe would be a relic of its quantum era, since the glo ...
Another version - Scott Aaronson
Another version - Scott Aaronson

... Can every n-qubit unitary be implemented by a quantum circuit with poly(n) depth (but maybe exp(n) ancilla qubits)? Could we prove—unconditionally, with today’s technology—that exponentially many gates are needed to implement some n-qubit unitary U? Generalizations of the Natural Proofs barrier? ...
The Future of Computer Science
The Future of Computer Science

4 Canonical Quantization
4 Canonical Quantization

Tachyons today
Tachyons today

Another version - Scott Aaronson
Another version - Scott Aaronson

Basics of Lattice Quantum Field Theory∗
Basics of Lattice Quantum Field Theory∗

... The gauge links are integrated over SU(N). To have a gauge invariant theory the measure must be invariant under group multiplications by g, h ∈ SU(N ) from either side, Z Z dUf (gUh) ...
Quantum Complexity and Fundamental Physics
Quantum Complexity and Fundamental Physics

... QC’s Don’t Provide Exponential Speedups for Black-Box Search I.e., if you want more than the N Grover speedup for solving an NP-complete problem, then you’ll The “BBBV Noproblem SuperSearch Principle” can even need to exploit structure be applied in physicsBrassard, (e.g., to lower-bound [Bennett, ...
demartini
demartini

Nobel Prize in Physics 2016 Flatland and Topology
Nobel Prize in Physics 2016 Flatland and Topology

... Since a topological invariant is an integer, it cannot change slowly if some small changes are made in the system The only way for a topological invariant to change is to become ill-defined at some point For example, if a closed curve in a plane is gradually deformed, its winding number can only cha ...
Book Reviews
Book Reviews

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M - Eduvark

Topological Phases of matter - Harvard Condensed Matter Theory
Topological Phases of matter - Harvard Condensed Matter Theory

Blue Border - Michigan State University
Blue Border - Michigan State University

... medium. The reason i keep saying 'spacetime/time' is because the simpler idea is time alone. If we allow spacetime to curve, we need another dimension for it to 'curve into': 5D. So this idea requires a fifth dimension .. Not very elegant; we don't see/sense a fifth dimension.. The simpler idea is t ...
1 Two qubits - EECS: www
1 Two qubits - EECS: www

Walter Eduard Thirring 1927-2014
Walter Eduard Thirring 1927-2014

Another version - Scott Aaronson
Another version - Scott Aaronson

... Theorem: Suppose U implements (say) a computationallyuniversal, reversible cellular automaton. Then after t=exp(n) iterations, C(|t) is superpolynomial in n, unless something very unlikely happens with complexity classes (PSPACEPP/poly) Proof Sketch: I proved in 2004 that PP=PostBQP Suppose C(| ...
Truth
Truth

... the experience or perception of a human being. Proof that it is "really there" is established by one or more other human beings who also experience or perceive it and who then confirm the original statement. If I say, "There is an airplane flying overhead," you can look up and see whether my stateme ...
Beables for Quantum Electrodynamics
Beables for Quantum Electrodynamics

... the non-relativistic pilot-wave theory, whose beables are the positions of the particles. The model is also formulated on a spatial lattice (space is discrete but time remains continuous). His model is stochastic, but he suspected that the theory would become deterministic in the continuum limit. We ...
lattice approximations
lattice approximations

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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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