Quantum Game Theory
... The minority game (using multi-qubit GHZ state, if I have time!) The battle of the sexes Rock-Sissors-Paper etc! ...
... 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
... 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 ...
... 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
... The minority game (using multi-qubit GHZ state, if I have time…) The battle of the sexes Rock-Sissors-Paper etc… ...
... The minority game (using multi-qubit GHZ state, if I have time…) The battle of the sexes Rock-Sissors-Paper etc… ...
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 ...
... 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 ...
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 ...
... 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
... 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? ...
... 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? ...
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) ...
... 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
... 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, ...
... 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, ...
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 ...
... 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 ...
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 ...
... 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 ...
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 (PSPACEPP/poly) Proof Sketch: I proved in 2004 that PP=PostBQP Suppose C(| ...
... 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 (PSPACEPP/poly) Proof Sketch: I proved in 2004 that PP=PostBQP Suppose C(| ...
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 ...
... 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
... 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 ...
... 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 ...