Quantum random walks – new method for designing quantum
... Quantum walks can be used to design quantum algorithms for many problems. Quantum walk search: create a classical random walk, quantize it with a speedup. “Quantum black box” within a classical algorithm. ...
... Quantum walks can be used to design quantum algorithms for many problems. Quantum walk search: create a classical random walk, quantize it with a speedup. “Quantum black box” within a classical algorithm. ...
Here
... produce a ‘symplectic connection’ which associates to a path in the base a symplectomorphism between the fibers. Up to a hamiltonian isotopy, this symplectomorphism depends only on the homotopy class of the path. Since two objects of the Fukaya category are isomorphic if they are related by a Hamilt ...
... produce a ‘symplectic connection’ which associates to a path in the base a symplectomorphism between the fibers. Up to a hamiltonian isotopy, this symplectomorphism depends only on the homotopy class of the path. Since two objects of the Fukaya category are isomorphic if they are related by a Hamilt ...
What is and to which end does one study Bohmian Mechanics?
... • the empirical import of BM comes solely from mathematical analysis • Boltzmann’s statistical analysis of BM (ρ = |ϕ|2 ) based on typicality ...
... • the empirical import of BM comes solely from mathematical analysis • Boltzmann’s statistical analysis of BM (ρ = |ϕ|2 ) based on typicality ...
Magnetic-field-induced Anderson localization in a strongly
... transverse motion (perpendicular to the chains) is assumed to be coherent: I/r t, where t is the hopping rate between chains. An interesting theoretical aspect of the quasi-ID problem is that the Green's functions have a very simple form. We can go beyond the usual semiclassical phase integral (also ...
... transverse motion (perpendicular to the chains) is assumed to be coherent: I/r t, where t is the hopping rate between chains. An interesting theoretical aspect of the quasi-ID problem is that the Green's functions have a very simple form. We can go beyond the usual semiclassical phase integral (also ...
Computation in a Topological Quantum Field Theory
... Z-coefficients, equating the classification of UMTCs with counting points on certain algebraic varieties (solution sets to polynomial equations). As of December 2015, UMTCs of rank 4 and lower have been classified via the galois groups associated to them, while in rank 5 all that is known is a list ...
... Z-coefficients, equating the classification of UMTCs with counting points on certain algebraic varieties (solution sets to polynomial equations). As of December 2015, UMTCs of rank 4 and lower have been classified via the galois groups associated to them, while in rank 5 all that is known is a list ...
CHAPTER 14: Elementary Particles
... In the early 1950s physicists had considerable difficulty understanding the myriad of observed reactions and decays. For example, the behavior of the K mesons seemed very odd. There is no conservation law for the production of mesons, but it appeared that K mesons, as well as the Λ and Σ baryons, we ...
... In the early 1950s physicists had considerable difficulty understanding the myriad of observed reactions and decays. For example, the behavior of the K mesons seemed very odd. There is no conservation law for the production of mesons, but it appeared that K mesons, as well as the Λ and Σ baryons, we ...
Symmetry and Supersymmetry - UCLA Department of Mathematics
... Bosons, fermions, and the spin-statistics theorem The exclusion principle for the electrons is a special case of a fundamental dichotomy among elementary particles based on their spin. The spin states of a particle form an irreducible module for SU(2) of dimension 2j + 1 where j ∈ (1/2)Z is the spi ...
... Bosons, fermions, and the spin-statistics theorem The exclusion principle for the electrons is a special case of a fundamental dichotomy among elementary particles based on their spin. The spin states of a particle form an irreducible module for SU(2) of dimension 2j + 1 where j ∈ (1/2)Z is the spi ...
Feynman lectures on computation
... • If gcd(j,r)=1, we can determine r by canceling M r to an irreducible fraction. • From number theory, the probability that a number chosen randomly from 1…r is coprime to r is greater than 1/logr. Thus we repeat the computation O(logr)
... • If gcd(j,r)=1, we can determine r by canceling M r to an irreducible fraction. • From number theory, the probability that a number chosen randomly from 1…r is coprime to r is greater than 1/logr. Thus we repeat the computation O(logr)
