Quantum strategies
... case representation in a quantum system provides advantages over the classical situation: Simon’s quantum algorithm to identify the period of a function chosen by an oracle is more efficient than any deterministic or probabilistic algorithm [1] and provided the foundation for Shor’s polynomial time ...
... case representation in a quantum system provides advantages over the classical situation: Simon’s quantum algorithm to identify the period of a function chosen by an oracle is more efficient than any deterministic or probabilistic algorithm [1] and provided the foundation for Shor’s polynomial time ...
Quantum Mechanics and Chaos Theory
... The conclusion we draw is thus that the divergence of what we call “nearby” trajectories from one another is at most linear, and therefore this billiard system is entirely integrable. Now let us add a circular rail to the center of the previous billiard. By this simple change, we dramatically alter ...
... The conclusion we draw is thus that the divergence of what we call “nearby” trajectories from one another is at most linear, and therefore this billiard system is entirely integrable. Now let us add a circular rail to the center of the previous billiard. By this simple change, we dramatically alter ...
slides - Frontiers of Fundamental Physics (FFP14)
... What is a Quantum-Mechanical Proposition? (i) A full description of a quantum-mechanical phenomenon (see Bohr 1958) or process (see Feynman 1968– the word “process” will be used hereafter) must include a specification of the result of an initial preparation of the system, an account of the type of ...
... What is a Quantum-Mechanical Proposition? (i) A full description of a quantum-mechanical phenomenon (see Bohr 1958) or process (see Feynman 1968– the word “process” will be used hereafter) must include a specification of the result of an initial preparation of the system, an account of the type of ...
Superintegrability as an organizing principle for special function theory
... admits n algebraically independent commuting symmetry operators. It is superintegrable if it is integrable and admits 2n-1 algebraically independent symmetry operators (the maximum possible, but of course not all commuting). If the independent symmetries can all be chosen of order k or less as diffe ...
... admits n algebraically independent commuting symmetry operators. It is superintegrable if it is integrable and admits 2n-1 algebraically independent symmetry operators (the maximum possible, but of course not all commuting). If the independent symmetries can all be chosen of order k or less as diffe ...
