Quantum Knots and Lattices, or a Blueprint for Quantum Systems
... ignored, or simply discarded. If one’s objective is to solve the central problem of knot theory, i.e., the placement problem, then it is a sound strategy frequently to ignore the unneeded non-pertinent geometric structure of 3-space. However, if one’s objective is to use knot theory as a tool for in ...
... ignored, or simply discarded. If one’s objective is to solve the central problem of knot theory, i.e., the placement problem, then it is a sound strategy frequently to ignore the unneeded non-pertinent geometric structure of 3-space. However, if one’s objective is to use knot theory as a tool for in ...
Lie algebra decompositions with applications to quantum dynamics
... be used to design quantum circuits, that is, sequences of gates which perform operations on the quantum state. In particular, assuming that a certain quantum algorithm corresponds to a unitary transformation Xf on the state of a quantum system, a decomposition of the type (1.1) allows to break Xf in ...
... be used to design quantum circuits, that is, sequences of gates which perform operations on the quantum state. In particular, assuming that a certain quantum algorithm corresponds to a unitary transformation Xf on the state of a quantum system, a decomposition of the type (1.1) allows to break Xf in ...
Full-text PDF - Research School of Physics and Engineering
... P1 þ P2 þ þ PN The set of Eq. (7) is not closed. It cannot be used directly since, in order to trace the dynamics of the soliton components, we should know the electric field at each point ðx; zÞ in space, i.e., effectively complete solutions of Eq. (1) are required. In this sense Eq. (7) are eq ...
... P1 þ P2 þ þ PN The set of Eq. (7) is not closed. It cannot be used directly since, in order to trace the dynamics of the soliton components, we should know the electric field at each point ðx; zÞ in space, i.e., effectively complete solutions of Eq. (1) are required. In this sense Eq. (7) are eq ...
