Hamiltonian Systems with Three or More
... the Baggot Hamiltonian, as β12 < 0 and λ > 0 the 1:1 resonance width actually decreases as the actions I1 , I2 get larger. Note also that we do not explicitly consider secondary resonances since we are interested only in the large-scale structure of the classical phase space (i.e., intersection of t ...
... the Baggot Hamiltonian, as β12 < 0 and λ > 0 the 1:1 resonance width actually decreases as the actions I1 , I2 get larger. Note also that we do not explicitly consider secondary resonances since we are interested only in the large-scale structure of the classical phase space (i.e., intersection of t ...
Basis Sets - unix.eng.ua.edu
... Eq. Concentrate on more efficient and more elegant methods for performing these type of calculations. The second approach is the more fundamental approach. It has greater potential for describing new systems, without the inherent need for any “fitting”. We will begin by concentrating on the 2nd appr ...
... Eq. Concentrate on more efficient and more elegant methods for performing these type of calculations. The second approach is the more fundamental approach. It has greater potential for describing new systems, without the inherent need for any “fitting”. We will begin by concentrating on the 2nd appr ...
Easy Spin-Symmetry-Adaptation. Exploiting the Clifford
... Account for Pauli Exclusion Principle ...
... Account for Pauli Exclusion Principle ...
Introduction to quantum Fisher information
... The Cramér-Rao inequality belongs to the basics of estimation theory in mathematical statistics. Its quantum analog appeared in the 1970’s, see the book [20] of Helstrom and the book [22] of Holevo. Although both the classical Cramér-Rao inequality and its quantum analog are mathematically as triv ...
... The Cramér-Rao inequality belongs to the basics of estimation theory in mathematical statistics. Its quantum analog appeared in the 1970’s, see the book [20] of Helstrom and the book [22] of Holevo. Although both the classical Cramér-Rao inequality and its quantum analog are mathematically as triv ...
3 Ion Trap Implementations
... hold almost every ion, only a few ions are suitable for quantum computation. The following requirements should be met: • The electronic level structure should be simple to allow the realization of a closed two level system without the need of too many lasers. • The levels used for the qubit transiti ...
... hold almost every ion, only a few ions are suitable for quantum computation. The following requirements should be met: • The electronic level structure should be simple to allow the realization of a closed two level system without the need of too many lasers. • The levels used for the qubit transiti ...
Quantum teleportation
Quantum teleportation is a process by which quantum information (e.g. the exact state of an atom or photon) can be transmitted (exactly, in principle) from one location to another, with the help of classical communication and previously shared quantum entanglement between the sending and receiving location. Because it depends on classical communication, which can proceed no faster than the speed of light, it cannot be used for faster-than-light transport or communication of classical bits. It also cannot be used to make copies of a system, as this violates the no-cloning theorem. While it has proven possible to teleport one or more qubits of information between two (entangled) atoms, this has not yet been achieved between molecules or anything larger.Although the name is inspired by the teleportation commonly used in fiction, there is no relationship outside the name, because quantum teleportation concerns only the transfer of information. Quantum teleportation is not a form of transportation, but of communication; it provides a way of transporting a qubit from one location to another, without having to move a physical particle along with it.The seminal paper first expounding the idea was published by C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres and W. K. Wootters in 1993. Since then, quantum teleportation was first realized with single photons and later demonstrated with various material systems such as atoms, ions, electrons and superconducting circuits. The record distance for quantum teleportation is 143 km (89 mi).