Zobrazeno 1 - 10
of 117
pro vyhledávání: '"Allan I. Solomon"'
Autor:
Sophie Schirmer, Allan I. Solomon
Publikováno v:
Journal of Russian Laser Research. 32:502-510
We investigate quantum control of the dissipation of entanglement under environmental decoherence. We show by means of a simple two-qubit model that standard control methods - coherent or open-loop control - will not in general prevent entanglement l
Autor:
Allan I. Solomon
Publikováno v:
Physics of Atomic Nuclei. 73:524-532
The “Bell” of the title refers to bipartite Bell states, and their extensions to, for example, tripartite systems. The “Group” of the title is the Braid Group in its various representations; while “Tangle” refers to the property of entang
Publikováno v:
Journal of Russian Laser Research. 31:162-181
We construct a three-parameter deformation of the Hopf algebra LDIAG. This is the algebra that appears in an expansion in terms of Feynman-like diagrams of the product formula in a simplified version of quantum field theory. This new algebra is a tru
Autor:
Allan I. Solomon
Publikováno v:
Foundations of Physics. 40:684-691
The technique of the normal ordering of non-commuting operators is an important tool in the solution of problems involving creation and annihilation operators in quantum physics, such as in many-body theory or quantum optics. We point out the inconsi
Autor:
Allan I. Solomon
Publikováno v:
The European Physical Journal Special Topics. 160:391-397
We find states for a multi-level system which are stable under a very general model of dissipation, one which is governed simply by generic rate parameters; in general such stable states are not entangled. We exhibit such a state explicitly for a two
Publikováno v:
American Journal of Physics. 75:639-646
We discuss a general combinatorial framework for operator ordering problems by applying it to the normal ordering of the powers and exponential of the boson number operator. The solution of the problem is given in terms of Bell and Stirling numbers e
Publikováno v:
Journal of Physics A: Mathematical and General. 39:4999-5006
We introduce a generalization of the Dobinski relation through which we define a family of Bell-type numbers and polynomials. For all these sequences we find the weight function of the moment problem and give their generating functions. We provide a
Publikováno v:
Journal of Physics: Conference Series. 30:107-118
In a recent series of communications we have shown that the reordering problem of bosons leads to certain combinatorial structures. These structures may be associated with a certain graphical description. In this paper, we show that there is a Hopf A
Publikováno v:
Czechoslovak Journal of Physics. 55:1335-1341
We present a combinatorial method of constructing solutions to the normal ordering of boson operators. Generalizations of standard combinatorial notions - the Stirling and Bell numbers, Bell polynomials and Dobinski relations - lead to calculational
Publikováno v:
Journal of Optics B: Quantum and Semiclassical Optics. 7:S293-S299
We consider the degrees of controllability of multi-partite quantum systems as well as necessary and sufficient criteria for each case. The results are applied to the problem of simultaneous control of an ensemble of quantum dots with a single laser