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Article
Generation and distillation of non-Gaussian entanglement from nonclassical photon statistics
With a product state of the form \({{\rho}_{\rm in} = {\rho}_{a} \otimes |0 \rangle_b {_b} \langle 0|}\) as input to ...
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Article
A measure of non-Gaussianity for quantum states
We propose a measure of non-Gaussianity for quantum states of a system of n oscillator modes. Our measure is based on the quasi-probability ...
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Article
Hamilton's Turns for the Lorentz Group
Hamilton in the course of his studies on quaternions came up with an elegant geometric picture for the group SU(2). In this picture the group elements are represented by “turns,” which are equivalence classes of ...
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Chapter
Separability Criterion for Gaussian States
The PPT (positivity under partial transpose) criterion is studied in the context of separability of continuous variable bipartite states. The partial transpose operation admits, in the Wigner representation of...
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Chapter
Canonical Forms of Positive Definite Matrices under Congruence: Extensions of the Schweinler-Wigner Extremum Principle
It is well known that a N-dimensional real symmetric [complex hermitian] matrix V is congruent to a diagonal matrix modulo an orthogonal [unitary] matrix[1]. That is, V = S✝DS where D is diagonal and S ∈ SO(N) [S
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Article
Families of bose rays in quantum optics
Having known classical wave optics and wave mechanics, can we reverse Schrödinger's path and extend the concept of families of rays of light to provide a new exact rendering of quantum optics including the Bos...