620 research outputs found
Faithful teleportation with arbitrary pure or mixed resource states
We study faithful teleportation systematically with arbitrary entangled
states as resources. The necessary conditions of mixed states to complete
perfect teleportation are proved. Based on these results, the necessary and
sufficient conditions of faithful teleportation of an unknown state |\phi> in
C^d with an entangled resource {\rho} in C^m \otimes C^d and C^d \otimes C^n
are derived. It is shown that for {\rho} in C^m\otimesC^d, {\rho} must be a
maximally entangled state, while for {\rho} in C^d \otimes C^n, {\rho} must be
a puremaximally entangled state. Moreover, we show that the sender's
measurements must be all projectors of maximally entangled pure states. The
relations between the entanglement of the formation of the resource states and
faithful teleportation are also discussed.Comment: 9 page
Lorentz invariance violation in the neutrino sector: a joint analysis from big bang nucleosynthesis and the cosmic microwave background
We investigate constraints on Lorentz invariance violation in the neutrino
sector from a joint analysis of big bang nucleosynthesis and the cosmic
microwave background. The effect of Lorentz invariance violation during the
epoch of big bang nucleosynthesis changes the predicted helium-4 abundance,
which influences the power spectrum of the cosmic microwave background at the
recombination epoch. In combination with the latest measurement of the
primordial helium-4 abundance, the Planck 2015 data of the cosmic microwave
background anisotropies give a strong constraint on the deformation parameter
since adding the primordial helium measurement breaks the degeneracy between
the deformation parameter and the physical dark matter density.Comment: 10 pages, 8 figur
Entanglement conditions for multi-mode states
We provide a class of inequalities for detecting entanglements in multi-mode
systems. Necessary conditions for fully separable, bi-separable and sufficient
conditions for fully entangled states are explicitly presented.Comment: 12 page
- …