12,539 research outputs found
Security of Plug-and-Play QKD Arrangements with Finite Resources
The security of a passive plug-and-play QKD arrangement in the case of finite
(resources) key lengths is analysed. It is assumed that the eavesdropper has
full access to the channel so an unknown and untrusted source is assumed. To
take into account the security of the BB84 protocol under collective attacks
within the framework of quantum adversaries, a full treatment provides the
well-known equations for the secure key rate. A numerical simulation keeping a
minimum number of initial parameters constant as the total error sought and the
number of pulses is carried out. The remaining parameters are optimized to
produce the maximum secure key rate. Two main strategies are addressed: with
and without two-decoy-states including the optimization of signal to decoy
relationship
B\"acklund transformations in 2D dilaton gravity
We give a B\"acklund transformation connecting a generic 2D dilaton gravity
theory to a generally covariant free field theory. This transformation provides
an explicit canonical transformation relating both theories.Comment: LaTeX file, 7 page
Virasoro Orbits, AdS_3 Quantum Gravity and Entropy
We analyse the canonical structure of AdS_3 gravity in terms of the coadjoint
orbits of the Virasoro group. There is one subset of orbits, associated to BTZ
black hole solutions, that can be described by a pair of chiral free fields
with a background charge. There is also a second subset of orbits, associated
to point-particle solutions, that are described by two pairs of chiral free
fields obeying a constraint. All these orbits admit K\"ahler quantization and
generate a Hilbert space which, despite of having ,
does not provide the right degeneracy to account for the Bekenstein-Hawking
entropy due to the breakdown of modular invariance. Therefore, additional
degrees of freedom, reestablishing modular invariance, are necessarily required
to properly account for the black hole entropy.Comment: LaTex file, 12 pages. New references adde
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