43,305 research outputs found
Signifying quantum benchmarks for qubit teleportation and secure communication using Einstein-Podolsky-Rosen steering inequalities
The demonstration of quantum teleportation of a photonic qubit from Alice to
Bob usually relies on data conditioned on detection at Bob's location. I show
that Bohm's Einstein-Podolsky-Rosen (EPR) paradox can be used to verify that
the quantum benchmark for qubit teleportation has been reached, without
postselection. This is possible for scenarios insensitive to losses at the
generation station, and with efficiencies of for the
teleportation process. The benchmark is obtained, if it is shown that Bob can
{}"steer" Alice's record of the qubit as stored by Charlie. EPR steering
inequalities involving measurement settings can also be used to confirm
quantum teleportation, for efficiencies , if one assumes trusted
detectors for Charlie and Alice. Using proofs of monogamy, I show that
two-setting EPR steering inequalities can signify secure teleportation of the
qubit state.Comment: 10 pages, 1 Figur
Local Sylow theory of totally disconnected, locally compact groups
We define a local Sylow subgroup of a totally disconnected, locally compact
group G to be a maximal pro-p subgroup of an open compact subgroup of G. We use
these subgroups to define the p-localisation of G, a locally virtually pro-p
group which maps continuously and injectively to G with dense image, and
describe the relationship between the scale and modular functions of G and
those of its p-localisation. In the case of locally virtually prosoluble
groups, we consider all primes simultaneously using local Sylow bases.Comment: 13 page
Macroscopic Local Realism Incompatible with Quantum Mechanics: Failure of Local Realism where Measurements give Macroscopic Uncertainties
We show that quantum mechanics predicts a contradiction with local hidden
variable theories for photon number measurements which have limited resolving
power, to the point of imposing an uncertainty in the photon number result
which is macroscopic in absolute terms. We show how this can be interpreted as
a failure of a new premise, macroscopic local realism.Comment: 9 pages 3 figure
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