IEEE - Aerospace and Electronic Systems - May 2022 - Tutorial XV - 81
Sorelli et al.
Figure 6.
Upper bounds for the mean error probability for classical (blue) and quantum (red) illumination as a function of the number of copies M of
the state used to interrogate the target region. We also included the lower bound (black dashed) for CI. On the left, we see that in Ns 1
case there is a clear regime where the QI illumination upper bound falls below the coherent states lower bound. On the other hand, on the
right hand side, we see that already for Ns ΒΌ 1 the QI upper bound falls between the bounds for CI.
bound for coherent state illumination (see left panel in
Figure 6) showing a clear quantum advantage.
However, the full expression for PQI
e
tells us that this
quantum advantage becomes less and less important when
increasingNs (right panel in Figure 6), and it ultimately disappears
when Ns 1. This can be understood if we consider
that the quantum advantage originates from the fact
that the two-mode squeezed vacuum has stronger phase-sensitive
correlations than any possible classical state, but that,
as discussed in the section " Phase Space Distribution and
Gaussian States, " the difference between these correlations
and those allowed by classical means becomes less and less
important when the photon number is increased.
the quantum advantage offered by QI while using standard
quantum optics detection schemes.
There are substantially the following three kinds of
measurement that can be easily performed in quantum
optics [23].
1) Homodyne detection is a measurement of the quadrature
operator
q^ (or p^) associated with a given
PRACTICAL RECEIVERS FOR QI
In the previous section, we calculated bounds on the mean
error probability for classical and QI. However, we left
IEEE - Aerospace and Electronic Systems - May 2022 - Tutorial XV
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IEEE - Aerospace and Electronic Systems - May 2022 - Tutorial XV - Contents
IEEE - Aerospace and Electronic Systems - May 2022 - Tutorial XV - Cover2
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IEEE - Aerospace and Electronic Systems - May 2022 - Tutorial XV - Cover3
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