Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mach-Zehnder Interferometry at the Heisenberg Limit with coherent and
  squeezed-vacuum light   We show that the phase sensitivity $\Delta \theta$ of a Mach-Zehnder
interferometer fed by a coherent state in one input port and squeezed-vacuum in
the other one is i) independent from the true value of the phase shift and ii)
can reach the Heisenberg limit $\Delta \theta \sim 1/N_T$, where $N_T$ is the
average number of particles of the input states. We also show that the
Cramer-Rao lower bound, $\Delta \theta \propto 1/ \sqrt{|\alpha|^2 e^{2r} +
\sinh^2r}$, can be saturated for arbitrary values of the squeezing parameter
$r$ and the amplitude of the coherent mode $|\alpha|$ by a Bayesian phase
inference protocol.

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The categories of this paper are: q-bio
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The categories of this paper are: q-alg
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The categories of this paper are: atom-ph
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The categories of this paper are: math-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga
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The categories of this paper are: ao-sci
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The categories of this paper are: cs
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The categories of this paper are: nucl-th
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The categories of this paper are: physics
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The categories of this paper are: math
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The categories of this paper are: alg-geom
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The categories of this paper are: stat
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin