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In a recent paper,

Side-Channel-Free Quantum Key Distribution, by Samuel L. Braunstein and Stefano Pirandola. Phys. Rev. Lett. 108, 130502 (2012). doi:10.1103/PhysRevLett.108.130502, arXiv:1109.2330,

the authors repeatedly claim that

the dual teleportation channel act(s) as an ideal Hilbert space filter[...]

What do they mean by a Hilbert space filter?

How does teleportation act as a Hilbert space filter?

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It's described in the 1999 Lo-Chau article in science, reference 17 here. You may also try to look at www-users.cs.york.ac.uk/schmuel/papers/bp12.pdf It's a filter against any side channel. – Luboš Motl Apr 20 '12 at 16:13
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@LubošMotl: Why don't you write it as an answer? – András Bátkai Apr 24 '12 at 19:00

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