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What is a Hilbert space filter?

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In a recent paper (arXiv here), 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?

This post has been migrated from (A51.SE)

asked Apr 20, 2012 in Theoretical Physics by Catherine Holloway (65 points) [ no revision ]

It's described in the 1999 Lo-Chau article in science, reference 17 here. You may also try to look at http://www-users.cs.york.ac.uk/schmuel/papers/bp12.pdf It's a filter against any side channel.

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commented Apr 20, 2012 by Luboš Motl (10,278 points) [ no revision ]

@LubošMotl: Why don't you write it as an answer?

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commented Apr 24, 2012 by András Bátkai (275 points) [ no revision ]

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