From: Vaughan Pratt <pratt@cs.stanford.edu>
To: categories <categories@mta.ca>
Subject: Re: Quantum computation and categories
Date: Mon, 04 Jan 2010 00:12:34 -0800 [thread overview]
Message-ID: <E1NRyxY-0007S0-Ol@mailserv.mta.ca> (raw)
In-Reply-To: <E1NRcuG-0002VJ-OU@mailserv.mta.ca>
John Baez wrote:
> (The infinite-dimensional case would introduce extra wrinkles, like
> unbounded self-adjoint operators. It's possible that only after we treat
> this case correctly can we declare that we know what's going on. Perhaps
> trying to treat both unitary and self-adjoint operators as morphisms in the
> same category is simply a bad idea. There are a lot of options worth
> exploring.)
How about starting with rigged Hilbert space? If anything can restore
your dagger that should. There's even a Wikipedia article on it;
something on dagger categories would be a useful addition to that article.
Vaughan
[For admin and other information see: http://www.mta.ca/~cat-dist/ ]
next prev parent reply other threads:[~2010-01-04 8:12 UTC|newest]
Thread overview: 10+ messages / expand[flat|nested] mbox.gz Atom feed top
2010-01-04 0:38 John Baez
2010-01-04 5:02 ` Toby Bartels
2010-01-04 8:12 ` Vaughan Pratt [this message]
-- strict thread matches above, loose matches on Subject: below --
2010-01-01 4:44 Fred E.J. Linton
2009-12-30 14:52 Peter Selinger
2010-01-01 19:06 ` John Baez
2009-12-28 0:30 John Baez
2009-12-29 6:03 ` Toby Bartels
[not found] ` <20091229060352.GA14681@ugcs.caltech.edu>
2009-12-29 7:30 ` John Baez
2009-12-29 14:33 ` Mark Weber
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