On Saturday, April 27, 2013, Prasoon Shukla wrote:
> > Since you are taking about inner products, you might look at
> generalizing some of the code in the quantum module so > that it just
> uses the vector module.
>
> Hmm .. I think it can be done but thinking it through and going through
> the code in quantum module will take some time. My final exams start in 2
> days and will continue past 3rd May. Is it okay if I discuss those ideas
> here on the mailing list after 9th of May (which will be after the
> application deadline obviously) and still get them considered as part of my
> proposal? The final allotment will be on 27th of May so I suppose before
> this time, I can think more about this and solidify whatever ideas I get.
>
> > By the way, real vector spaces and complex vector spaces are
> fundamentally different. So far you seem to be using only > real, since
> I haven't noticed any mention of conjugation. In general, you can
> actually use any field, but that is probably too > algebraic form what
> you are trying to implement.
>
> Fundamentally different? How? I thought that just the field over which the
> vector space is defined changes in this case. Obviously *C* is
> algebraically closed so that might mean something here but I am probably
> missing the point.
>
Symbolically, you can usually just consider R as a special case of C, but
note that the dual spaces are different for the different fields. Actually,
I'll have to think if it will make a difference for the symbolic
manipulation case, or if it just matters in proofs of theorems.
Aaron Meurer
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