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Re: [ssreflect] Mathematical Components for Quantum Computing


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  • From: Cyril <>
  • To: Robert Rand <>,
  • Subject: Re: [ssreflect] Mathematical Components for Quantum Computing
  • Date: Tue, 12 Sep 2017 09:22:08 +0200

Hi,

On 12/09/2017 00:32, Robert Rand wrote:
I don't know if there's any definition of conjugate transpose for matrices containing closedFieldTypes. (I've been able to define conj_trmx for 'M[algC] - unfortunately, closedFieldType doesn't seem to have an associate conjugate operation?) We would then need some algebraic identities involving conjugate transpose and Kronecker products, plus the basic quantum matrices.

There is an upcomming generalization of numClosedFieldTypes (available only in the development version until now, but soon to be released) that contains conjugation.
I used it in a development to prove the spectral theorem for normal operators: https://github.com/CohenCyril/spectral/blob/master/theories/spectral.v

Best,
--
Cyril



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