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Re: Re: von Neumann entropy

  • To: mathgroup at smc.vnet.net
  • Subject: [mg43158] Re: [mg43153] Re: von Neumann entropy
  • From: Eric Bittner <bittner at uh.edu>
  • Date: Fri, 15 Aug 2003 04:27:05 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

Hi Paul,
You're procedure
>   r = Eigenvalues[rho];
>   S = - r . Log[r]
is the correct way to compute S = -Tr(rho log(rho) ).
The basic idea being that the trace is invariant to representation.
At least, this is the way we compute S in our quantum relaxation
work.

Cheers!
Eric

--
Prof. Eric R. Bittner
Department of Chemistry
Univ. of Houston
ph:  713-743-2775    fax: 713-743-2709
bittner at uh.edu
http://k2.chem.uh.edu/bittner/

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The sun, with all those planets revolving around it and dependent upon  
it,
can still ripen a bunch of grapes as if it had nothing else in the  
universe
to do. -Galileo Galilei, physicist and astronomer (1564-1642)


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