Comments on: The Equivalences of the Choi-Jamiolkowski Isomorphism (Part I) http://www.njohnston.ca/2009/10/the-equivalences-of-the-choi-jamiolkowski-isomorphism-part-i/ A blog of recreational math and quantum information theory Mon, 06 Feb 2012 21:25:22 +0000 hourly 1 http://wordpress.org/?v=3.3.1 By: Jamiołkowski-Choi isomorphism | Quantum Optics Lab Olomouc http://www.njohnston.ca/2009/10/the-equivalences-of-the-choi-jamiolkowski-isomorphism-part-i/#comment-1180 Jamiołkowski-Choi isomorphism | Quantum Optics Lab Olomouc Tue, 12 Jul 2011 00:04:11 +0000 http://www.nathanieljohnston.com/?p=786#comment-1180 [...] theorem on completely positive maps Wikipedia: Channel-state duality Wikipedia: Quantum operation N. Johnston, The Equivalences of the Choi-Jamiolkowski Isomorphism (Part I), October 16th, 2009 N. Johnston, The Equivalences of the Choi-Jamiolkowski Isomorphism (Part II), October 23rd, 2009 [...] [...] theorem on completely positive maps Wikipedia: Channel-state duality Wikipedia: Quantum operation N. Johnston, The Equivalences of the Choi-Jamiolkowski Isomorphism (Part I), October 16th, 2009 N. Johnston, The Equivalences of the Choi-Jamiolkowski Isomorphism (Part II), October 23rd, 2009 [...]

]]> By: quasimetric http://www.njohnston.ca/2009/10/the-equivalences-of-the-choi-jamiolkowski-isomorphism-part-i/#comment-503 quasimetric Wed, 10 Nov 2010 16:54:53 +0000 http://www.nathanieljohnston.com/?p=786#comment-503 Dude. This is awesome. Very deep. Mn and Mm are any two manifolds? What are applications of Hermiticity-preserving maps? I assume it's from quantum... Dude. This is awesome. Very deep.

Mn and Mm are any two manifolds?

What are applications of Hermiticity-preserving maps? I assume it’s from quantum…

]]> By: Nathaniel http://www.njohnston.ca/2009/10/the-equivalences-of-the-choi-jamiolkowski-isomorphism-part-i/#comment-154 Nathaniel Thu, 29 Apr 2010 14:33:04 +0000 http://www.nathanieljohnston.com/?p=786#comment-154 Thanks for the correction, Abel. I meant to say "in" Mn ⊗ Mm instead of "on" Mn ⊗ Mm there -- it is fixed now. Thanks for the correction, Abel. I meant to say “in” Mn ⊗ Mm instead of “on” Mn ⊗ Mm there — it is fixed now.

]]> By: Abel http://www.njohnston.ca/2009/10/the-equivalences-of-the-choi-jamiolkowski-isomorphism-part-i/#comment-153 Abel Thu, 29 Apr 2010 05:19:49 +0000 http://www.nathanieljohnston.com/?p=786#comment-153 Maybe I am wrong, but it seems to me that in: "it follows that the set of all linear maps from Mn to Mm corresponds to the set of all linear operators on Mn ⊗ Mm" it should say at the end Cn ⊗ Cm (where by C I mean the Complex numbers) Maybe I am wrong, but it seems to me that in:

“it follows that the set of all linear maps from Mn to Mm corresponds to the set of all linear operators on Mn ⊗ Mm”

it should say at the end Cn ⊗ Cm (where by C I mean the Complex numbers)

]]> By: Nathaniel Johnston » The Other Superoperator Isomorphism http://www.njohnston.ca/2009/10/the-equivalences-of-the-choi-jamiolkowski-isomorphism-part-i/#comment-152 Nathaniel Johnston » The Other Superoperator Isomorphism Fri, 20 Nov 2009 12:15:28 +0000 http://www.nathanieljohnston.com/?p=786#comment-152 [...] few months ago, I spent two posts describing the Choi-Jamiolkowski isomorphism between linear operators from Mn to Mm (often [...] [...] few months ago, I spent two posts describing the Choi-Jamiolkowski isomorphism between linear operators from Mn to Mm (often [...]

]]> By: Nathaniel Johnston » The Equivalences of the Choi-Jamiolkowski Isomorphism (Part II) http://www.njohnston.ca/2009/10/the-equivalences-of-the-choi-jamiolkowski-isomorphism-part-i/#comment-151 Nathaniel Johnston » The Equivalences of the Choi-Jamiolkowski Isomorphism (Part II) Fri, 23 Oct 2009 12:09:53 +0000 http://www.nathanieljohnston.com/?p=786#comment-151 [...] is a continuation of this post. Please read that post to learn what the Choi-Jamiolkowski isomorphism [...] [...] is a continuation of this post. Please read that post to learn what the Choi-Jamiolkowski isomorphism [...]

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