Quantum Bayesian Networks

August 20, 2012

Up Yours John Pierce (Said With Echo On)

Filed under: Uncategorized — rrtucci @ 9:41 pm

Check out my new paper

“Capacity Region for Quantum Wiretap Coding”, by Robert R. Tucci, arXiv:1208.3193 (abstract here)

This paper is my answer to John Pierce’s piercing comments. I thank him for goading me from the grave to work on this problem. The paper is very likely to contain numerous flaws, but it’s the best I can do (at least until I learn more).

Let me place it in context. It’s really just the final in a series of 4 papers

  1. “An Introduction to Quantum Bayesian Networks for Mixed States”, by Robert R. Tucci, arXiv:1204.1550 (abstract here)

  2. “Some Quantum Information Inequalities from a Quantum Bayesian Networks Perspective”, by Robert R. Tucci, arXiv:1208.1503 (abstract here)

  3. “Shannon Information Theory Without Shedding Tears Over Delta \& Epsilon Proofs or Typical Sequences”, by Robert R. Tucci, arXiv:1208.2737 (abstract here)

  4. “Capacity Region for Quantum Wiretap Coding”, by Robert R. Tucci, arXiv:1208.3193 (abstract here)

All along, my main goal was merely to write paper 4, but I soon realized that I would have to write papers 1,2,3 first, if people were to follow my crazy notation, which seems to be unlike what everyone else uses.

You may have noticed that

first paper ~ 20 pages
second paper ~ 30 pages
third paper ~ 40 pages
fourth paper ~ 50 pages.

It looks like my verbosity is increasing with time, but no need to worry. I will not attempt to imitate B. Russell’s 10,000 page Principia Mathematica, a book that took 10 years to write and one that nobody has ever read. No chance of that for I burnt out all my fuses while writing paper 4. Now I’m totally exhausted and totally depleted of any new ideas.

4 Comments »

  1. Nice one. Hey, I read Principia Mathematica when I was 14. I got bored. It seemed like they took a 100 pages to get to 1+1 = 2.

    I picked up the Moscow Book of Puzzles instead. That was a far more interesting read.

    I am still trying to understand why people think there is a word Quantum in front of Information Theory.

    However, I am peculiar🙂 I will read your papers Robert. I like your style.

    Bad Arse Math

    Comment by Kingsley Jones — August 20, 2012 @ 10:46 pm

  2. Congrats! Will take me a while to cut my teeth on these, but certainly added to my reading list pile.

    Comment by Henning Dekant — August 21, 2012 @ 12:43 am

  3. Thank you for your nice comments, Kingsley and Henning

    Comment by rrtucci — August 21, 2012 @ 3:52 am

  4. […] At this point it is not obvious (at least to me) what impact these new insights on quantum discord will have in the long run, i.e. how do you develop algorithms to take advantage of this resource, and how will it, for instance, impact the channel capacity for quantum communication? (For a take on the latter see R.Tucci's latest papers). […]

    Pingback by Order from Quantum Discord | Wavewatching — September 11, 2012 @ 4:01 am


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