Quantum Bayesian Networks

January 12, 2011

A New Everest: Relativistic Quantum Shannon Information Theory

Filed under: Uncategorized — rrtucci @ 4:36 pm

In my previous blog post, I raved about the remarkable progress that has been made in the last 20 years in the field of quantum SIT (Shannon Information Theory). But a physicist’s work is never done. While much work remains to be done in non-relativistic quantum SIT, we can already see, looming in the horizon, a commandingly high peak awaiting to be climbed for the first time.

Special relativity and quantum mechanics were merged long ago. This process started with P.A.M. Dirac’s monumental 1928 paper entitled “The Quantum Theory of the Electron”, where he first introduced the Dirac equation. Then Schwinger, Feynman, Tomonaga and others developed QED (Quantum Electrodynamics). Even later others developed Quantum Gauge Field Theories and the Standard Model.

Merging special relativity and quantum mechanics to produce what we now call high energy physics or relativistic quantum field theories, has been an immensely productive endeavor. Perhaps merging special relativity and quantum SIT will prove to be productive too. The Dirac of SIT may be writing his monumental paper as we speak. Maybe someday this will yield some non-trivial insights into quantum gravity and String Theory.

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4 Comments »

  1. I, for one, am glad you didn’t call it the “ShIT” theory.

    Comment by illuminaughty — January 14, 2011 @ 1:11 pm

  2. I wanted to put a Shannon in front of Information Theory because IT(=information technology) is already taken. Also, one is reminded of Newtonian Mechanics, which is another field invented mainly by one person. Shannon Information Theory is fundamental to how nature works, so in that sense your term also applies.

    Comment by rrtucci — January 14, 2011 @ 3:37 pm

  3. Robert,

    You may want to check out some of the following papers on relativistic quantum Shannon theory:

    http://arxiv.org/abs/1105.0119
    http://arxiv.org/abs/1103.0286
    http://arxiv.org/abs/1011.2215
    http://arxiv.org/abs/1007.0997
    http://arxiv.org/abs/1001.1732
    http://arxiv.org/abs/0807.4536

    The mountain has already started to be climbed, but there should be much more to find up there…

    Comment by Mark Wilde — May 26, 2011 @ 8:54 pm

  4. Hi Mark,
    Thank you very much for the references. I’ll be sure to check them out.
    P.S. I love your quantum Shannon Info Theory book. I’ve spent many days studying it. I’m particularly glad about the new additions you made on April of this year.
    Regards, Bob

    Comment by rrtucci — May 27, 2011 @ 12:34 am


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