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Structure of Physical Theory from Information Symmetry | | Manik Banik
; Sutapa Saha
; Tamal Guha
; Sristy Agrawal
; Some Sankar Bhattacharya
; Arup Roy
; A. S. Majumdar
; | | Date: |
23 May 2019 | | Abstract: | We propose a profound consequence of symmetry towards the axiomatic
derivation of Hilbert space quantum theory. Specifically, we show that the
symmetry of information gain in minimal error state discrimination induces a
non-trivial proviso on the state space structure of a physical theory. The
symmetry considered here puts a restriction on the means of optimal guessing of
a system’s state from that of an ensemble. We coin the term information
symmetry (IS) since it constrains the way optimal information gain occurs in
the act of measurement. It is found that IS rules out a broad class of
generalized probabilistic theories while being perfectly compatible with
physical theories such as quantum and classical mechanics. | | Source: | arXiv, 1905.9413 | | Services: | Forum | Review | PDF | Favorites | |
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