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American Journal of Physics

The Logic of Quanta (Concluded)

Gustav Bergmann

Published Nov 1, 1947• 3 citations
Publisher
DOI
10.1119/1.1991012

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•Feb 3, 2004•23 citations
Number system is a basic tool to describe computation. The traditional binary system has placed a pivotal position in the development of classic computers. However, it is a quite a riddle to find a proper numeral system for the new-fashioned quantum computation. The present paper analyses the dilemma of numeral system for quantum computation from the ancient Chinese trinity theory represented by TaiXuan. The essential difference of Quantum computation from classical computation is quanta entanglement, which reflects not only but also the indescribable True-false value in logic. The paper concludes with the dilemma that we caneither describe quantum computation by the classic number system at the cost of losing the essence of quanta entanglement or we can’t find a number system to describe the quantum Hehe nature altogether.
Quantum mechanics is a fundamentally probabilistic theory (at least so far as the empirical predictions are concerned). It follows that, if one wants to properly understand quantum mechanics, it is essential to clearly understand the meaning of probability statements. The interpretation of probability has excited nearly as much philosophical controversy as the interpretation of quantum mechanics. 20th century physicists have mostly adopted a frequentist conception. In this paper it is argued that we ought, instead, to adopt a logical or Bayesian conception. The paper includes a comparison of the orthodox and Bayesian theories of statistical inference. It concludes with a few remarks concerning the implications for the concept of physical reality.