Abstract
Using Shannon information theory is a common strategy to measure any kind of variability in a signal or phenomenon. Some methods were developed to adapt information entropy measures to bird song data trying to emphasize its versatility aspect. This classical approach, using the concept of bit, produces interesting results. Now, the original idea developed in this paper is to use the quantum information theory and the quantum bit (q-bit) concept in order to provide a more complete vision of the experimental results.
Highlights
The first papers suggesting informational entropy as a biological complexity measure appeared in the 70’s (Saunders and Ho 1976) and several applications of these ideas have been implemented with good results (Silva et al 2000, Mazza et al 2002)
Under the quantum mechanics hypothesis, the information is measured in quantum bits (q-bit) (Hirvensalo 2001)
The idea of using information theory to evaluate biological complexity had a strong development in the middle of the 70’s, when researchers tried to collect the relevant data about some process or system and to calculate the necessary memory capacity, measured in bits, in order to record them (Saunders and Ho 1976, Papentin 1980)
Summary
The first papers suggesting informational entropy as a biological complexity measure appeared in the 70’s (Saunders and Ho 1976) and several applications of these ideas have been implemented with good results (Silva et al 2000, Mazza et al 2002). The main hypothesis of this approach is that the systems present probabilistic behaviors, implying the construction of σ -algebras of events and probability measures over the σ -algebras. It is a probabilistic view of nature and it is supposed that, in spite of the probabilistic behavior, a search for regularities is possible. The hypothesis of considering that the natural system temporal evolution happens in this way could be complemented with quantum mechanics concepts. Under the quantum mechanics hypothesis, the information is measured in quantum bits (q-bit) (Hirvensalo 2001). Quantum systems might present self-organized and complex behavior and using qbits to evaluate complexity seems to be an interest-
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