Second Quantized Kolmogorov Complexity

Details Second Quantized Kolmogorov Complexity Second Quantized Kolmogorov Complexity

2008-09-16

arxiv.org/abs/0809.2642v1

Volume No. 06, Issue No. 04 of IJQI, Pg 907 - 928, 2008

Physics

Quantum Physics

14 pages, 0 figures

Scientific paper

The Kolmogorov complexity of a string is the length of its shortest description. We define a second quantised Kolmogorov complexity where the length of a description is defined to be the average length of its superposition. We discuss this complexity's basic properties. We define the corresponding prefix complexity and show that the inequalities obeyed by this prefix complexity are also obeyed by von Neumann entropy.

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