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arXiv · 0809.2642

Second Quantized Kolmogorov Complexity

Caroline Rogers·Vlatko Vedral·Rajagopal Nagarajan
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Abstract

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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Caroline Rogers, Vlatko Vedral, Rajagopal Nagarajan. 2008-09-16. Second Quantized Kolmogorov Complexity. https://arxiv.org/abs/0809.2642

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