The Second Quantized Quantum Turing Machine and Kolmogorov Complexity

Details The Second Quantized Quantum Turing Machine and Kolmogorov Complexity The Second Quantized Quantum Turing Machine and Kolmogorov Complexity

2005-06-30

arxiv.org/abs/quant-ph/0506266v2

Physics

Quantum Physics

5 pages, 0 figures

Scientific paper

The Kolmogorov complexity of a physical state is the minimal physical resources required to reproduce that state. We define a second quantized quantum Turing machine and use it to define second quantized Kolmogorov complexity. There are two advantages to our approach - our measure of second quantized Kolmogorov complexity is closer to physical reality and unlike other quantum Kolmogorov complexities it is continuous. We give examples where second quantized and quantum Kolmogorov complexity differ.

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