Quantum State Complexity Measure

Details Quantum State Complexity Measure Quantum State Complexity Measure

2011-10-27

arxiv.org/abs/1110.6128v1

Physics

Quantum Physics

12 pages, 4 figures

Scientific paper

The complexity measures role has become much clearer in recent years as they help to better understand complex systems dynamical behavior. Even though the large number of measures proposed to tackle this issue for classical systems, for quantum systems only Kolmogorov's algorithm complexity extensions have been proposed. Hence, the present approach makes use of a new and mathematically well-established complexity measure for classical systems and extends it to assess quantum states complexity as well. Then the proposed extension is applied to a mixed state constructed with a W-state together with controlled white noise, showing a convex behavior of quantum state complexity. Thus, this reinforces the differences from previous known quantum complexities.

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