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arXiv · 1807.05218

Properties of the (Un)Complexity of Subsystems

Henry Stoltenberg
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Abstract

I investigate some properties of proposed definitions for subsystem/mixed state complexity and uncomplexity. A very strong dependence arises on the density matrix's degeneracy which gives a large separation in the scaling of maximum subsystem complexity with number of qubits (linear compared to exponential). I also investigate several cases where the uncomplexity of quantum states are superadditive and present some challenges and progress in showing that the relation holds in complete generality.

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BibTeXRIS

Henry Stoltenberg. 2018-10-26. Properties of the (Un)Complexity of Subsystems. https://doi.org/10.1103/physrevd.98.126012

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