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QUANTUM KOLMOGOROV COMPLEXITY AND ITS APPLICATIONS
2007
International Journal of Quantum Information
Kolmogorov complexity is a measure of the information contained in a binary string. We investigate here the notion of quantum Kolmogorov complexity, a measure of the information required to describe a quantum state. We show that for any definition of quantum Kolmogorov complexity measuring the number of classical bits required to describe a pure quantum state, there exists a pure n-qubit state which requires exponentially many bits of description. This is shown by relating the classical
doi:10.1142/s0219749907003171
fatcat:27eptxbcxbblxh7kuybxeffyte