Two Approaches to the Quantitative Definition of Information in an Individual Pure Quantum State
نویسنده
چکیده
In analogy of classical Kolmogorov complexity we define a notion of the algorithmic information in bits contained in any one of continuously many pure quantum states: quantum Kolmogorov complexity. Classical Kolmogorov complexity coincides with the new quantum Kolmogorov complexity restricted to the classical domain. Quantum Kolmogorov complexity is upper bounded and can be effectively approximated from above. With high probability a quantum object is incompressible. A second approach defines the complexity as the length of the shortest qubit program that effectively describes the object.
منابع مشابه
Three Approaches to the Quantitative Definition of Information in an Individual Pure Quantum State
In analogy of classical Kolmogorov complexity we develop a theory of the algorithmic information in bits contained in any one of continuously many pure quantum states: quantum Kolmogorov complexity. Classical Kolmogorov complexity coincides with the new quantum Kolmogorov complexity restricted to the classical domain. Quantum Kolmogorov complexity is upper bounded and can be effectively approxi...
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