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Results tagged with measurement
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user 16087
For questions related to measurement and its effects as relevant to quantum computation and quantum information.
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Does the von Neumann entropy equal the smallest accessible Shannon entropy?
Given a POVM measurement $\{\Pi_j\}$, this maps a state $\rho$ into a vector of probabilities $p_j^\Pi=\operatorname{tr}(\Pi_j \rho)$, and we can associate a Shannon entropy $H(p^\Pi)$ to any such probability … I'm not even sure this is actually true, as for a maximally mixed state I think this would mean that the Shannon entropy is equal regardless of the measurement basis. …
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