Sign up or log in for free. It helps support the project and unlocks personalized paper recommendations and new AI tools. .
If a quantum system of Hilbert space dimension $mn$ is in a random pure state, the average entropy of a subsystem of dimension $m\leq n$ is conjectured to be $S_{m,n}=\sum_{k=n+1}^{mn}\frac{1}{k}-\frac{m-1}{2n}$ and is shown to be $\simeq \ln m - \frac{m}{2n}$ for $1\ll m\leq n$. Thus there is less than one-half unit of information, on average, in the smaller subsystem of a total system in a random pure state.
Login to see paper summary
| Action | Title | Date | Authors |
|---|---|---|---|
| Integral equations and their applications | 2008-04-01 | Witold Pogorzelski |