| Autor: |
Abgaryan, Vahagn, Khvedelidze, Arsen, Rogojin, Ilya |
| Rok vydání: |
2021 |
| Předmět: |
|
| Zdroj: |
Lecture Notes in Computer Science, vol 12563 (2021) |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1007/978-3-030-66471-8_20 |
| Popis: |
In this report we are aiming at introducing a global measure of non-classicality of the state space of $N$-level quantum systems and estimating it in the limit of large $N$. For this purpose we employ the Wigner function negativity as a non-classicality criteria. Thus, the specific volume of the support of negative values of Wigner function is treated as a measure of non-classicality of an individual state. Assuming that the states of an $N$-level quantum system are distributed by Hilbert-Schmidt measure (Hilbert-Schmidt ensemble), we define the global measure as the average non-classicality of the individual states over the Hilbert-Schmidt ensemble. We present the numerical estimate of this quantity as a result of random generation of states, and prove a proposition claiming its exact value in the limit of $N\to \infty$ |
| Databáze: |
arXiv |
| Externí odkaz: |
|
