Bayesian methods for distributed estimation in cooperative networks
Records, range, and longest increasing subsequences of random walks
Self-similarity and the transition from finite to infinite measures in dynamical s...
| Full text | |
| Author(s): |
Shchesnovich, Valery S.
Total Authors: 1
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| Document type: | Journal article |
| Source: | SCIENTIFIC REPORTS; v. 7, FEB 16 2017. |
| Web of Science Citations: | 2 |
| Abstract | |
For N indistinguishable bosons or fermions impinged on a M-port Haar-random unitary network the average probability to count n(1), ... n(r) particles in a small number r << N of binned-together output ports takes a Gaussian form as N >> 1. The discovered Gaussian asymptotic law is the well-known asymptotic law for distinguishable particles, governed by a multinomial distribution, modified by the quantum statistics with stronger effect for greater particle density N/M. Furthermore, it is shown that the same Gaussian law is the asymptotic form of the probability to count particles at the output bins of a fixed multiport with the averaging performed over all possible configurations of the particles in the input ports. In the limit N -> infinity, the average counting probability for indistinguishable bosons, fermions, and distinguishable particles differs only at a non-vanishing particle density N/M and only for a singular binning K/M -> 1, where K output ports belong to a single bin. (AU) | |
| FAPESP's process: | 15/23296-8 - Behavior of identical particles in quantum networks and the Boson Sampling |
| Grantee: | Valery Shchesnovich |
| Support Opportunities: | Regular Research Grants |