Sampling of partially distinguishable bosons and the relation to the multidimensional permanent

By M. Tichy. 2014

134 citations recorded by the source corpus.

The collective interference of partially distinguishable bosons in multi-mode networks is studied via double-sided Feynman diagrams. The probability for many-body scattering events becomes a multi-dimensional tensor-permanent, which interpolates between distinguishable particles and identical bosons, and easily extends to mixed initial states. The permanent of the distinguishability matrix, composed of all mutual scalar products of the single-particle mode-functions, emerges as a natural measure for the degree of interference: It yields a bound on the difference between event probabilities for partially distinguishable bosons and the idealized species, and exactly quantifies the degree of bosonic bunching.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/cfe065acf3f5e7a2b460ed3804117d9e0ea51d03

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Artificial Intelligence

1. Ashley Montanaro
2. Anthony Laing
3. Stefan Woerner
4. Daniel J. Egger

In Atomic and Molecular Physics, and Optics

1. Ashley Montanaro
2. Anthony Laing

Citations in the corpus

• Classical boson sampling algorithms with superior performance to near-term experiments (2017, background): “In addition to the problems caused by photon loss, it is also necessary to build reconfigurable linear optical circuits capable of performing high precision transformations on modes [48–50], to generate highly indistinguishable photons [51, 52] and to limit detector noise and higher order photon num”