English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT

Released

Journal Article

Entanglement in the full state vector of boson sampling

MPS-Authors
/persons/resource/persons293345

Qiao,  Yulong
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

External Resource
No external resources are shared
Fulltext (restricted access)
There are currently no full texts shared for your IP range.
Fulltext (public)

2210.09915.pdf
(Preprint), 411KB

Supplementary Material (public)
There is no public supplementary material available
Citation

Qiao, Y., Huh, J., & Grossmann, F. (2023). Entanglement in the full state vector of boson sampling. SciPost Physics Core, 15(1): 007. doi:10.21468/SciPostPhys.15.1.007.


Cite as: https://hdl.handle.net/21.11116/0000-000D-AF90-B
Abstract
The full state vector of boson sampling is generated by passing S single photons through beam splitters of M modes. We express the initial Fock state in terms of 2S-1 generalized coherent states, making possible the exact application of the unitary evolution. Due to the favorable polynomial scaling of numerical effort in M, we can investigate Renyi entanglement entropies for moderate particle and huge mode numbers. We find symmetric Page curves with a maximum entropy at equal partition, which is almost independent on Renyi index. Furthermore, the maximum entropy as a function of mode index saturates for M & GE; S2 in the collision-free subspace case. The asymptotic value of the entropy increases linearly with S. In addition, we show that the build-up of the entanglement leads to a cusp in the asymmetric entanglement curve. Maximum entanglement is reached well before the mode population is distributed over the whole system.