Reconstruction of multi-photon states in linear optical networks using only two detectors

Tudor-Alexandru Isdraila^1*, Jun-Yi Wu^1,2

¹Department Of Physics and Center for Advanced Quantum Computing, Tamkang University, New Taipei City, Taiwan
²Physics Division, National Center for Theoretical Sciences, Taipei, Taiwan

* Presenter:Tudor-Alexandru Isdraila, email:tisdraila@mail.tku.edu.tw

Boson sampling systems are, for over a decade now, one of the most active topics in quantum information research. The core of the problem is represented by the non-linear nature of photon bunching effects coupled with the #P-hard problem to compute the permanent of the transformation matrix. Our focus in such boson sampling systems is to lower the overall number of detectors needed for tomography via the evaluation of the expectation values <Λ_k,l>=kZ^l> of an N-photon, prime number M-mode input system. We successfully recover the expectation values with just 2 bucket photon-number-resolving (PNR) detectors, rather than M PNR detectors.

Keywords: Boson Sampling, Linear Optical Networks, Quantum Tomography