Two-detector reconstruction of multiphoton states in linear optical networks

Abstract

We propose a method for partial state reconstruction of multiphoton states in multimode ($N$-photon $M$-mode) linear optical networks (LONs) employing only two bucket photon-number-resolving (PNR) detectors. The reconstructed Heisenberg-Weyl-reduced density matrix captures quantum coherence and symmetry with respect to Heisenberg-Weyl operators. Employing deterministic quantum computing with one qubit (DQC1) circuits, we reduce the detector requirement from $M$ to $2$, while the requirement on measurement configurations is retained $2M^3-2M$. To ensure physicality, maximum likelihood estimation (MLE) is incorporated into the DQC1 reconstruction process, with numerical simulations demonstrating the efficiency of our approach and its robustness against interferometer noises. This method offers a resource-efficient solution for state characterization in large-scale LONs to advance photonic quantum technologies.

5+10 pages, 5 figures. A simpler method is provided in the new version

References in corpus (12)

• Quantum computational advantage using photons
• Optical Quantum Computing
• Resource-efficient linear optical quantum computation
• Phase-Programmable Gaussian Boson Sampling Using Stimulated Squeezed Light
• Manipulating multi-photon entanglement in waveguide quantum circuits
• Efficient generation of high-dimensional entanglement through multi-path downconversion
• 20-Mode Universal Quantum Photonic Processor
• Nonlocal photonic quantum gates over 7.0 km
• Benchmarking integrated photonic architectures
• Characterizing four-body indistinguishability via symmetries
• Adaptive State Fidelity Estimation for Higher Dimensional Bipartite Entanglement
• Generation and evaluation of multipartite entanglement with multi-rail encoding in linear optics networks