Single plane SIC-POVM tomography of double slit qubits

Edwin C. Chaparro Sogamoso, Daniela Angulo, K. M. Fonseca-Romero

Jianying Du

Zhihao Bian, Jian Li, Qin, Hao +2 more

Symmetric informationally complete positive operator-valued measurement (SIC-POVM) is one important class of quantum measurement which is crucial for various quantum information processing tasks. SIC-POVMs have the advantage of providing an unbiased estimator for quantum states with the minimal number of outcomes needed for full tomography. We present an experimental approach on a photonic quantum walk which can be used to implement SIC-POVMs on a single-qbubit. The projection measurements of single-photons' positions correspond to elements of SIC-POVM on the polarization of single-photons.

Naser Karimi, Marziyeh Yahyavi

Andrei-Emanuel Dragomir, Radu Ionicioiu

Reconstructing the state of a quantum system, called quantum state tomography, is an essential task in quantum technologies.Standard methods are inefficient, as they scale exponentially with the number of qubits.Better scaling methods, such as SIC-POVM tomography, are not yet widespread due to their measurement complexity.As such, there is an urgent need to find efficient and compact devices for performing tomography of photonic states.Here we present simulations of photonic devices implementing SIC-POVM tomography in photonic chips.We obtain fidelities F = 0.8452 (for qubits) and F = 0.7609 (for qutrits).Our results show that we can design efficient and compact SIC-POVM tomography modules for integrated-photonics quantum chips.Since integrated photonics is a major quantum technology platform, we expect our results to be instrumental in the future development of compact, costeffective quantum devices.Applications include quantum communications, quantum computing, quantum sensing and quantum imaging.

Naser Karimi, Marziyeh Yahyavi