Some Recent Results in Quantum Tomography

Quantum tomography is the process by which a quantum state is reconstructed using measurements on an ensemble of identical quantum states. We present some recent results addressing theoretical and practical problems in quantum tomography. We also consider quantum process tomography, which determines an unknown quantum process. In particular, we discuss the use of graph theory in developing an effective tomography scheme for quantum states represented as unit vectors in a high-dimensional Hilbert space with a sparse structure. This study leads to interesting questions related to Hamming graphs with vertices labeled by binary sequences and Hamming distances as weights between vertices.

No quantum physics background is required for the talk.