Quantum tomography

An important task in quantum physics is to fully learn a quantum state or quantum process from measurements. This is called quantum state or quantum process tomography, respectively.

Most quantum state or processes of interest are compressible: They can be described by matrices of low rank. Hence, low-rank matrix reconstruction from compressed sensing can be used to reduce the number of measurements.

Quantum states

Ongoing projects:

  • Self-certification, see here

  • Basis measurements

Quantum processes

Ongoing projects:

  • Measurements based on Clifford group operations in for natural measurements, see arXiv:1701.03135

  • Self-certification, see here

  • Efficient algorithms