Characterization of tomographically faithful states in terms of their Wigner function

Abstract

A bipartite quantum state is tomographically faithful when it can be used as an input of a quantum operation acting on one of the two quantum systems, such that the joint output state carries a complete information about the operation itself. Tomographically faithful states are a necessary ingredient for tomography of quantum operations and for complete quantum calibration of measuring apparatuses. In this paper we provide a complete classification of such states for continuous variables in terms of the Wigner function of the state. For two-mode Gaussian states faithfulness simply resorts to correlation between the modes.

9 pages. IOPAMS style. Some improvements

References in corpus (2)

• Experimental evidence of high-resolution ghost imaging and ghost diffraction with classical thermal light
• Imprinting a complete information about a quantum channel on its output state

Cited by in corpus (3)

• Gaussian quantum discord
• Frame transforms, star products and quantum mechanics on phase space
• Mixed-state certification of quantum capacities for noisy communication channels