Quantum Tomography From Few Full-Rank Observables

Abstract

We establish that the PhaseLift algorithm recovers pure states from a constant number of full-rank observables with high probability.

References in corpus (3)

• Determination of all pure quantum states from a minimal number of observables
• Solving Quadratic Equations via PhaseLift when There Are About As Many Equations As Unknowns
• Stable optimizationless recovery from phaseless linear measurements

Cited by in corpus (10)

• Sample-optimal tomography of quantum states
• Faster quantum and classical SDP approximations for quadratic binary optimization
• Guaranteed recovery of quantum processes from few measurements
• Determination of all pure quantum states from a minimal number of observables
• Quantum State Tomography for Matrix Product Density Operators
• Improving compressed sensing with the diamond norm
• Fast and robust quantum state tomography from few basis measurements
• Rapid characterisation of linear-optical networks via PhaseLift
• Toward Instance-Optimal State Certification With Incoherent Measurements
• Sample optimal Quantum identity testing via Pauli Measurements