32 citations · 57 across the 5 of their papers we have counts for
6 papers
Dynamical Quantum Tomography
Michael Kech
We consider quantum state tomography with measurement procedures of the following type: First, we subject the quantum state we aim to identify to a know time evolution for a desire…
Efficient Pure State Quantum Tomography from Five Orthonormal Bases
Claudio Carmeli, Teiko Heinosaari, Michael Kech +2
For any finite dimensional Hilbert space, we construct explicitly five orthonormal bases such that the corresponding measurements allow for efficient tomography of an arbitrary pur…
Optimal Injectivity Conditions for Bilinear Inverse Problems with Applications to Identifiability of Deconvolution Problems
Michael Kech, Felix Krahmer
We study identifiability for bilinear inverse problems under sparsity and subspace constraints. We show that, up to a global scaling ambiguity, almost all such maps are injective o…
Explicit Frames for Deterministic Phase Retrieval via PhaseLift
Michael Kech
We explicitly give a frame of cardinality such that every signal in can be recovered up to a phase from its associated intensity measurements via the PhaseLif…
Constrained Quantum Tomography of Semi-Algebraic Sets with Applications to Low-Rank Matrix Recovery
Michael Kech, Michael M. Wolf
We analyze quantum state tomography in scenarios where measurements and states are both constrained. States are assumed to live in a semi-algebraic subset of state space and measur…
The Role of Topology in Quantum Tomography
Michael Kech, Péter Vrana, Michael Wolf
We investigate quantum tomography in scenarios where prior information restricts the state space to a smooth manifold of lower dimensionality. By considering stability we provide a…