A blockwise matrix-sensing measurement design recovers low-rank quantum channels and Lindbladians with near-optimal sample counts and large computational speedups.
Semidefinite programs for completely bounded norms
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abstract
The completely bounded trace and spectral norms in finite dimensions are shown to be expressible by semidefinite programs. This provides an efficient method by which these norms may be both calculated and verified, and gives alternate proofs of some known facts about them.
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A Unified Blockwise Measurement Design for Learning Quantum Channels and Lindbladians via Low-Rank Matrix Sensing
A blockwise matrix-sensing measurement design recovers low-rank quantum channels and Lindbladians with near-optimal sample counts and large computational speedups.