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Minimax Quantum State Tomography in a Known Trace-Distance Ball

Li, Yonglong
arXiv (All) · Papers
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information-theoryquantum-physics
We study quantum state tomography when the unknown state lies in a trace-distance ball of radius $R$ around a known reference state $ρ$. For arbitrary collective measurements, we determine the minimax expected risk and confidence radius up to universal constants, uniformly over the dimension, center
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