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It is well known that the quantum Zeno effect can protect specific quantum states from decoherence by using projective measurements.
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For any linear operator A A with singular values s i ( A ) s_{i}(A) (eigenvalues of A † A \sqrt{A^{\dagger}A} ), ‖ A ‖ ≡ sup i s i ( A ) \|A\|\equiv\sup_{i}s_{i}(A) and ‖ A ‖ 1 ≡ Tr A † A = ∑ i s i ( A ) \|A\|_{1}\equiv\mathrm{Tr}\sqrt{A^{\dagger}A}=\sum_{i}s_{i}(A) are the standard sup-operator norm and trace norm, respectively
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G. Paz-Silva et al
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J. Dominy, G. A. Paz-Silva, A. T. Rezakhani, and D. A. Lidar, In preparation
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