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Linear Matrix Inequalities (LMIs)

1 vote

Quantum inspired matrix inequality

Assume we work with the operator 2-norm. We have $$\|A\|_2^2 = \sup_{\|x\|=1} \|Ax\|_2^2=\sup_{\|x\|=1} \sum_{j=1}^{m}(\sum_{i=1}^{n}a_{ji}x_i)^2.$$ Let $I_t=\{i^t_{1}, \dots i^t_{p(t)}\}$ and $J_t=\{ …
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