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The new hypercontractive inequality. Main ... For simplicity, let's see how to get the n=2 case. ... For simplicity, let's prove the classical k=1 case ...

Electromagnetically Induced Transparency (EIT) type ... Resonant population transfer in a three-level L-system induced by three electromagnetic fields ...

arXiv:quant-ph/0702129. and. arXiv:0709.0911. 2. Motivating. problems. 3. Entropies. Entropy of a mixed state. von ... R nyi: H2( ) = -log (Tr( 2)) = -log ...

The Parallelogram Law. For any two vectors a,b Rd, Or equivalently, a ... The Parallelogram Law. This was for the 2 norm. What happens in the ... Parallelogram ...

Expander Graphs an array of definitions. ... Remains a lossless expander even if adversary removes (0.7 D) edges from each vertex. ...

Lower bounds for k 3 parties in restricted models ... Run P d times on x11y, ..., x1dy. i-th output bit: If some x1h hits i, use output of P ...

Hybrid Argument. Therefore, and. According to the definition of D' ... The theorem is proven using the hybrid technique. Amplifying the Stretch Function ...

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