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Communication Complexity of Direct Product: New Results by Rahul Jain

Discover the latest insights in communication complexity through direct product applications. Explore faster solutions for k copies and one-way protocols using message compression techniques. This study presents new characterizations and advancements in the two-way case, specifically for set disjointness scenarios. Dive into the research by Rahul Jain from the Centre for Quantum Technologies and Department of Computer Science at the National University of Singapore.

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Communication Complexity of Direct Product: New Results by Rahul Jain

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  1. New Direct Product results in Communication Complexity Rahul Jain Centre for Quantum Technologies and Department of Computer Science National University of Singapore. TexPoint fonts used in EMF. Read the TexPoint manual before you delete this box.: AAAAAAAAAAAAAAAAAAAA

  2. Can we solve k copies faster ? Direct Product Let there be ERROORR!

  3. Our Results Application: Direct product for (First shown by [Klauck 10])

  4. One-Way Case

  5. New Characterization

  6. New Characterization Use message compression of [Braverman, Rao 10] to get a one-way protocol with communication

  7. Message Compression[Braverman, Rao 10]

  8. Direct Product

  9. Two-way case

  10. ApplicationDirect Product for Set Disjointness [Razborov 92] Our result

  11. Questions ? Thanks !

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