Algorithms Copyright c 2006 S. Dasgupta, C. H. Papadimitriou, and U. V. Vazirani July 18, 2006 2 Algorithms Contents Preface 0 Prologue 0.1 Books and algorithms 0.2 Enter…

Divide & Conquer Design and Analysis of Algorithms (Lecture 14) Divide And Conquer Fall-29 National University Of Computer & Emerging Sciences Divide &…

Decision Problems Observation: Many polynomial algorithms. Questions: Can we solve all problems in polynomial time? Answer: No, absolutely not. Definition: The class of…

Slide 1Erich Friedman Stetson University October 2, 2002 Spiral Galaxies Puzzles are NP-complete Slide 2 Spiral Galaxies Puzzles puzzles consist of grid of squares and some…

Slide 1BQP PSPACE NP P PostBQP Quantum Complexity and Fundamental Physics Scott Aaronson MIT Slide 2 RESOLVED: That the results of quantum computing research can deepen our…

Slide 1The Power of Quantum Advice Scott Aaronson Andrew Drucker Slide 2 Freeze-Dried Computation Motivating Question: How much useful computational work can one store in…

Slide 1SPEED LIMIT n Quantum Lower Bounds Scott Aaronson (UC Berkeley) August 29, 2002 Slide 2 Andris Ambainis I Cant Believe Its Not Andris TM Slide 3 Many of the deepest…

Slide 1NP-complete Problems and Physical Reality Scott Aaronson Institute for Advanced Study Slide 2 What could we do if we could solve NP-complete problems? Proof of Riemann…

Slide 1NP-complete Problems and Physical Reality Scott Aaronson UC Berkeley IAS Slide 2 Problem: Given a graph, is it connected? Each particular graph is an instance The…

Slide 1An Invitation to Quantum Complexity Theory The Study of What We Cant Do With Computers We Dont Have Scott Aaronson (MIT) QIP08, New Delhi BQP NP- complete SZK Slide…