Sampling algorithm - PowerPoint PPT Presentation

The Monte Carlo method

The Monte Carlo method. (1,1). (-1,1). (0,0). 1. (-1,-1). (1,-1). 1 If X 2 +Y 2 1 0 o/w. Z=. (X,Y) is a point chosen uniformly at random in a 2 2 square centered at the origin (0,0). P(Z=1)=/4.

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The Computational Complexity of Linear Optics

The Computational Complexity of Linear Optics. vs. Scott Aaronson (MIT) Joint work with Alex Arkhipov. In 1994, something big happened in the foundations of computer science, whose meaning is still debated today…. Why exactly was Shor’s algorithm important?

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