Span Programs, and-or trees, and effective resistance stacey jeffery shelby kimmel

Span Programs,and-or trees,and effective

resistance

stacey jefferyshelby kimmel

Part I: Span Programs

Part II: and-or trees

• Span Programs• Span Program for or• Span Program for st-connectivity

• and-or trees• average choice complexity• and-or trees and st-connectivity• winning a game tree

Part I:Span Programs

Quantum Query Complexity

Span Programs

Span Programs

Span Programs

REJECT

ED

ACCEPTED

Span Programs and Quantum Algorithms

Example: OR

Span Program for ST-Connectivity

Span Program for ST-Connectivity

Span Program for ST-Connectivity

Span Program for ST-Connectivity

Span Program for ST-Connectivity

Span Program for ST-Connectivity

Span Program for ST-Connectivity

Span Program for ST-Connectivity

Span Program for ST-Connectivity

Part II: and-or Trees

AND-OR Trees

AND-OR Trees

AND-OR Trees

Two-Player Game

Two-Player Game

Two-Player Game

Two-Player Game

Two-Player Game

Two-Player Game

Fault Complexity

Fault Complexity

Fault Complexity

Average Choice Complexity

Criticality

Average Choice Complexity

Formulas and Connectivity

Formulas and Connectivity

Formulas and Connectivity

And-or Trees and st-connectivity

Span Program for AND-OR Trees

Span Program for AND-OR Trees

Span Program for AND-OR Trees

Span Program for AND-OR Trees

Span Program for AND-OR Trees

Winning a Game

future directions

Span Programs for st-Connectivity

Bedankt!