Distributed Quantum Computing Using the most precise description of - PowerPoint PPT Presentation

Jan 16, 2023 •640 likes •969 views

Distributed Quantum Computing Using the most precise description of our world to solve some of the hardest problems by Matthias Egli Based on the paper Distributed Quantum Computing by Harry Buhrman and Hein Rhrig These slides are just

Distributed Quantum Computing Using the most precise description of our world to solve some of the hardest problems by Matthias Egli Based on the paper „Distributed Quantum Computing“ by Harry Buhrman and Hein Röhrig
These slides are just an addition to the math shown on the blackboard
Motivation
Communication Complexity n Alice Bob
Communication Complexity ? Alice Bob
Communication Complexity Classical Computer Quantum Computer Disjointness n Equality (Promise) n log(n)
Speedup with Quantum Computers Classical Computer Quantum Computer Factorization Search n Deutsch-Jozsa n 1
The qubit Superposition Quantum Gate Entanglement Basics
Deutsch-Josza Algorithm Promise: Function is constant or balanced
Deutsch-Josza Algorithm n Classcial Computer Classical randomized Quantum Computer 2 2 1 1 n n Log(n) 1
Communication
Communication Qubit Alice Bob
Communication Entanglement Communication Types
Communication Classical bits with EPR Pairs Alice Bob
Communication Qubit with shared EPR Pairs Alice Bob Communication Types
Deutsch-Jozsa Communication
Alice Bob X: 00101100 Y: 00101100 Deutsch-Josza Communication
Alice Bob X = Y ? Y: 00101100 X: 00101100 Deutsch-Josza Communication
n Alice Bob X = Y ? X: 00101100 Y: 00101100 Deutsch-Josza Communication
? Alice Bob X = Y ? X: 00101100 Y: 00101100 Deutsch-Josza Communication
Alice Bob X = Y ? X: 00101100 Y: 00101100 Promise: Hamming Distance = n/2 or 0 Deutsch-Josza Communication
XOR Alice Bob X = Y ? X: 00101100 Y: 00101100 Promise: Hamming Distance = n/2 or 0 Deutsch-Josza Communication
Alice Bob X = Y ? X: 00101100 Y: 00101100 Promise: Hamming Distance = n/2 or 0 Deutsch-Josza Communication
Alice
Alice log(n)+1 Bob
Bob
Bob
Bob Deutsch-Jozsa Algorithm
What else is possible? • Leader Election • Disjointness • […]
Sources Caltech Introduction to Quantum Computing • http://www.theory.caltech.edu/people/preskill/ph229/notes/chap1.pdf Distributed Quantum Computing • Harry Buhrmann and Hein Röhrig Can quantum mechanics help distributed computing? • Anne Broadbent and Alain Tapp Distributed Quantum Computing: A New Frontier in Distributed Systems • or Science Fiction? Vasil S. Denchev and Gopal Pandurangan
Questions?

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