Download presentation

Presentation is loading. Please wait.

Published byGiancarlo Love Modified over 2 years ago

1
McKay Graybill

2
They already exist Different models and ideas Quantum Parallelism Measurement is tricky, inherently imprecise

4
Represented by a unitary matrix ◦ Controlled-Not ◦ Controlled-Controlled-Not (Toffoli) ◦ Hadamard

5
Can simulate any combination of gates Example (Steane, 1998): C NOT =

6
“Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer”, 1994 ◦ Inspired by the work of Dan Simon, 1993-1994 Computations are dependent upon physics Finding the period of a function

7
M, a, m ∈ ℤ : M 2 < 2 m < 2M 2 Qubits required: m + ⌈log 2 (M)⌉ f(x) = a x mod M, for all 0 < x < 2 m – 1 ◦ Measure the state to align amplitude function Fourier transform, Euclidean verification, repeat as necessary

8
O(√n) search on unsorted dataset of size n Requires N + 1 qubits, where 2 N ≥ n ◦ Extra qubit is Boolean result of test function P(x) Custom transformation Repeat transformations to increase reading state where P(x) is true

9
Truly Random Number Generation Data Key Distribution and Truly Secure Communication Constraint Satisfaction Problems Simulation of actual physical environments Probably more…

10
Error threshold Scalability Specialized ◦ Math and Physics is still the API Shor’s 2003 Paper

11
Doug Applegate BACON, D., AND VAN DAM, W. 2010. Recent progress in quantum algorithms. Communications of the ACM, Vol. 53, No. 2, 84-93. CHANG, K. 2012. I.B.M. researchers inch toward quantum computer. The New York Times. http://www.nytimes.com/2012/02/28/technology/ibm-inch-closer-on-quantum-computer.html CORLEY, A. 2009. Quantum chip helps crack code. IEEE Spectrum. http://spectrum.ieee.org/computing/hardware/chip-does-part-of-codecracking-quantum-algorithm FEYNMANN, R. P. 1986. Quantum mechanical computers. Foundations of Physics, Vol. 16, No. 6. GROVER, L. K. 1996. A fast, quantum mechanical algorithm for database search. http://arXiv.org/quant- ph/9605043v3. GUIZZO, E. 2010. Loser: D-Wave does not quantum compute. IEEE Spectrum. http://spectrum.ieee.org/computing/hardware/loser-dwave-does-not-quantum-compute RIEFFEL, E., AND POLAK, W. 2000. An introduction to quantum computing for non-physicists. ACM Computing Surveys Volume 32 Issue 3, 300-335.SHOR, P. W. 1995. Polynomial-time Algorithms for Prime-factorization and Discrete Logarithms on a Quantum Computer. http://arXiv.org/quant-ph/9508027v2. SHOR, P. 1996. Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer. http://arXiv.org/quant-ph/9508027v2. SHOR, P. 2003. Why haven’t more quantum algorithms been found? Journal of the ACM Vol. 50 Issue 1, 87-90. STEANE, A. 1998. Quantum computing. Rep. Prog. Phys.Vol. 61, No. 2, 171. VAN METER, R., AND OSKIN, M. 2006. Architectural implications on quantum computing technologies. ACM Journal on Emerging Technology in Computing Systems Vol. 2 No. 1. 31-63.

Similar presentations

OK

Cove: A Practical Quantum Computer Programming Framework Matt Purkeypile Doctorate of Computer Science Dissertation Defense June 26, 2009.

Cove: A Practical Quantum Computer Programming Framework Matt Purkeypile Doctorate of Computer Science Dissertation Defense June 26, 2009.

© 2018 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on muhammad ali jinnah Ppt on question tags rules Ppt on trans-siberian railway stops Download ppt on cloud computing technology Ppt on credit default swaps history Mrna display ppt online Download ppt on wastewater management Ppt on economy of bangladesh Ppt on current trends in hrm Ppt on indian construction industry