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Quantum Computation

Nipun Kwatra, Dhruv Kumar Mahajan, Sumit Jain, Vinay Gupta¹
Supervisor: Prof. Sandeep Sen
Department of Computer Science and Engineering,
IIT Delhi.

Date: $II^{nd}$ Semester 2002-03

Independent Study, CS310S

Contents
Introduction
Photon Polarisation
- The Experiment
- The Explanation
Basics of Quantum Computation
Quantum Cryptography
Transformations on a single Qubit
- Some Important Properties
- Some Basic Transformations
Multiple Qubits
- Measurement
- Transformations
  - Walsh-Hadamard Transformation
  - No Cloning
EPR Paradox
Dense Coding and Teleportation
Quantum Interference
- Empirical Verification
- Explanation
Quantum Gates
- Quantum Gate Arrays
- Modified Deutsch-Jozsa Problem (MDJP)
Quantum Fourier Transforms
Grover's Search Algorithm
Shor's Factoring Algorithm
- Finding Order of an element
Simon's Problem.
Acknowledgements
Properties of tensor products
Bibliography
About this document ...

Nipun Kwatra 2004-02-04