This document provides an overview of quantum computation and quantum information. It discusses:

1. The history and future directions of the field, including experimental progress in quantum information processing using systems like trapped ions and superconducting qubits. 

2. Key concepts in quantum computation like quantum bits, quantum gates, quantum circuits, quantum algorithms like Deutsch's algorithm and quantum teleportation. 

3. Applications of quantum algorithms like quantum Fourier transform for order finding, factoring and hidden subgroup problems. 

4. Quantum search algorithms and their ability to provide quadratic speedups over classical algorithms for certain problems. 

5. Challenges in physically realizing quantum computers and requirements for scalable, fault-tolerant quantum computation

Quantum Computation and Quantum Information: Michael A. Nielsen & Isaac L. Chuang PDF

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