Sumários

Exercises of sheet 1

9 Março 2020, 18:30 André Souto

Discussion of solutions of exercises of sheet 1.


Operations on registers and power of entanglement

9 Março 2020, 16:30 André Souto

Quantum memories and more than one qubit. 

Formal definition, measurement, partial measurement and unitary operations.
Examples of measurement.
Examples of unitary operations: Hadamard, phase shift, rotations, Pauli gates.
Independent operations on qubits and operations over multiple qubits.
Composition of unitary operations.
Examples: CNot, Controled-U, Tofolli, swap.
The missing operation: copy. Proof why it is not possible to copy arbitrary unknown quantum states.
The Hadamard over n qubits.
Implementing a boolean function quantumly.
The notion of entanglement.
Formal definition via product state.
Examples: The EPR pair, the Bell states, GHZ;
How to create Bell states.
The power of entanglement: Teleportation.


Introduction

2 Março 2020, 18:30 André Souto

Continuation of theoretical lecture necessary to reply to the first sheet of exercises. 


Introduction to quantum computing

2 Março 2020, 16:30 André Souto

Presentation of evaluation rules;

Presentation of the contents of the course;
Bibliography.

Introduction to quantum computation.
Motivation to study quantum computation.
The power of quantum: superposition, entanglement and interference.
The qubit: 
1) The double-split experiment; 
2) Qubit as levels of energy in electrons;
3) Geometric interpretation;
4) Formal definition;
5) Observing qubits - measurements in the computational basis;
Definition of measurement and evolution of quantum states with unitary operations.
Examples of unitary operations. 


No classes

17 Fevereiro 2020, 18:30 André Souto

Due to license of the professor, the class did not happen.