This lecture is on the basics of quantum computation. We start by looking at qubits and basic single qubit logic gates such as the quantum NOT gate and the Hadamard gate, which makes superpositions. We discuss how logic gates are connected to operators and how these operators need to be unitary, along with how gate order affects operator order and the role of measurement. We use the controlled NOT gate (CNOT) as a first multi-qubit logic gate and then look at how the maximally entangled triplet-plus state can be made using a simple 2-qubit logic circuit consisting of a Hadamard gate and a CNOT gate. We finish off by looking at the idea of universal gate sets, and how all quantum logic can be done with the set of single qubit and CNOT gates alone.
Lecturer: Prof. Adam Micolich
Background: 'The Red Telephone Box' by Robyn Collier, Lake Burragorang, Blue Mountains, NSW, Australia.
3 окт 2024