Quantum Information Science I, Part 3

Quantum state equality testing: the swap test

The depolarizing channel

Quantum version of the classical repetition code – three qubit bit flip code

The distributed Deutsch-Jozsa algorithm

Remote Deutsch-Jozsa oracle construction

The distributed Deutsch-Jozsa problem

Review: classical and quantum coding

The Ekert-Chao-Lo entanglement-based QKD protocol

The nine-qubit quantum error correction code

Simulating a single quantum computer with two distributed halves

The parity check matrix H

The role of density matrices in the phase estimation algorithm

The secure BB84 protocol – BB84 in terms of CSS codes

The Shor-Preskill proof of security of QKD: Step 1 – random CSS codes

The Shor-Preskill proof of security of QKD: Step 2 – no quantum computer needed

The three-qubit phase flip error correction code

Three conceptual challenges faced by quantum error correction

What is a noisy quantum state? Introduction to density matrices

A model of distributed quantum computation

A modified distributed Simon's problem with potential for quantum communication speedup

A story of QKD implementations: BB84 vs entanglement-based QKD

Action of unitary transform on density matrices

BB84 QKD: assumptions and real-world issues

BB84 QKD: classical post-processing for noise and privacy amplification

Effect of depolarizing channel on the quantum code