MIT

Proof of the lower-bound on the distributed Deutsch-Jozsa algorithm – part 1

The Ekert-Chao-Lo entanglement-based QKD protocol

Proof of the lower-bound on the distributed Deutsch-Jozsa algorithm – part 2

The nine-qubit quantum error correction code

Quantum channels – simplified: the dephasing channel

The parity check matrix H

Quantum codes – definition and review

The role of density matrices in the phase estimation algorithm

Quantum error correction criteria

The secure BB84 protocol – BB84 in terms of CSS codes

Quantum fingerprinting protocol

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

Quantum state equality testing: the swap test

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

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

The three-qubit phase flip error correction code

Remote Deutsch-Jozsa oracle construction

Three conceptual challenges faced by quantum error correction

Review: classical and quantum coding

What is a noisy quantum state? Introduction to density matrices

Simulating a single quantum computer with two distributed halves

A trivial quantum stabilizer code

Action of unitary transform on density matrices

Alternate formula for the projector into the stabilizer subspace

Any stabilizer code can be mapped to the trivial code: towards the Clifford group