- Published 2011

In this lecture we will consider pure-state entanglement transformation. The setting is as follows: Alice and Bob share a pure state x ∈ XA ⊗ XB, and they would like to transform this state to another pure state y ∈ YA ⊗YB by means of local operations and classical communication. This is possible for some choices of x and y and impossible for others, and what we would like is to have a condition on x and y that tells us precisely when it is possible. Nielsen’s theorem, which we will prove in this lecture, provides such a condition.

@inproceedings{YB2011Lecture1,
title={Lecture 16 : Nielsen ’ s theorem on pure state entanglement transformation},
author={YA ⊗YB},
year={2011}
}