A note on Bianchi-Donà's proof to the variance formula of von Neumann entropy

06/25/2019
by   Lu Wei, et al.
0

Bianchi and Donà [1] have recently reported a proof to the variance formula of von Neumann entropy, which was conjectured in [2] and firstly proved in [3]. The purpose of this short note is to show that, despite having a different starting point, the subsequent calculations (omitted in [1]) leading to the result are essentially the same as in [3].

READ FULL TEXT

page 1

page 2

page 3

page 4

research
06/24/2020

Exact variance of von Neumann entanglement entropy over the Bures-Hall measure

The Bures-Hall distance metric between quantum states is a unique measur...
research
08/12/2020

A short proof of the non-biplanarity of K_9

Battle, Harary, and Kodama (1962) and independently Tutte (1963) proved ...
research
11/29/2017

Detailed proof of Nazarov's inequality

The purpose of this note is to provide a detailed proof of Nazarov's ine...
research
04/02/2018

A Note on Kaldi's PLDA Implementation

Some explanations to Kaldi's PLDA implementation to make formula derivat...
research
01/05/2018

Estimation in the Spiked Wigner Model: A Short Proof of the Replica Formula

We consider the problem of estimating the rank-one perturbation of a Wig...
research
12/22/2020

Towards a short proof of the Fulek–Kynčl criterion for modulo 2 embeddability of graphs to surfaces

A connected graph K has a modulo 2 embedding to the sphere with g handle...
research
08/27/2017

Strassen's 2x2 matrix multiplication algorithm: A conceptual perspective

Despite its importance, all proofs of the correctness of Strassen's famo...

Please sign up or login with your details

Forgot password? Click here to reset