Volume 96, Number 6, December 2011
|Number of page(s)||6|
|Published online||30 November 2011|
“Commutator formalism” for pairs correlated through Schmidt decomposition as used in Quantum Information
Institut des NanoSciences de Paris, CNRS, Université Pierre et Marie Curie - 4 place Jussieu, Paris, France, EU
Accepted: 24 October 2011
To easily calculate statistical properties of pairs correlated through Schmidt decomposition, as commonly used in Quantum Information, we propose a “commutator formalism” for these single-index pairs, somewhat simpler than the one we previously developed for double-index Wannier excitons. We use it here to get the pair number threshold for bosonic behavior of N pairs through the requirement that their number operator mean value must stay close to N. While the main term of this mean value is controlled by the second moment of the Schmidt distribution, so that to increase this threshold, we must increase the Schmidt number, higher momenta appearing at higher orders lead to choosing a distribution as flat as possible.
PACS: 03.65.Ud – Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.) / 03.65.Ta – Foundations of quantum mechanics; measurement theory / 03.67.Mn – Entanglement measures, witnesses, and other characterizations
© EPLA, 2011
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.