A Geometric Journey Toward Genuine Multipartite Entanglement

Songbo Xie

$326.95 $261.21

Hardback

Not in-store but you can order this
How long will it take?

Availability Information

We source books from suppliers in Australia and overseas. For books we don't currently have in stock, the time it takes to get them from our suppliers can vary widely - from a few days to a few months - so we check each book with each supplier to determine the expected time it will take to be supplied to us.

We then advise you accordingly. If the time taken to get any book is too long for you, you can let us know and we will cancel or adjust your order, and refund as required.

To find out the anticipated arrival time for specific items prior to ordering, please contact us by phone or email:

Phone +61 2 9264 3111, or 1800 4 BOOKS (1800 4 26657) if outside Sydney:
option 1 Abbey's Bookshop (Crime, History, Science, Kids & more) • info@abbeys.com.au
option 2 Language Book Centre (ESL & Foreign Languages) • language@abbeys.com.au
option 3 Galaxy Bookshop (Sci-fi, Fantasy, Romance, Graphic Novels) • sf@galaxybooks.com.au

QTY:

English

Springer Nature Switzerland AG
07 November 2025

Information theory; Coding theory & cryptology; Discrete mathematics; Geometry; Quantum physics (quantum mechanics & quantum field theory)

Series: Springer Theses

This thesis proposes a novel measure of quantum entanglement that can be used to characterize the degree of entanglement of three (or more) parties. Entanglement has been studied and used in many ways since Erwin Schrödinger defined and named it in 1935, but quantifiable measures of the degree of entanglement, known as concurrence, have long been limited to two quantum parties (two qubits, for example). Three-qubit states, which are known to be more reliable for teleportation of qubits than two-party entanglement, run into difficult criteria in entanglement-measure theory, and efforts to quantify a measure of genuine multipartite entanglement (GME) for three-qubit states have frustrated quantum theorists for decades. This work explores a novel triangle inequality among three-qubit concurrences and demonstrates that the area of a 3-qubit concurrence triangle provides the first measure of GME for 3-qubit systems. The proposed measure, denoted “entropic fill,” has an intuitive interpretation related to the hypervolume of a simplex describing the relation between any subpart of the system with the rest. Importantly, entropic fill not only gives the first successful measure of GME for 3-party quantum systems, but also can be generalized into higher dimensions, providing a path to quantify quantum entanglement among many parties.

By: Songbo Xie
Imprint: Springer Nature Switzerland AG
Country of Publication: Switzerland
Dimensions: Height: 235mm, Width: 155mm,
ISBN: 9783032001702
ISBN 10: 3032001706
Series: Springer Theses
Pages: 105
Publication Date: 07 November 2025
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

Preliminary: Hilbert Space and Linear Operators.- Review: Bipartite Entanglement.- Breakthrough: Multipartite Entanglement.- Geometric Journey: Multipartite Entanglement.- Concluding Remarks.

Songbo Xie started his academic journey at Shanghai Jiao Tong University in 2013 and obtained his Bachelor of Science degree in Physics in 2017. That same year, he was admitted to the University of Rochester for doctoral studies, receiving his Master of Arts degree in Physics in 2019 and his Doctor of Philosophy degree in Physics in 2024. Throughout his doctoral studies, Songbo Xie focused his research on quantum physics, guided by Professor Joseph H.~Eberly. His research interests include quantum information, quantum computing, quantum many-body systems, quantum simulation, quantum thermodynamics, and the foundations of quantum mechanics. One of his academic achievements during his doctoral studies was the development of an innovative geometric method to quantify ``genuine multipartite entanglement,'' a distinct form of entanglement that extends beyond two-party systems. He employed the hypervolume of geometric simplices in his approach, allowing for a deeper understanding and exploration of the complex physical properties exhibited within quantum many-body systems.

PRIZES to win! PROMOTIONS

A Geometric Journey Toward Genuine Multipartite Entanglement

Songbo Xie

$326.95 $261.21

Hardback

See Also

Contact Abbeys

Contact Galaxy

Contact Language

Contact Us

About ABBEY'S