A Geometric Journey Toward Genuine Multipartite Entanglement
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 en...
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| Format: | Electronisk eBog |
| Sprog: | engelsk |
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Cham :
Springer Nature Switzerland : Imprint: Springer,
2025.
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| Udgivelse: | 1st ed. 2025. |
| Serier: | Springer Theses, Recognizing Outstanding Ph.D. Research,
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| Online adgang: | https://doi.org/10.1007/978-3-032-00171-9 |
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| 100 | 1 | |a Xie, Songbo. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 2 | |a A Geometric Journey Toward Genuine Multipartite Entanglement |h [electronic resource] / |c by Songbo Xie. |
| 250 | |a 1st ed. 2025. | ||
| 264 | 1 | |a Cham : |b Springer Nature Switzerland : |b Imprint: Springer, |c 2025. | |
| 300 | |a 1 online resource (XXIII, 105 p. 26 illus.). |b 23 illus. in color. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
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| 341 | 0 | |b Table of contents navigation |2 onix | |
| 341 | 0 | |b Single logical reading order |2 onix | |
| 341 | 0 | |b Short alternative textual descriptions |2 onix | |
| 341 | 0 | |b Use of color is not sole means of conveying information |2 onix | |
| 341 | 0 | |b Use of high contrast between text and background color |2 onix | |
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| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Springer Theses, Recognizing Outstanding Ph.D. Research, |x 2190-5061 | |
| 505 | 0 | |a Preliminary: Hilbert Space and Linear Operators -- Review: Bipartite Entanglement -- Breakthrough: Multipartite Entanglement -- Geometric Journey: Multipartite Entanglement -- Concluding Remarks. | |
| 520 | |a 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. | ||
| 532 | 8 | |a Accessibility summary: This PDF has been created in accordance with the PDF/UA-1 standard to enhance accessibility, including screen reader support, described non-text content (images, graphs), bookmarks for easy navigation, keyboard-friendly links and forms and searchable, selectable text. We recognize the importance of accessibility, and we welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us at accessibilitysupport@springernature.com. Please note that a more accessible version of this eBook is available as ePub. | |
| 532 | 8 | |a No reading system accessibility options actively disabled | |
| 532 | 8 | |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com | |
| 588 | |a Print version record. | ||
| 650 | 0 | |a Quantum computing. | |
| 650 | 0 | |a Quantum entanglement. | |
| 650 | 0 | |a Coding theory. | |
| 650 | 0 | |a Information theory. | |
| 650 | 0 | |a Convex geometry . | |
| 650 | 0 | |a Discrete geometry. | |
| 650 | 1 | 4 | |a Quantum Information. |
| 650 | 2 | 4 | |a Quantum Correlation and Entanglement. |
| 650 | 2 | 4 | |a Coding and Information Theory. |
| 650 | 2 | 4 | |a Convex and Discrete Geometry. |
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| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783032001702 |
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| 830 | 0 | |a Springer Theses, Recognizing Outstanding Ph.D. Research, |x 2190-5061 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-032-00171-9 |
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| 912 | |a ZDB-2-SXP | ||
| 912 | |a ZDB-2-250 | ||
| 950 | |a Physics and Astronomy (SpringerNature-11651) | ||
| 950 | |a Physics and Astronomy (R0) (SpringerNature-43715) | ||
| 950 | |a Focus Bundle Physics and Astronomy (SpringerNature-85420) | ||