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On the emergent relative distancebetween quantum systems
KTH, School of Engineering Sciences (SCI), Physics.
2022 (English)Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

In an emergent spacetime framework where relative distances between quantum systemsare determined by the mutual information between the systems, an entangled pairmust be shown to have a non-zero distance even though its mutual information is maximalby virtue of being maximally entangled. This report shows that in fact an entangledpair is only maximally entangled in some degrees of freedom such as spin, and when oneintroduces other quantum degrees of freedom the mutual information is no longer maximaland so a non-zero distance can be recovered. In light of a conjectured relationshipbetween Einstein–Rosen Bridges (ER) and entangled Einstein–Podolsky–Rosen (EPR)pairs called ER = EPR, what appeared as a wormhole forming between the two quantumsystems was an artefact of our ignorance of all quantum information associated with thesystems.

Abstract [sv]

I ett ramverk för emergent rumstid där relativa avstånd mellan kvantsystem bestäms av ömsesidig information mellan systemen måste ett sammanflätat par påvisas ha ett nollskiltavstånd även fast dess ömsesidiga information är maximal eftersom de är maximaltsammanflätade. Detta examensarbete visar att ett sammanflätat par är endast maximaltsammanflätade i vissa frihetsgrader som spinn, och när man introducerar andra frihetsgrader så är ömsesidiga informationen inte längre maximal och således kan man få ettnollskilt avstånd. Med hänsyn till ett förmodat förhållande mellan Einstein–Rosen bryggor(ER) och sammanflätade Einstein–Podolsky–Rosen par som benämns ER = EPR,det som framstår vara ett maskhål mellan två kvantsystem var således ett artefakt av vår ignorans för all kvantinformation associerat med systemen.

Place, publisher, year, edition, pages
2022.
Series
TRITA-SCI-GRU ; 2022:307
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-322625OAI: oai:DiVA.org:kth-322625DiVA, id: diva2:1721656
Subject / course
Physics
Educational program
Master of Science - Engineeering Physics
Supervisors
Examiners
Available from: 2022-12-22 Created: 2022-12-22 Last updated: 2022-12-22Bibliographically approved

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Citation style
  • apa
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