‘Complementarity’ in paraxial and non-paraxial optical beams

Abhinash Kumar Roy, Nitish Kumar Chandra, Soumik Mahanti, Prasanta K. Panigrahi*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference proceeding contributionpeer-review

Abstract

Establishing the correspondence of two dimensional paraxial and three dimensional non-paraxial optical beams with the qubit and qutrit systems respectively, we derive a complementary relation between Hilbert-Schmidt coherence, generalized predictability and linear entropy. The linear entropy, a measure of mixedness is shown to saturate the complementarity relation for mixed bi-partite states. For pure two qubit and qutrit systems, it quantifies the global entanglement and reduces the comple-mentarity relation to the triality relation between coherence, predictability and entanglement. We analyze these relations in wedge-product formalism in order to investigate the innate geometry of the complex vector space. The derived complementary relations offer insights into our ability to manipulate and utilize quantum properties for practical advancements.

Original languageEnglish
Title of host publicationCOMSNETS 2024
Subtitle of host publication16th International Conference on COMmunication Systems and NETworkS
Place of PublicationBengaluru, India
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
Pages1028-1033
Number of pages6
ISBN (Electronic)9798350383119
DOIs
Publication statusPublished - 2024
Event16th International Conference on COMmunication Systems and NETworkS, COMSNETS 2024 - Bengaluru, India
Duration: 3 Jan 20247 Jan 2024

Publication series

NameInternational Conference on COMmunication Systems and NETworkS
ISSN (Print)2155-2509

Conference

Conference16th International Conference on COMmunication Systems and NETworkS, COMSNETS 2024
Country/TerritoryIndia
CityBengaluru
Period3/01/247/01/24

Keywords

  • Classical entanglement
  • Complementarity relations
  • Non-paraxial Beams
  • Paraxial Beams

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