High-dimensional quantum communication

Tristan Bernhard Horst Tentrup

Research output: ThesisPhD Thesis - Research UT, graduation UTAcademic

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Abstract

In this thesis, Quantum Key Distribution and quantum communication methods based on high-dimensional spatial coding of light are developed. Their security is based on the fundamental quantum nature of light and profits from the highdimensional Hilbert spaces offered intrinsically by imaging optics. An overview of classical information theory and quantum information is given to introduce the field of quantum cryptography. The advantages of larger dimensional alphabets and the security of the standard two-bases BB84 protocol is shown. The spatial states used for encoding are introduced. An analytic expression for the upper bound on the mutual information for these states is derived, including multiphoton states, detector noise and beam broadening. High-dimensional encoding of single photons is experimentally realized, reaching 10.5 bit per received photon. The dependence of the mutual information on the number of detector pixels is discussed and the experimental values are compared with the theoretical upper bound. It was shown that a standard error-correcting LDPC code is sufficient to achieve practically error-free communication. By adding a second mutually unbiased basis, a large-alphabet QKD system is experimentally realized and characterized. The security of this BB84-like protocol is analyzed in terms of intercept-resend and collective attacks. The key rate after postprocessing is analyzed under realistic circumstances, including finite key length. Finally, a new quantum communication method is demonstrated, which is based on encoding information into wavefronts decomposed over guided modes of a multimode fiber. At the end a step back is made and the similarities and differences of several quantum authentication and quantum cryptography schemes as well as Quantum Data Locking are discussed. This involves comparison of the characteristics of the classical channel, the quantum channel and the necessary dimension of the Hilbert space.
Original languageEnglish
Awarding Institution
  • University of Twente
Supervisors/Advisors
  • Pinkse, Pepijn, Supervisor
Award date20 Jul 2018
Place of PublicationEnschede
Publisher
Print ISBNs978-90-365-4588-4
DOIs
Publication statusPublished - 20 Jul 2018

Fingerprint

quantum communication
quantum cryptography
coding
alphabets
Hilbert space
communication
error correcting codes
information theory
theses
detectors
photons
attack
locking
pixels
optics
fibers

Cite this

Tentrup, T. B. H. (2018). High-dimensional quantum communication. Enschede: University of Twente. https://doi.org/10.3990/1.9789036545884
Tentrup, Tristan Bernhard Horst. / High-dimensional quantum communication. Enschede : University of Twente, 2018. 117 p.
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Tentrup, TBH 2018, 'High-dimensional quantum communication', University of Twente, Enschede. https://doi.org/10.3990/1.9789036545884

High-dimensional quantum communication. / Tentrup, Tristan Bernhard Horst.

Enschede : University of Twente, 2018. 117 p.

Research output: ThesisPhD Thesis - Research UT, graduation UTAcademic

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AB - In this thesis, Quantum Key Distribution and quantum communication methods based on high-dimensional spatial coding of light are developed. Their security is based on the fundamental quantum nature of light and profits from the highdimensional Hilbert spaces offered intrinsically by imaging optics. An overview of classical information theory and quantum information is given to introduce the field of quantum cryptography. The advantages of larger dimensional alphabets and the security of the standard two-bases BB84 protocol is shown. The spatial states used for encoding are introduced. An analytic expression for the upper bound on the mutual information for these states is derived, including multiphoton states, detector noise and beam broadening. High-dimensional encoding of single photons is experimentally realized, reaching 10.5 bit per received photon. The dependence of the mutual information on the number of detector pixels is discussed and the experimental values are compared with the theoretical upper bound. It was shown that a standard error-correcting LDPC code is sufficient to achieve practically error-free communication. By adding a second mutually unbiased basis, a large-alphabet QKD system is experimentally realized and characterized. The security of this BB84-like protocol is analyzed in terms of intercept-resend and collective attacks. The key rate after postprocessing is analyzed under realistic circumstances, including finite key length. Finally, a new quantum communication method is demonstrated, which is based on encoding information into wavefronts decomposed over guided modes of a multimode fiber. At the end a step back is made and the similarities and differences of several quantum authentication and quantum cryptography schemes as well as Quantum Data Locking are discussed. This involves comparison of the characteristics of the classical channel, the quantum channel and the necessary dimension of the Hilbert space.

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Tentrup TBH. High-dimensional quantum communication. Enschede: University of Twente, 2018. 117 p. https://doi.org/10.3990/1.9789036545884