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Increased certification of semi-device independent random numbers using many inputs and more post-processing
Stockholm University, Faculty of Science, Department of Physics. National Quantum Information Centre in Gdańsk, Poland.
Stockholm University, Faculty of Science, Department of Physics.ORCID iD: 0000-0002-3031-1227
Stockholm University, Faculty of Science, Department of Physics. Universidade de São Paulo, Brazil.
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Number of Authors: 6
2016 (English)In: New Journal of Physics, ISSN 1367-2630, E-ISSN 1367-2630, Vol. 18, 065004Article in journal (Refereed) Published
Abstract [en]

Quantum communication with systems of dimension larger than two provides advantages in information processing tasks. Examples include higher rates of key distribution and random number generation. The main disadvantage of using such multi-dimensional quantum systems is the increased complexity of the experimental setup. Here, we analyze a not-so-obvious problem: the relation between randomness certification and computational requirements of the post-processing of experimental data. In particular, we consider semi-device independent randomness certification from an experiment using a four dimensional quantum system to violate the classical bound of a random access code. Using state-of-the-art techniques, a smaller quantum violation requires more computational power to demonstrate randomness, which at some point becomes impossible with today's computers although the randomness is (probably) still there. We show that by dedicating more input settings of the experiment to randomness certification, then by more computational postprocessing of the experimental data which corresponds to a quantum violation, one may increase the amount of certified randomness. Furthermore, we introduce a method that significantly lowers the computational complexity of randomness certification. Our results show how more randomness can be generated without altering the hardware and indicate a path for future semi-device independent protocols to follow.

Place, publisher, year, edition, pages
2016. Vol. 18, 065004
Keyword [en]
quantum information, randomness, device independence
National Category
Physical Sciences
Research subject
Physics
Identifiers
URN: urn:nbn:se:su:diva-132409DOI: 10.1088/1367-2630/18/6/065004ISI: 000379291400001OAI: oai:DiVA.org:su-132409DiVA: diva2:952356
Available from: 2016-08-12 Created: 2016-08-11 Last updated: 2017-02-15Bibliographically approved
In thesis
1. Single Photon Sources and Single Quantum System enabled Communication
Open this publication in new window or tab >>Single Photon Sources and Single Quantum System enabled Communication
2017 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

Quantum information is a highly interesting and fast emerging field that involves processing information encoded into quantum systems and their subsequent use in various information tasks. The use of quantum resources such as superposition and entanglement have shown to enhance information processing capabilities beyond classical means in a number of communication, information and computation tasks. In this thesis, we have used single photons to study the advantage of d-level quantum systems (qudits) for a communication task commonly known as random access codes (RACs). A successful experimental demonstration of quantum random access codes (QRACs) with four dimensions is realized to demonstrate that the higher dimensional QRACs not only outperform the classical RACs but also provide an advantage over their quantum bit (qubit) counterparts. QRACs are also studied in regards to two specific applications: certification of true randomness and for testing the non-classicality of quantum systems. A method for increased certification of generated randomness is realized for the former and a successful experimental demonstration of a test of non-classicality with arbitrarily low detection efficiency is provided for the latter. This is followed by an implementation of a QRAC in a one-path communication network consisting of preparation, transformation and measurement devices. We have shown that the distributed QRAC provides optimal success probabilities for a number of tasks. Moreover, a novel quantum protocol for the solution to the problem of dining cryptographers and anonymous veto voting is also presented. This single photon transmission based protocol provides an efficient solution, which is experimentally demonstrated for a 3-party description. Lastly, Nitrogen-Vacancy (NV) center in diamond is studied as a potential resource for single photon emission and two methods to enhance the photon collection efficiency are successfully explored. Due to this enhancement, single photons from an NV center may also be used in similar single quantum system based communication experiments.

Place, publisher, year, edition, pages
Stockholm: Department of Physics, Stockholm University, 2017. 122 p.
Keyword
quantum information, quantum optics, quantum communication, single photon sources
National Category
Physical Sciences
Research subject
Physics
Identifiers
urn:nbn:se:su:diva-139095 (URN)978-91-7649-708-1 (ISBN)978-91-7649-709-8 (ISBN)
Public defence
2017-03-27, Lecture hall FB42, Albanova University Center, Roslagstullsbacken 21, Stockholm, 10:00 (English)
Opponent
Supervisors
Note

At the time of the doctoral defense, the following papers were unpublished and had a status as follows: Paper 3: Manuscript. Paper 4: Manuscript. Paper 5: Manuscript.

Available from: 2017-03-02 Created: 2017-02-03 Last updated: 2017-04-03Bibliographically approved

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