7 research outputs found
Quantum computing on cloud-based processors
Thesis (MSc)--Stellenbosch University, 2022.ENGLISH ABSTRACT: The noisy intermediate-scale quantum (NISQ) era refers to the current technological
epoch permeated with quantum processors that are big enough (50-100 qubits) to
be no longer trivially simulatable with digital computers but not yet capable of full
fault-tolerant computation. Such processors provide great testbeds to understand the
practical issues and resources needed to realize quantum tasks in these processors,
such as quantum algorithms. Many pressing issues arise in this context that are a
direct consequence of the limitations of these processors (limited number of qubits,
low qubit connectivity, and limited coherence times). Hence, for near-term quantum
algorithms, there is an overriding imperative to adopt an approach that takes into
account, and attempts to mitigate or circumvent some of these limitations.
In this thesis, we examine realizing Groverâs quantum search algorithm for four qubits
on IBM Q superconducting quantum processors, and potentially scaling up to more
qubits. We also investigate non-canonical forms of the quantum search algorithm that
trade accuracy for speed in a way that is more suitable for near-term processors. Our
contribution to this topic of research is a slight improvement in the accuracy of the
solution to a graph problem, solved with a quantum search algorithm implemented
on IBM Q quantum processors by Satoh et .al in IEEE Transactions on Quantum
Engineering (2020). We also explore the realization of a measurement-based quantum
search algorithm for three qubits. Unfortunately, the number of qubits and two-qubit
gates required by such an algorithm puts it beyond the reach of current quantum
processors.
Based on a recently published work with Professor Mark Tame, we also report a
proof-of-concept demonstration of a quantum order-finding algorithm for factor-
ing the integer 21. Our demonstration builds upon a previous demonstration by
MartĂn-LĂłpez et al. in Nature Photonics 6, 773 (2012). We go beyond this work by
implementing the algorithm on IBM Q quantum processors using a configuration of
approximate Toffoli gates with residual phase shifts, which preserves its functional
correctness and allows us to achieve a complete factoring of N D 21 using a quantum
circuit with relatively fewer two-qubit gates.
Lastly, we realize a small-scale three-qubit quantum processor based on a spontaneous
parametric down-conversion source built to generate a polarization-entangled Bell
state. The state is enlarged by using the path degree of freedom of one of the photons
to make a 3-qubit GHZ state. The generated state is versatile enough to carry out
quantum correlation measurements such as Bellâs inequalities and entanglement
witnesses. The entire experimental setup is motorized and made automatic allowing
remote control of the measurements of each of the qubits, and we design and build a
mobile graphical user interface to an provide intuitive and visual way to interact with
the experiment.AFRIKAANSE OPSOMMING: Die ruiesende intermediĂŞre skaal kwantum (NISQ) era verwys na die huidige tegnolo-
giese epog deurdring met kwantumverwerkers wat groot genoeg is (50-100 qubits) om
nie meer doeltreffend gesimuleer te kan word op digitale rekenaars nie, maar nog nie
in staat is om volle foutverdraagsame berekening uit te voer nie. Sulke verwerkers bied
baie goeie toetsplatforms om die probleme en hulpbronne mee te verstaan wat nodig
is om kwantumtake soos kwantumalgoritmes in hierdie verwerkers te verwesenlik.
Baie dringende kwessies ontstaan in hierdie konteks wat ân direkte gevolg is van die
beperkings van hierdie verwerkeers (beperkte aantal qubits, lae qubit konnektiwiteit
en beperkte samehang tye). Daarom is daar vir naby-termyn kwantum algoritmes ân
oorheersende noodsaaklikheid om ân benadering aan te neem wat hierdie beperkings
in ag neem en pogings aanwend om sommige daarvan te versag of te omseil.
In hierdie handeling het ons ondersoek ingestel na Grover se kwantumsoekalgoritmes
vir vier qubits op IBM Q supergeleier kwantumverwerkers en die moontlike opskaal
na ân groter aantal qubits. Ons ondersoek ook nie-kanonieke vorms van die kwantum-
soekalgoritmes wat akkuraatheid vir spoed verhandel op ân manier wat meer geskik is
vir naby-termyn verwerkers. Ons bydra tot hierdie navorsingsonderwerp is ân effense
verbetering aan die akkuraatheid van die oplossing vir ân grafiekprobleem opgelos met
ân soekalgoritme wat op IBM Q kwantumverwerkers geĂŻmplimenteer is deur Satoh et
al. In IEEE Transactions on Quantum Engineering (2020). Ons ondersoek ook die
verwesenliking van ân waarneming-gebaseerde kwantumsoekalgoritme vir drie qubits.
Die aantal qubits en twee-qubit logikahekke wat deur so ân algoritme vereis word plaas
dit buite die bereik van huidige kwantumverwerkers.
Gebaseer op ân onlangs-gepubliseerde navorsingsstuk saam met professor Mark Tame
rapporteer ons ook ân bewys-van-konsep demonstrasie van ân kwantum volgordebepal-
ing algoritme vir die faktorisering van die heelgetal 21. Ons demonstrasie bou voort
op ân vorige demonstrasie deur MartĂn LĂłpez et al. In Nature Photonics 6,773 (2012).
Ons brei uit op hierdie navorsing deur die die algoritme op IBM Q kwantumverwerk-
ers te implimenteer met gebruik van benaderde Toffoli logikahekke met oorblywende
faseverskuiwings â wat sy funksionele integriteit behou en ons instaat stel om ân
volledige faktoriseering van N = 21 te bereik met behulp van ân kwantumstroombaan
met ân kleiner aantal twee-qubit logikahekke.
Laastens bewerkstellig ons ân kleinskaalse drie-qubit kwantumverwerker gebaseer op
ân spontane parametriese fluoressensie (âspontaneous parametric down-conversionâ)
bron wat gebou is om ân polarisasie-verstrengelde Bell staat te genereer. Hierdie staat
word vergroot deur die baanvryheidsgraad van een van die fotone te gebruik om
kwantumkorrelasie metings soos Bell se ongelykhede en verstrengelingsgetuies uit te
voer. Die hele eksperimentele opstelling word gemotoriseer en geautomatiseer sodat
waarnemings van elk van die qubits deur middel van afstandbeheer gemaak kan word,
en ons ontwerp en ontwikkel ân mobile grafiese gebruikerskoppelvlak om ân intuĂŻtiewe
en visuele manier te bied om met die eksperiment te kommunikeer.Master
Putting Chinese natural knowledge to work in an eighteenth-century Swiss canton: the case of Dr Laurent Garcin
Symposium: S048 - Putting Chinese natural knowledge to work in the long eighteenth centuryThis paper takes as a case study the experience of the eighteenth-century Swiss physician, Laurent Garcin (1683-1752), with Chinese medical and pharmacological knowledge. A Neuchâtel bourgeois of Huguenot origin, who studied in Leiden with Hermann Boerhaave, Garcin spent nine years (1720-1729) in South and Southeast Asia as a surgeon in the service of the Dutch East India Company. Upon his return to Neuchâtel in 1739 he became primus inter pares in the small local community of physician-botanists, introducing them to the artificial sexual system of classification. He practiced medicine, incorporating treatments acquired during his travels. taught botany, collected rare plants for major botanical gardens, and contributed to the Journal Helvetique on a range of topics; he was elected a Fellow of the Royal Society of London, where two of his papers were read in translation and published in the Philosophical Transactions; one of these concerned the mangosteen (Garcinia mangostana), leading Linnaeus to name the genus Garcinia after Garcin. He was likewise consulted as an expert on the East Indies, exotic flora, and medicines, and contributed to important publications on these topics.
During his time with the Dutch East India Company Garcin encountered Chinese medical practitioners whose work he evaluated favourably as being on a par with that of the Brahmin physicians, whom he particularly esteemed. Yet Garcin never went to China, basing his entire experience of Chinese medical practice on what he witnessed in the Chinese diaspora in Southeast Asia (the âEast Indiesâ). This case demonstrates that there were myriad routes to Europeans developing an understanding of Chinese natural knowledge; the Chinese diaspora also afforded a valuable opportunity for comparisons of its knowledge and practice with other non-European bodies of medical and natural (e.g. pharmacological) knowledge.postprin