Efficient Characterisation and Optimal Control of Open Quantum Systems - Mathematical Foundations and Physical Applications

Since no physical system can ever be completely isolated from its environment, the study of open quantum systems is pivotal to reliably and accurately control complex quantum systems. In practice, reliability of the control field needs to be confirmed via certification of the target evolution while accuracy requires the derivation of high-fidelity control schemes in the presence of decoherence. In the first part of this thesis an algebraic framework is presented that allows to determine the minimal requirements on the unique characterisation of arbitrary unitary gates in open quantum systems, independent on the particular physical implementation of the employed quantum device. To this end, a set of theorems is devised that can be used to assess whether a given set of input states on a quantum channel is sufficient to judge whether a desired unitary gate is realised. This allows to determine the minimal input for such a task, which proves to be, quite remarkably, independent of system size. These results allow to elucidate the fundamental limits regarding certification and tomography of open quantum systems. The combination of these insights with state-of-the-art Monte Carlo process certification techniques permits a significant improvement of the scaling when certifying arbitrary unitary gates. This improvement is not only restricted to quantum information devices where the basic information carrier is the qubit but it also extends to systems where the fundamental informational entities can be of arbitary dimensionality, the so-called qudits. The second part of this thesis concerns the impact of these findings from the point of view of Optimal Control Theory (OCT). OCT for quantum systems utilises concepts from engineering such as feedback and optimisation to engineer constructive and destructive interferences in order to steer a physical process in a desired direction. It turns out that the aforementioned mathematical findings allow to deduce novel optimisation functionals that significantly reduce not only the required memory for numerical control algorithms but also the total CPU time required to obtain a certain fidelity for the optimised process. The thesis concludes by discussing two problems of fundamental interest in quantum information processing from the point of view of optimal control - the preparation of pure states and the implementation of unitary gates in open quantum systems. For both cases specific physical examples are considered: for the former the vibrational cooling of molecules via optical pumping and for the latter a superconducting phase qudit implementation. In particular, it is illustrated how features of the environment can be exploited to reach the desired targets.

Revision of the genus Fosterella (Bromeliaceae)

Die vorliegende Arbeit stellt eine umfassende taxonomische Revision der Gattung Fosterella L.B. Sm. (Bromeliaceae) dar, die alle 31 derzeit akzeptierten Arten umfasst und einen Bestimmungsschlüssel für diese beinhaltet. Die Revision beruht auf der morphologisch-anatomischen Auswertung von Herbarmaterial (über 800 Exsikkate), Lebendpflanzen (ca. 150 Akzessionen) und eigenen vergleichenden Untersuchungen im Freiland. Die Gattung Fosterella ist seit nunmehr etlichen Jahren Forschungsgegenstand einer interdisziplinären Studie, die sowohl molekulrae, als auch anatomische, morphologische und biogeographische Untersuchungen einbezieht. Unser Interesse an der Gattung Fosterella gründet sich auf ihrer enormen ökologischen und biogeographischen Vielfalt, sie gilt als hervorragendes Modellsystem für Artbildungsmechanismen in den Anden. In den letzten Jahren wurde von verschiedenen molekularen Methoden Gebrauch gemacht, um die verwandtschaftlichen Beziehungen innerhalb der Gattung zu untersuchen, so dass mittlerweile gut aufgelöste Stammbäume vorliegen. Diese molekularen Studien, überwiegend durchgeführt von Dr. Martina Rex, wurden ergänzt durch intensive Sammelaktivitäten und eingehende taxonomische Untersuchungen im Rahmen der vorliegenden Revision. Auf diese Weise konnten die morphologische Plastizität der einzelnen Arten erfasst und schließlich ein wohlfundiertes Artkonzept vorgelegt werden. Zunächst wird ein kurzer Überblick über die Familie der Bromeliaceen als auch die Gattung Fosterella gegeben, in dem jeweils Informationen zur Verbreitung, Morphologie, Physiologie, Ökologie und Phylogenie geliefert werden. Im Anschluss an einen historischen Überblick des taxonomischen Werdegangs wird die Abgrenzung der Gattung Fosterella zu den nächstverwandten Gattungen Deuterocohnia, Dyckia und Encholirium erläutert. Die morphologischen Merkmale zur Differenzierung der Arten innerhalb der Gattung werden im Hinblick auf ihre Zuverlässigkeit und ihr Gewicht diskutiert. Der Artschlüssel basiert auf Merkmalen, die leicht auszumachen und gut zu unterscheiden sind. Bei der ausführlichen Beschreibung der Arten wird auch auf ihre jeweilige Verbreitung, Ökologie, taxonomische Abgrenzung, systematische Verwandtschaft sowie die Etymologie des Namens eingegangen. Beigefügt sind jeweils Zeichnungen, ein Foto vom Holo-/Lectotypus, Fotos von Lebendpflanzen sowie eine Verbreitungskarte. Im Rahmen der taxonomischen Arbeit wurden fünf Arten zu Synonymen reduziert: Fosterella chiquitana Ibisch, R. Vásquez & E. Gross und F. latifolia Ibisch, R. Vásquez & E. Gross wurden in die Synonymie von F. penduliflora (C.H. Wright) L.B. Sm. eingezogen; F. fuentesii Ibisch, R. Vásquez & E. Gross als Synonym zu F. albicans (Griseb.) L.B. Sm. gestellt; F. elata H. Luther in die Synonymie von F. rusbyi (Mez) L.B. Sm. verwiesen und F. nowickii Ibisch, R. Vásquez & E. Gross als Synonym zu F. weddelliana (Brongn. ex Baker) L.B. Sm. gestellt. Fosterella schidosperma (Baker) L.B. Sm. var. vestita L.B. Sm. & Read wird zum Synonym von Fosterella weberbaueri (Mez) L.B. Sm. reduziert. Sechs Arten wurden neu beschrieben: Fosterella batistana Ibisch, Leme & J. Peters; F. christophii Ibisch, R. Vásquez & J. Peters; F. elviragrossiae Ibisch, R. Vásquez & J. Peters; F. kroemeri Ibisch, R. Vásquez & J. Peters; F. nicoliana J. Peters & Ibisch und F. robertreadii Ibisch & J. Peters. Das Taxon F. gracilis (Rusby) L.B. Sm. wurde neu etabliert. Um die Evolution von einzelnen morphologischen Merkmalen zu rekonstruieren, wurden die Zustände von zehn ausgewählten Merkmalen kodiert und auf einen molekularen Stammbaum kartiert. Die folgenden Merkmalszustände wurden als ursprünglich innerhalb der Gattung ermittelt: Stammlosigkeit, ganzrandige Blattspreiten, flache Rosetten mit dem Boden aufliegenden Blättern, locker beschuppte Blattunterseiten, schildförmige Haare mit gezähntem Rand, ganzrandige Pedunkel-Brakteen, rispenförmiger Blütenstand, kahle/verkahlende Blütenstandsachsen, weiße Petalen und einfach-aufrechte Narben. Rückschlüsse bezüglich der Evolution und Ausbreitung der Gattung Fosterella werden diskutiert: Die überwiegend kleinen Verbreitungsgebiete der Arten hängen offensichtlich mit ihren fragmentierten, inselartigen Habitaten (z.B. innerandine Trockentäler) zusammen. Die Tatsache, dass die Yungas-Bergregenwälder des Departamento La Paz, Bolivia, die Region mit der größten Artenvielfalt darstellen, lässt sich mit der extrem variablen Topographie und der außerordentlich hohen Vielfalt an Habitaten dieser Region erklären. Aus folgenden Gründen erscheint es sehr wahrscheinlich, dass die Gattung Fosterella ihren Ursprung im Tiefland hat: Die Mehrheit der Arten weist einen eher mesophytischen Habitus auf und ist in mehr oder weniger humiden Habitaten zu finden. Die Gattung ist durch mehrere Arten in sehr alten Habitaten des präkambrischen Schilds im Tiefland von Zentral-Südamerika vertreten. Weiterhin betreiben, soweit bekannt, alle Fosterella Arten C3 Photosynthese, während in den Gattungen der Schwestergruppe, Deuterocohnia, Dyckia and Encholirium, CAM der verbreitete Photosyntheseweg ist. In jedem Fall ist die Besiedelung der Anden und/oder Tieflandhabitate mehrfach unabhängig voneinander geschehen, vielleicht sogar in beiden Richtungen.

Local food security and principle of organic farming (from farm to fork) in context of food culture in Indonesia: Minangkabau's case study

The basic idea behind improving local food security consists of two paths; first, accessibility (price, stock) and second, availability (quantity and biodiversity); both are perquisites to the provision of nutrients and a continuous food supply with locally available resources. The objectives of this thesis are to investigate if indigenous knowledge still plays an important role in traditional farming in the Minangkabau`s culture, thus supporting local food security. If the indigenous knowledge still plays a role in food culture in the Minangkabau`s culture which is linked to the matrilineal role and leads to a sound nutrition. Further, it should be tested if marantau influences traditional farming and food culture in Minangkabau`s, and if the local government plays a role in changing of traditional farming systems and food culture. Furthermore this thesis wants to prove if education and gender are playing a role in changing traditional farming system and food culture, and if the mass media affects traditional farming systems and food culture for the Minangkabau. The study was completed at four locations in West Sumatera; Nagari Ulakan (NU) (coastal area), Nagari Aia Batumbuak (NAB) (hilly area), Nagari Padang Laweh Malalo (NPLM) (lake area), Nagari Pandai Sikek (NPS) (hilly area). The rainfall ranged from 1400- 4800 mm annually with fertile soils. Data was collected by using PRA (Participatory Rural Appraisal) to investigate indigenous knowledge (IK) and its interactions, which is also combining with in depth-interview, life history, a survey using semi-structured-questionnaire, pictures, mapping, and expert interview. The data was collected from June - September 2009 and June 2010. The materials are; map of area, list of names, questionnaires, voices recorder, note book, and digital camera. The sampling method was snowball sampling which resulted in the qualitative and quantitative data taken. For qualitative data, ethnography and life history was used. For quantitative, a statistical survey with a semi-structured questionnaire was used. 50 respondents per each site participated voluntarily. Data was analyzed by performing MAXQDA 10, and F4 audio analysis software (created and developed by Philip-University Marburg). The data is clustered based on causality. The results show that; the role of IK on TFS (traditional farming system) shown on NPLM which has higher food crop biodiversity in comparison to the other three places even though it has relatively similar temperature and rainfall. This high food crop biodiversity is due to the awareness of local people who realized that they lived in unfavourable climate and topography; therefore they are more prepared for any changes that may occur. Carbohydrate intake is 100 % through rice even though they are growing different staple crops. Whereas most of the people said in the interviews that not eating rice is like not really eating for them. In addition to that, mothers still play an important role in kitchen activities. But when the agriculture income is low, mothers have to decide whether to change the meals or to feel insecure about their food supply. Marantau yields positive impact through the remittances it provides to invest on the farm. On the other hand, it results in fewer workers for agriculture, and therefore a negative impact on the transfer of IK. The investigation showed that the local government has a PTS (Padi Tanam Sabatang) programme which still does not guarantee that the farmers are getting sufficient revenue from their land. The low agricultural income leads to situation of potential food insecurity. It is evident that education is equal among men and women, but in some cases women tend to leave school earlier because of arranged marriages or the distances of school from their homes. Men predominantly work in agriculture and fishing, while women work in the kitchen. In NAB, even though women work on farmland they earn less then men. Weaving (NPS) and kitchen activity is recognized as women’s work, which also supports the household income. Mass media is not yielding any changes in TFS and food culture in these days. The traditional farming system has changed because of intensive agricultural extension which has introduced new methods of agriculture for the last three decades (since the 1980’s). There is no evidence that they want to change any of their food habits because of the mass media despite the lapau activity which allows them to get more food choices, instead preparing traditional meal at home. The recommendations of this thesis are: 1) The empowerment of farmers. It is regarding the self sufficient supply of manure, cooperative seed, and sustainable farm management. Farmers should know – where are they in their state of knowledge – so they can use their local wisdom and still collaborate with new sources of knowledge. Farmers should learn the prognosis of supply and demand next prior to harvest. There is a need for farm management guidelines; that can be adopted from both their local wisdom and modern knowledge. 2) Increase of non-agricultural income Increasing the non-agricultural income is strongly recommended. The remittances can be invested on non-agricultural jobs. 3) The empowerment of the mother. The mother plays an important role in farm to fork activities; the mother can be an initiator and promoter of cultivating spices in the backyard. Improvement of nutritional knowledge through information and informal public education can be done through arisan ibu-ibu and lapau activity. The challenges to apply these recommendations are: 1) The gap between institutions and organizations of local governments. There is more than one institution involved in food security policy. 2) Training and facilities for field extension agriculture (FEA) is needed because the rapid change of interaction between local government and farmer’s dependent on this agency.