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update my essay
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@ -462,7 +462,7 @@ Hi Bill,
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The last few months have been a complicated time for me and
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sometimes it seems to me, that all I've done is complaining. This is
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an effort to try to explain my troubles and to be constructive about
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taking steps twoards resolving them. I want to do this in text form,
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taking steps towards resolving them. I want to do this in text form,
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as it is sometimes hard for me to stay focussed in dialog and I wan't
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to do it now, as I'm getting increasingly angry withmyself about my
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dissatisfaction (however unjustified it may be).
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@ -487,14 +487,14 @@ form as the scope of the project was limited and I had the great
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fortune to make a great deal of progress right at the
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beginning.
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The notes I'm currently preparing include a section called
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\cref{sec:an-attempt-formulate}. There, I have tried to explain my
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worries about the project. I understand that my perspective is very
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limited and I may just be missunderstanding something.
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In \cref{sec:an-attempt-formulate}, I have tried to explain my worries
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about the project. I understand that my perspective is very limited
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and I may just be missunderstanding something. Some of it may also
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simply boil down to subjectivity.
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The main takeaway is, that I'm very afraid of working on something
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that I don't believe in. I have a hard time sharing your and
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Philippe's enthusiasm about it.
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that I don't believe in. I have a hard time sharing the enthusiasm of
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you and Philippe.
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The way forward after reaching the immediate goal of realizing the
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model in \refcite{Ricottone2020} is to the clear up my doubts by
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@ -520,7 +520,7 @@ I've designed myself a daily schedule that allocates time to the
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Dresden Project (which is nearing completion), literature research,
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writing this email and general work on the project and on
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coursework. This has helped me in the last week, at least on the days
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I stuck to the plan ^^.
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I stuck to the plan.
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Talking to others also helped, as they've told me about their
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experiences and troubles. At the same time, most seem enthusiastic
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@ -528,17 +528,17 @@ about their research and which gives me hope. The grass looking
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greener on the other side seems to be a common theme. Nevertheless, my
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lack of enthusiasm seems to be a little outside of the norm.
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Originally I got into the quantum information / open systems world,
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because exploring the more intricate implications of quantum theory
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excited me. The quantum thermodynamics angle of my master's work was
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somewhat aligned with that. Things like the analysis of the
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non-Markovian quantum walk I think are interesing. Although I don't
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know much about the field of topological physics, the connection to
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differential geometry (quantum metric tensor) and group theory appeals
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to me. However, I don't know how much this topic fits into the scope
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the group and what specifically to work on. Realizing those models
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does not appeal to me very much, but maybe that could change. I don't
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know how feasible, interesting and well studied the extension of
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Originally I got into quantum information / open systems, because
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exploring the more intricate implications of quantum theory excited
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me. The quantum thermodynamics angle of my master's work was somewhat
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aligned with that. Things like the analysis of the non-Markovian
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quantum walk I think are interesing. Although I don't know much about
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the field of topological physics, the connection to differential
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geometry (quantum metric tensor) and group theory appeals to
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me. However, I don't know how much this topic fits into the scope the
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group and what specifically to work on. Realizing those models does
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not appeal to me very much, but maybe that could change. I don't know
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how feasible, interesting and well studied the extension of
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topological systems to open systems is.
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I also like the interface of GR and QM, although my very limited
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@ -559,9 +559,12 @@ I find my vision.
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Other things that sounded cool are non abelian statistics and quantum
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information processing, or also continous measurement.
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\section{An Attempt to Formulate my Worries About the Project}
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\label{sec:an-attempt-formulate}
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On the numerical side I'm interested in tensor network and physically
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informed neural networks. Maybe the latter is an interesting direction
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to look into.
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\subsection{An Attempt to Formulate my Worries About the Project}
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\label{sec:an-attempt-formulate}
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Along with the issue concerning arbitrary unitary transformations on
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the amplitudes mentioned in \cref{sec:notat-prel}, I also wonder how
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@ -581,7 +584,7 @@ physics taking place are quantum mechanical in nature. Each
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realization of a model in such a system would constitute a test of
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quantum mechanics and thus be of interest from a physical
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standpoint. It would also constitute a physical implementation of some
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(hopefully) interesting behavior, for example Mojorana modes, or
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(hopefully) interesting behavior, for example Majorana modes, or
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super-conductivity, or some topological effects.
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One can of course interject now that light, or any physical system, is
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@ -590,26 +593,27 @@ of the resonator modes, we also perform a quantum measurement albeit
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neglecting the fluctuations. In that sense however, a numerical simulation
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would then also constitute an equally valid ``realization''.
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The one merit of the fiber loop setup (or any similar setup) that I
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can think of is then to solve problems that are not tractable
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analytically or numerically and that are nevertheless of practical
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interest. The main goal of this project in the short term should then
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be to identify such problems and asses them with respect to their
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eligibility for treatment using the analog computer.
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One merit of the fiber loop setup (or any similar setup) that I can
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think of\footnote{And that got mentioned in our discussions.} is then
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to solve problems that are not tractable analytically or numerically
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and that are nevertheless of practical interest. If this is indeed the
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big picture, then the main goal of this project in the medium term
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should then be to identify such problems and asses them with respect
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to their eligibility for treatment using the analog computer.
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I must admit that this prospect seems daunting to me, as I'm lacking
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the experience in the field. This of-course is no reason to throw the
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towel. It just puts me off.
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Working on something that has some chance of turning out to be of no
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immediate practical use is also nothing that should frighten a
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physicist. The development of quantum mechanics itself answered an
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interesting physical questions and much later paid off by giving us
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the technology that enables the information age.
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immediate practical may doesn't have to be frighten a physicist. The
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development of quantum mechanics itself answered an interesting
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physical questions and much later paid off by giving us the technology
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that enables the information age.
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Odd enough, the question ``Can we coax the fiber loop setup into
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simulating the Hamiltonian \(H\)?'' is not that interesting in
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itself. This is a subjective phenomenon, but how can't it be?
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The question ``Can we coax the fiber loop setup into simulating the
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Hamiltonian \(H\)?'' is not that interesting in itself for me. This
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is a subjective assessment.
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I may also just be overlooking something that alleviates the issue
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discussed at the beginning, which would be the optimal situation.
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