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7

To start, I would read "The next stage: quantum game theory" by E.W.Piotrowski, J. Sladkowski. While the paper is from 2003, the authors discuss how developments in quantum computation allow the extension of the scope of game theory. It includes some basic history as well as some basic ideas and recent developments in quantum game theory. These same ...

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(Based on the time limitation I assume we're talking about an undergraduate level project, and not something more advanced.) If you look at the questions about Grover's algorithm, you'll notice that a lot of them ask about implementing oracles for interesting tasks - or at least tasks more satisfying than looking for the state $|111\rangle$ :-) One ...

4

If you are looking for a place to start, I probably start by asking you a few clarifying questions. Quantum Computation & Information is a broad field. I would say that it can primarily be viewed as a spectrum, similar to classical computing, from hardware up to algorithms. To get an idea of the hardware side, a great reference is Jerry Chow's thesis. ...

4

It may or may not be exactly what you're looking for, but there is research done on coherent charge oscillations in a silicon field-effect transistor (paper by Gonzalez-Zalba et. al. at Hitatchi labs). In the above paper, they coherently control a double quantum dot in a silicon-on-insulator nanowire CMOS transistor, with a $T_2$ coherence time of $\approx ... 4 There are loads of different quantum computing journals, so you might want to be more specific about what you're looking for. However, the vast majority of papers (certainly theory, perhaps a bit less so the experiments) appear as preprints on the arXiv, specifically the quant-ph section. The majority of papers, all in one place, collectively searchable, and ... 3 In order to benefit from the use of quantum objects to perform classical computation, one possibility is proposed by Spintronics. Since the discovery of the giant magnetorresistence by Fert et al. (in Giant Magnetoresistance of (001)Fe/(001)Cr Magnetic Superlattices) a new field has been developed in which the spin has been used instead of the classical ... 3 On the practical side: A lot of work is currently going into getting small scale quantum computers to work, and this involves fundamental understanding and manipulation of small quantum systems, be it ions, photons or whatever else. I can only imagine what other uses we would be able to find for having a better grasp on handling these fundamental systems. A ... 2 It's fundamentally similar to/the same as Baker–Campbell–Hausdorff (BCH). Generally, in quantum physics, this is most often used (or at least taught) with commuting Hamiltonians: $$e^{-i\left(H_1+H_2\right)t} = \sum_{n=1}^\infty\frac{\left(-it\right)^n}{n!}\left(H_1+H_2\right)^n = e^{-iH_1t}e^{-iH_2t}e^{\frac{1}{2}\left[H_1, H_2\right]t^2}\cdots$$ where the ... 2 According to comment provided by user gIS, there was no progress in implementing qRAM as proposed in the paper. However, some additional information on qRAM physical implementation can be found on this forum here. 2 Of course if we have unitary evolution $$|\psi_1\rangle = U|\psi_0\rangle$$ then $$|\psi_0\rangle = U^\dagger|\psi_1\rangle$$ I did not read the paper, but evidently the authors do something different, based on the following: the Schrödinger equation $$i\hbar\frac{\partial\Psi}{\partial t}=\hat{H}\Psi$$ changes its form if we substitute$t\rightarrow -t\$ to ...

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In this paper, the authors used Knot theory to define what they call 'Path Model Representation'. In a later section they convert this representation to qubits by switching to binary.

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I'll reiterate on my earlier answer to What can be a mini research project based on Grover's algorithm or the Deutsch Jozsa algorithm?: I think "Applying Grover's search algorithm to solve problem X" is a great topic for a small (or not-so-small) project. It is a very well-known algorithm (well, at least it is featured in the writings about quantum ...

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One research direction that's in some ways just getting going is making the constant factors on the costs of quantum computation smaller. For example, the the first international workshop on quantum resource estimation (QRE2019) didn't happen ten years ago, it's happening later this year. Given known techniques, if you try to run a classical computation on ...

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A Different Way Of Looking At Linear Algebra Tensor Networks provide a different way of looking at linear algebra particularly within the context of tensor space systems. Quantum Circuits Are Just Products of Vectors and Operators A quantum circuit is inherently a tensor space system as when we have multiple qubits we must think of the whole circuit with ...

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I mostly work on quantum error correction and quantum information theory, so I can give you references about journals that cover such topics. Anyway, I am pretty sure that articles about quantum computing in general do also get published in such journals. I give you a list of them: IEEE transactions on Information Theory Physical Review Letters Physical ...

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Miniaturizing switching or transistor technology needs to go hand in hand with quantum (transport and computing) theory. I think that many challenging aspects (like for instance isotopically purifying silicon and donor implementation for single atom transistors) are classical material science problems. There is a recent review article on the strategies to ...

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The Quantum Reality group at the Centre for Quantum Technologies (National University of Singapore) https://qreality.quantumlah.org/

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