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There is a recent article on implementing a quantum von Neumann architecture. They do this via superconducting qubits, of course the implementation is very small, with only 7 quantum parts: two superc …

This is a question that is a little bit difficult to unpack if you are not familiar with computational complexity. Like most of the field of computational complexity, the main results are widely belie …

I tend to think of energy of the Hamiltonian as setting the time scale for what we count as 'steps' of the computation. An analogue in standard complexity would be on deciding what we count as a singl …

The randomness used in quantum computing comes from quantum mechanics and is postulated to be an inherent 'randomness' of nature (and one of the problems Einstein, for instance, had with QM). If you t …

With the exception of cryptography applications like Shor's algorithm and quantum key distribution, I think engineering 'killer-apps' are not the norm for quantum computing, and nobody expects them to …

The general rule of thumb is if you have cloning (and unbounded computation!), then most things get easy. In the case of the qubit-channel communication complexity, Alice can just send her initial sta …

You don't need to keep track of all $3$ colours for your colouring, because we know how to two colour quickly. Let the colours be $\{0,1,2\}$. Have an oracle $f: \{0,1\}^{|V|} \rightarrow \{0,1\}$ t …

I like Ashley Montanaro's answer, but I thought I would also include a set of functions for which the conjecture is known. A set of functions which is often of interest is functions with constant-size …

For total functions it is impossible to achieve more than a polynomial separation (i.e. $D(f) = O(Q^6(f))$) in the quantum query model, for more info see this cstheory blog post. With promise problems …

To my knowledge, the only institutes/universities currently introducing explicit graduate programs in quantum information processing are: IQC at University of Waterloo, CQT at National University of S …