Two weeks ago, I blogged about the claim of Ohad Keller and Nathan Klein to have proven the Aaronson-Ambainis Conjecture. Alas, Keller and Klein tell me that they’ve now withdrawn their preprint (though it may take another day for that to show up on the arXiv), because of what looks for now like a fatal […]
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Could you please give a direction/reference towards realising the following using any set of realisable quantum gates
$$\boxed{|S_{n}\rangle = \frac{1} {\sqrt{n!}} \sum_{S\in P_n^{n}} ( \,-1) \,^{\Gamma(S)}|s_{0}\rangle |s_{1}\rangle ....|s_{n-1}\rangle}$$
Here $P_n^{n}$ is the set of all permu...
$$\boxed{|S_{n}\rangle = \frac{1} {\sqrt{n!}} \sum_{S\in P_n^{n}} ( \,-1) \,^{\Gamma(S)}|s_{0}\rangle |s_{1}\rangle ....|s_{n-1}\rangle}$$
Here $P_n^{n}$ is the set of all permutations of $Z_n := \{0,1,··· ,n−1\}$, $S$ is a permutation (or sequence) in the form $S = s_0 s_1 ···s_{n−1}$. $\Ga...
