Abstract: We describe a family of recursive methods for the synthesis of qubit permutations on quantum computers with limited qubit connectivity. Two objectives are of importance: circuit size and ...

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Mathematician Eugenia Cheng explores the uses of math beyond the classroom. Read more columns here. I was in London during the recent Wimbledon tournament, enjoying a traditional Pimm’s Cup and ...

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The ability to perform classically intractable electronic structure calculations is often cited as one of the principal applications of quantum computing. A great deal of theoretical algorithmic ...

Abstract: This paper proposes a new recursive method for constructing (n+1)-bit Boolean permutations from n-bit ones, and proves that all (n+1)-bit Boolean permutations can be constructed by the ...

A recursive approach (which is what I would use) would involve breaking the problem into isomorphic subproblems: to find all permutations of a string, find all permutations of the string without a ...