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- W4304149888 abstract "We develop a recursive algorithm to generalize the quantum SWAP test for an arbitrary number m of quantum states requiring O(m) controlled-swap (CSWAP) gates and $$O(log m)$$ ancillary qubits. We construct a quantum circuit able to simultaneously measure overlaps $$|langle phi _i, phi _jrangle |^2$$ of m arbitrary pure states $${|{phi _1ldots phi _m}rangle }$$ . Our construction relies on a pairing unitary that generates a superposition state where every pair of input states is labeled by a basis state formed by the ancillaries. By implementing a simple genetic algorithm, we give numerical evidence indicating that our method of labeling each pair of inputs using CSWAP gates is optimal up to $$m=8$$ . Potential applications of the new circuits in the context of quantum machine learning are discussed." @default.
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- W4304149888 date "2022-10-10" @default.
- W4304149888 modified "2023-09-27" @default.
- W4304149888 title "SWAP test for an arbitrary number of quantum states" @default.
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- W4304149888 doi "https://doi.org/10.1007/s11128-022-03643-1" @default.
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