General protocols for the efficient distillation of indistinguishable photons
arxiv(2024)
摘要
Highly pure and indistinguishable photons are a prerequisite for use in
quantum information processing. We introduce protocols for the distillation of
indistinguishable photons that offer a significant improvement over previous
work, reducing distinguishability error rates by a factor of n, with resource
requirements scaling linearly in n. We present the protocols, based on the
discrete Fourier transform and Hadamard (Sylvester) matrices, then give both
analytical and numerical results regarding their performance. We observe that
the same symmetry properties governing suppression laws are instrumental in
understanding the behavior of these distillation protocols. We also prove,
adapting a result from the Hadamard case, that for the n-photon discrete
Fourier transform with n a prime power, the suppression laws are exactly
characterized by the well-known Zero Transmission Law based on permutation
symmetry.
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