Photon distillation schemes with reduced resource costs based on multiphoton Fourier interference
Abstract: We present a scalable scheme to achieve photon distillation, i.e. the preparation of a single photon with reduced indistinguishability error out of multiple imperfect photons, based on multiphoton interference in Fourier matrices. Our scheme achieves arbitrary error reduction in a single step, removing the need to concatenate multiple rounds of the protocol. Our scheme has resource costs linear in the error reduction, and a constant probability of success for arbitrary error reductions. We find that the scheme both raises the threshold of error correcting codes in photonic quantum computers, as well as reduces the resources required to construct a photonic quantum computer, making it highly promising for implementation in such devices.
- S. Slussarenko and G. J. Pryde, Applied Physics Reviews 6 (2019).
- C. Sparrow, Ph.D. thesis (2017).
- Note1, the orthogonal bad-bit model is equivalent to the partial distinguishability model where x:=1−ϵassign𝑥1italic-ϵx:=1-\epsilonitalic_x := 1 - italic_ϵ [24]. The assumption of identical mutual partial distinguishability is demonstrated to be appropriate in multiphoton experiments with imperfect sources of sufficient quality [52].
- Note4, pre-computed data for N=3𝑁3N=3italic_N = 3 to N=10𝑁10N=10italic_N = 10 can be found in [38].
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