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Fock Space Perspective on Optimal Heralding Schemes
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We address the design of optimal heralding schemes in linear optical quantum computing context. The problem admits unit fidelity formulation in relevant Fock space, thanks to linear optic feasibility criteria of [Phys. Rev. A100, 022301; arXiv:1901.06178]. Corresponding solution methodology is presented. As an application we inspect optimality of a few known schemes of Bell states generation. It is shown that in case of six modes and two ancillary photons success rate 2/27 is suboptimal.
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Rigorous no-go theorems for heralded linear-optical state generation tasks
Applying the NulLA algorithm proves no-go theorems for heralded linear-optical state generation, showing e.g. that Bell states need ≥4 input photons and a heralded CNOT gate needs ≥2 ancilla photons.
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