Robust generation of $N$-partite $N$-level singlet states by identical particle interferometry

• URL: http://arxiv.org/abs/2312.17184v2
• Date: Mon, 8 Jan 2024 16:16:17 GMT
• Title: Robust generation of $N$-partite $N$-level singlet states by identical particle interferometry
• Authors: Matteo Piccolini, Marcin Karczewski, Andreas Winter, Rosario Lo Franco
• Abstract summary: We propose an interferometric scheme for generating the totally antisymmetric state of $N$ identical bosons with $N$ internal levels. This state is a resource for various problems with dramatic quantum advantage.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We propose an interferometric scheme for generating the totally antisymmetric state of $N$ identical bosons with $N$ internal levels (generalized singlet). This state is a resource for various problems with dramatic quantum advantage. The procedure uses a sequence of Fourier multi-ports, combined with coincidence measurements filtering the results. Successful preparation of the generalized singlet is confirmed when the $N$ particles of the input state stay separate (anti-bunch) on each multiport. The scheme is robust to local lossless noise and works even with a totally mixed input state.

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