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Stabilizer formalism in linear optics and application to Bell-state discrimination

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arxiv 2301.06551 v1 pith:HQWR2EEU submitted 2023-01-16 quant-ph

Stabilizer formalism in linear optics and application to Bell-state discrimination

classification quant-ph
keywords bell-statediscriminationlinearphotonsanalyzeancillacircuitsformalism
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We propose a framework to analyze linear optical circuits based on an analogy with stabilizer formalism in quantum circuits, which provides efficiently computable formulas related to state discriminations. Hence, we analyze a Bell-state discrimination scheme with linear optics and ancillary single photons. With an increasing number of ancilla photons, the success probability of Bell-state discrimination has a maximum of $\frac{403}{512} \simeq 0.787$ at $28$ ancilla photons. By contrast, the corresponding two-qubit measurement asymptotically approaches a maximally entangling measurement.

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