Linear optical Bell state measurement for rotation-symmetric cat codes
- URL: http://arxiv.org/abs/2606.22832v3
- Date: Wed, 01 Jul 2026 06:28:41 GMT
- Title: Linear optical Bell state measurement for rotation-symmetric cat codes
- Abstract summary: Rotation-symmetric cat (RS-cat) codes are a bosonic-code platform for quantum information processing.<n>In this work, we consider a Bell state measurement protocol for RS-cat codes using only a half beam splitter.<n>We numerically evaluate the success probability under photon loss and identify the loss regime in which higher-order RS-cat codes provide an advantage.
- Score: 0.28675177318965045
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Rotation-symmetric cat (RS-cat) codes are a bosonic-code platform for quantum information processing, combining finite-energy realizability with robustness against photon loss through their discrete rotational symmetry. For applications in long-distance quantum communication and fusion-based quantum computation (FBQC), efficient Bell state measurement (BSM) is a key primitive. In this work, we consider a BSM protocol for RS-cat codes using only a half beam splitter (HBS) and photon-number-resolving detectors (PNRDs). By exploiting the characteristic photon-number structure induced by the discrete rotational symmetry of RS-cat codes, our protocol extracts both photon-number modulo and phase information for Bell-state discrimination. We show that, under ideal loss-free conditions, the proposed BSM protocol becomes deterministic for arbitrary symmetry order $N$ for sufficiently large amplitudes $α$. We further numerically evaluate the success probability under photon loss and identify the loss regime in which higher-order RS-cat codes provide an advantage. Finally, we show that post-selection can enhance the success probability.
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