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arXiv · 2606.03722

Characterizing quantum channels from local-unitary invariants

Salwa Shaglel·Satoya Imai
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Abstract

We develop systematic frameworks for characterizing the entanglement properties of two-qubit channels beyond unitary settings. We introduce averaged local-unitary invariants, referred to as moments, obtained from Haar integrals over input states or unitaries. These moments provide computable descriptions of how a quantum channel can create, preserve, or destroy bipartite entanglement. We first show that second-order moments yield criteria for non-entangling and entanglement-breaking channels, which allow us to detect entanglement-creating and entanglement-preserving channels. We then demonstrate that higher-order moments can capture additional information and distinguish channels beyond second-order moments alone. Finally, we show that combinations of moments associated with different channel families improve the discrimination of locally inequivalent two-qubit unitaries.

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Salwa Shaglel, Satoya Imai. 2026-06-02. Characterizing quantum channels from local-unitary invariants. https://arxiv.org/abs/2606.03722

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