A note on Schmidt-number witnesses based on symmetric measurements

• URL: http://arxiv.org/abs/2511.12887v1
• Date: Mon, 17 Nov 2025 02:21:51 GMT
• Title: A note on Schmidt-number witnesses based on symmetric measurements
• Authors: Xiao-Qian Mu, Hao-Fan Wang, Shao-Ming Fei,
• Abstract summary: We present a class of k-positive linear maps based on symmetric measurements.<n>We show that our Schmidt number witnesses identify better the Schmidt number of quantum states in high-dimensional systems.
• Score: 7.769439509157999
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The Schmidt number is an important kind of characterization of quantum entanglement. Quantum states with higher Schmidt numbers demonstrate significant advantages in various quantum information processing tasks. By deriving a class of k-positive linear maps based on symmetric measurements, we present new Schmidt-number witnesses of class (k + 1). By detailed example, we show that our Schmidt number witnesses identify better the Schmidt number of quantum states in high-dimensional systems. Furthermore, we note that the Fedorov ratio, which coincides with the Schmidt number for pure Gaussian states and provides a close approximation in non-Gaussian cases such as spontaneous parametric down-conversion, serves as an experimentally accessible tool for validating the proposed (k +1)-class Schmidt-number witnesses.

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