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MON: Monday Contributed Sessions
MON 23: Poster Session: Fundamental Aspects and Model Systems
MON 23.12: Poster
Monday, September 8, 2025, 18:30–20:30, ZHG Foyer 1. OG
Higher-dimensional entanglement detection and quantum channel characterization using moments of generalized positive maps — •Bivas Mallick1, Ananda G. Maity1,2, Nirman Ganguly3, and Archan S. Majumdar1 — 1S. N. Bose National Centre for Basic Sciences, Block JD, Sector III, Salt Lake, Kolkata 700 106, India — 2Networked Quantum Devices Unit, Okinawa Institute of Science and Technology Graduate University, Onna-son, Okinawa 904 0495, Japan — 3Department of Mathematics, Birla Institute of Technology and Science Pilani, Hyderabad Campus, Hyderabad, Telangana-500078, India
Higher-dimensional entanglement is a valuable resource for several quantum information processing tasks, and is often characterized by the Schmidt number and specific classes of entangled states beyond qubit-qubit and qubit-qutrit systems. We propose a criterion to detect high-dimensional entanglement, focusing on determining the Schmidt number of quantum states and identifying significant classes of PPT and NPT entangled states. Our approach relies on evaluating moments of generalized positive maps which can be efficiently simulated in real experiments without the requirement of full-state tomography. We demonstrate the effectiveness of our detection scheme through various illustrative examples. As an application, we explore the implications of our moment-based detection schemes in identifying useful quantum channels such as non-Schmidt number breaking channels. Finally, we present an operational implication of our proposed moment criterion through its manifestation in channel discrimination tasks.
Keywords: Entanglement; Schmidt number; Moment criteria; Positive map; Quantum channels