Quantum capacity analysis of finite-dimensional lossy channels

• URL: http://arxiv.org/abs/2601.18960v1
• Date: Mon, 26 Jan 2026 20:56:58 GMT
• Title: Quantum capacity analysis of finite-dimensional lossy channels
• Authors: Sofia Cocciaretto, Vittorio Giovannetti,
• Abstract summary: Quantum Capacity of 4-dimensional MAD's is studied, relying on a technique for computing it even outside of degradable and antidegradable conditions.<n>We also characterized the complete region of antidegradability and degradability in the parameter space for a generic d-dimensional MAD.
• Score: 0.8594140167290097
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Traditionally, Quantum Information, and Quantum Communication specifically, have been focused on qubit-based architectures. Recent results, however, highlighted that higher dimensional architectures (qudit-based) may present advantages both in terms of communication and computation; a family of channels called Multi-level Amplitude Damping (MAD) channels, which are a possible qudit generalization of the well known Amplitude Damping Channels, is able to model energy decay processes that may happen during signal transmission. In this work, the Quantum Capacity of 4-dimensional MAD's is studied, relying on a technique for computing it even outside of degradable and antidegradable conditions. We also characterized the complete region of antidegradability and degradability in the parameter space for a generic d-dimensional MAD using both analytical and semi-numerical methods.

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