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arXiv · 2601.18960

Quantum capacity analysis of finite-dimensional lossy channels

Sofia Cocciaretto·Vittorio Giovannetti
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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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Sofia Cocciaretto, Vittorio Giovannetti. 2026-01-26. Quantum capacity analysis of finite-dimensional lossy channels. https://arxiv.org/abs/2601.18960

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