Partial-measurement-enhanced high-dimensional superdense coding in amplitude damping channel with memory

doi:10.1088/1674-1056/ae27b4

Abstract We study the performance of high-dimensional superdense coding (HD-SDC) over an amplitude damping (AD) channel with memory and propose a protocol that leverages partial measurement and its reversal to enhance the channel capacity. By considering a two-qutrit system, we model the memory AD noise using a convex mixture of memoryless and perfectly memory AD channels. We demonstrate that the memory effect alone can mitigate the decay of the SDC capacity under noise. More significantly, we show that the application of partial measurement before the channel and its reversal after the channel can not only recover the capacity degraded by noise but, for certain non-maximally entangled initial states, even amplify it beyond the initial capacity. This amplification effect is governed by three key factors: the ground-state probability in the initial entangled state, the memory strength, and the partial measurement strength. Our results provide a practical strategy for enhancing quantum communication protocols in realistic noisy environments and highlight the synergistic benefits of memory noise and measurement-based control.

Keywords: high-dimensional systems superdense coding memory noise partial measurement

Received: 25 September 2025
Revised: 20 November 2025
Accepted manuscript online: 04 December 2025

PACS:	03.67.-a	(Quantum information)
	42.50.Lc	(Quantum fluctuations, quantum noise, and quantum jumps)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 12265004 and 12534020), the Natural Science Foundation of Jiangxi Province (Grant No. 20242BAB26010), the National Natural Science Foundation of China (Grant Nos. 12565001 and 12205054), the Natural Science Foundation of Jiangxi Province (Grant No. 20252BAC200163), the National Natural Science Foundation of China (Grant No. 12365003), and the Jiangxi Provincial Key Laboratory of Multidimensional Intelligent Perception and Control of China (Grant No. 2024SSY03161).

Corresponding Authors: Tian-Xiang Lu
E-mail: lu.tianxiang@foxmail.com

Cite this article:

Xing Xiao(肖兴), Zhipeng Yang(杨志鹏), Yan-Ling Li(李艳玲), Fangqing Tang(唐方清), and Tian-Xiang Lu(卢天祥) Partial-measurement-enhanced high-dimensional superdense coding in amplitude damping channel with memory 2026 Chin. Phys. B 35 040301

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Partial-measurement-enhanced high-dimensional superdense coding in amplitude damping channel with memory

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