Abstract:We study communication over a quantum action-dependent channel, where the transmitter first performs an action that "shocks" the channel environment, and subsequently encodes a message into a transmission sent through the channel. This two-stage interaction arises in various settings, including rewriting over defective memory and quantum effects such as measurement-induced state collapse. Our model can be viewed as a quantum generalization of Weissman's classical action-dependent channel (2010). Here, however, Alice cannot have a copy of the environment state due to the no-cloning theorem. Instead, she may share entanglement with this environment. We derive achievable rates for reliable message transmission via the quantum action-dependent channel, with either causal or non-causal channel side information (CSI). As a case study, we analyze memory storage with depolarization and selective rewriting, demonstrating how action-dependent control influences performance.
From: Michael Korenberg [view email]
[v1]
Fri, 10 Oct 2025 20:11:14 UTC (21 KB)
[v2]
Mon, 27 Apr 2026 07:29:18 UTC (360 KB)
[v3]
Sun, 26 Jul 2026 15:49:00 UTC (513 KB)
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