Unbounded Communication Power of a Qubit

• URL: http://arxiv.org/abs/2605.16093v1
• Date: Fri, 15 May 2026 15:49:14 GMT
• Title: Unbounded Communication Power of a Qubit
• Abstract summary: We show how long information encoded in a single qubit remains accessible even after multiple decoding.<n>Our results show that, even under repeated measurements, the information encoded in a qubit need not be entirely exhausted.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Quantum mechanics enables information-processing advantages even at the level of a single qubit. A paradigmatic example is the 2$\to$1 random access code (RAC), where a qubit outperforms a classical bit in retrieving encoded information. In the standard form, however, this quantum advantage is restricted to a single receiver, since decoding measurements inevitably destroy the encoded information. Contrary to this, we address how long the information encoded in a single qubit remains accessible even after multiple decoding, each with a quantum advantage. Introducing preparation distinguishability as an operational resource associated with the sender, we show that its interplay with measurement incompatibility on the receiver's side can mitigate measurement-induced disturbance, thereby enabling an arbitrarily long sequence of receivers to each retain a quantum advantage. Our results show that, even under repeated measurements, the information encoded in a qubit need not be entirely exhausted, revealing a stronger communication feature than previously recognised.

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