Classical feedback for quantum channels

2004/09/29 by Andrew Skeen, Skeen, Andrew
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0409207

replaced incorrect definition of directed information and resulting minor changes to proofs

openalex publication_date 2004/09/29 · arxiv created 2004/11/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate whether the use of a noiseless, classical feedback channel will increase the capacity of a quantum discrete memoryless channel to transmit classical information. This problem has been previously analyzed by Bowen and Nagarajan for the case of protocols restricted to product input states. They showed that feedback did not increase the information capacity. In this paper we introduce a quantum analogue of classical causality and prove a capacity theorem (in regularized form) for the transmission of classical information.

Citations

• Coding Theorems of Quantum Information Theory
• Inequalities and separations among assisted capacities of quantum channels

Related

• Some Effects of Classical Feedback on the Classical Capacity of a Memoryless Quantum Channel
• On Feedback and the Classical Capacity of a Noisy Quantum Channel
• Inequalities and separations among assisted capacities of quantum channels
• Classical Feedback in a Quantum Network
• Activated zero-error classical communication over quantum channels assisted with quantum no-signalling correlations