An achievable rate for private classical information over a quantum broadcast channel

2015 ◽  
Vol 13 (01) ◽  
pp. 1550005
Author(s):  
Alireza Nadem Ghazvini ◽  
Seyed Vahab AL-Din Makki ◽  
Shahpoor Alirezaee
Keyword(s):  
Quantum Channel ◽  
Broadcast Channel ◽  
Achievable Rate ◽  
Classical Information ◽  
Classical Capacity ◽  
Rate Region ◽  
Single User

The rate region for transmission of classical information over a quantum broadcast channel and an inner bound for the rate of transmission of private classical information over a single-user quantum channel have been achieved in the previous paper. In this work, we extended the proofs of them to obtain an achievable private classical capacity for a two receivers quantum broadcast channel.

scholarly journals Compress-and-Forward for Relay Broadcast Channels without Common Messages

2015 ◽  
Vol 15 (2) ◽  
pp. 97-110 ◽  
Author(s):  
Xiaoxia Song ◽  
Yong Li
Keyword(s):  
Relay Node ◽  
Broadcast Channels ◽  
Broadcast Channel ◽  
Achievable Rate ◽  
Decode And Forward ◽  
Rate Region ◽  
Gaussian Channels ◽  
Memoryless Channels ◽  
Peeling Off ◽  
Better Than

Abstract This paper is connected with compress-and-forward strategy for two-user relay broadcast channels without common messages, where the relay node has private messages from the source, in addition to aiding traditional communication from the source to the destination. For this channel we derive two achievable rate regions based on the compress-and-forward strategy in cases of discrete memoryless channels and Gaussian channels, respectively. The numerical results for Gaussian relay broadcast channel show that the inner bound based on the compress-and-forward strategy improves when all the messages without peeling off any components are compressed and sent to the receiver. It also verifies that the inner bound based on compress-and-forward strategy is better than that based on decode-and-forward strategy, when the relay node is near to the sink node. Moreover, the rate region of the broadcast channel improves considerably when the collaboration between the two receivers is allowed. So the relay node can provide residual resources to help the communication between the source and the sink after its communication rate is satisfied, which gives some insights to select an available relay node in a practical communication system.

scholarly journals TWO-WAY QUANTUM COMMUNICATION CHANNELS

2006 ◽  
Vol 04 (01) ◽  
pp. 63-83 ◽  
Author(s):  
ANDREW M. CHILDS ◽  
DEBBIE W. LEUNG ◽  
HOI-KWONG LO
Keyword(s):  
Quantum Channel ◽  
Mechanical Model ◽  
Quantum Communication ◽  
Communication Channels ◽  
Achievable Rate ◽  
Quantum Mechanical ◽  
Quantum Operation ◽  
Quantum Mechanical Model ◽  
Rate Region ◽  
Outer Bounds

We consider communication between two parties using a bipartite quantum operation, which constitutes the most general quantum mechanical model of two-party communication. We primarily focus on the simultaneous forward and backward communication of classical messages. For the case in which the two parties share unlimited prior entanglement, we give inner and outer bounds on the achievable rate region that generalize classical results due to Shannon. In particular, using a protocol of Bennett, Harrow, Leung, and Smolin, we give a one-shot expression in terms of the Holevo information for the entanglement-assisted one-way capacity of a two-way quantum channel. As applications, we rederive two known additivity results for one-way channel capacities: the entanglement-assisted capacity of a general one-way channel, and the unassisted capacity of an entanglement-breaking one-way channel.

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