scholarly journals Efficient Accessible Bounds to the Classical Capacity of Quantum Channels

2019 ◽  
Vol 123 (9) ◽  
Author(s):  
Chiara Macchiavello ◽  
Massimiliano F. Sacchi
Keyword(s):  
Quantum Channels ◽  
Classical Capacity

scholarly journals Equivalence Relations for the Classical Capacity of Single-Mode Gaussian Quantum Channels

2013 ◽  
Vol 111 (3) ◽  
Author(s):  
Joachim Schäfer ◽  
Evgueni Karpov ◽  
Raúl García-Patrón ◽  
Oleg V. Pilyavets ◽  
Nicolas J. Cerf
Keyword(s):  
Single Mode ◽  
Equivalence Relations ◽  
Quantum Channels ◽  
Classical Capacity

scholarly journals On the one-shot zero-error classical capacity of classical-quantum channels assisted by quantum non-signalling correlations

2017 ◽  
Vol 17 (5&6) ◽  
pp. 380-398
Author(s):  
Ching-Yi Lai ◽  
Runyao Duan
Keyword(s):  
Quantum Channel ◽  
Quantum Communication ◽  
Semidefinite Program ◽  
Circulant Graph ◽  
Quantum Channels ◽  
Kraus Operator ◽  
Cyclotomic Cosets ◽  
Classical Capacity ◽  
Classical Quantum ◽  
The One

Duan and Winter studied the one-shot zero-error classical capacity of a quantum channel assisted by quantum non-signalling correlations, and formulated this problem as a semidefinite program depending only on the Kraus operator space of the channel. For the class of classical-quantum channels, they showed that the asymptotic zero-error classical capacity assisted by quantum non-signalling correlations, minimized over all classicalquantum channels with a confusability graph G, is exactly log ϑ(G), where ϑ(G) is the celebrated Lov´asz theta function. In this paper, we show that the one-shot capacity for a classical-quantum channel, induced from a circulant graph G defined by equal-sized cyclotomic cosets, is logbϑ(G)c, which further implies that its asymptotic capacity is log ϑ(G). This type of graphs include the cycle graphs of odd length, the Paley graphs of prime vertices, and the cubit residue graphs of prime vertices. Examples of other graphs are also discussed. This gives Lov´asz ϑ function another operational meaning in zero-error classical-quantum communication.

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