期刊
IEEE TRANSACTIONS ON INFORMATION THEORY
卷 64, 期 3, 页码 1454-1460出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TIT.2018.2794391
关键词
Classical communication; Quantum channel; Entanglement-assisted zero-error capacity; Lovasz number; non-commutative graph theory
资金
- Australian Research Council [DP120103776, FT120100449]
- Australian Research Council [FT120100449] Funding Source: Australian Research Council
Quantum Lovasz number is a quantum generalization of the Lovasz number in graph theory. It is the best known efficiently computable upper bound of the entanglement-assisted zero-error classical capacity of a quantum channel. However, it remains an intriguing open problem whether quantum entanglement can always enhance the zero-error capacity to achieve the quantum Lovasz number. In this paper, by constructing a particular class of qutrit-to-qutrit channels, we show that there exists a strict gap between the entanglement-assisted zero-error capacity and the quantum Lovasz number. Interestingly, for this class of quantum channels, the quantum generalization of fractional packing number is strictly larger than the zero-error capacity assisted with feedback or no-signaling correlations, which differs from the case of classical channels.
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