Upper Bounds on the Quantum Capacity of Some Two-Qubit Channels

Details Upper Bounds on the Quantum Capacity of Some Two-Qubit Channels Upper Bounds on the Quantum Capacity of Some Two-Qubit Channels

2011-06-12

arxiv.org/abs/1106.2337v4

Physics

Quantum Physics

24 pages, 0 figures, single column. Paper is completely reorganized from the previous version. More technical details included

Scientific paper

Evaluating the quantum capacity of the quantum channels is an important but difficult problem, even for channels of low input and output dimension. For example, depolarizing channels are important quantum channels, but do not have tight numerical bounds. We prove upper bounds on the quantum capacity of our two-qubit degradable amplitude damping channels and its twirled counterparts, such as two-qubit Pauli channels and four dimension depolarizing channels. Exploiting the notion of covariance of quantum channels, we study the structure of our two-qubit degradable amplitude damping channels, and show that their quantum capacity is equivalent to the optimal value of a concave program with linear constraints.

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