Quantum Capacity Approaching Codes for the Detected-Jump Channel

Details Quantum Capacity Approaching Codes for the Detected-Jump Channel Quantum Capacity Approaching Codes for the Detected-Jump Channel

2010-08-19

arxiv.org/abs/1008.3350v1

Physical Review A, vol. 82, no. 6, December 2010, 062324

Physics

Quantum Physics

Scientific paper

10.1103/PhysRevA.82.062324

The quantum channel capacity gives the ultimate limit for the rate at which quantum data can be reliably transmitted through a noisy quantum channel. Degradable quantum channels are among the few channels whose quantum capacities are known. Given the quantum capacity of a degradable channel, it remains challenging to find a practical coding scheme which approaches capacity. Here we discuss code designs for the detected-jump channel, a degradable channel with practical relevance describing the physics of spontaneous decay of atoms with detected photon emission. We show that this channel can be used to simulate a binary classical channel with both erasures and bit-flips. The capacity of the simulated classical channel gives a lower bound on the quantum capacity of the detected-jump channel. When the jump probability is small, it almost equals the quantum capacity. Hence using a classical capacity approaching code for the simulated classical channel yields a quantum code which approaches the quantum capacity of the detected-jump channel.

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