Achievable rates for the Gaussian quantum channel

Details Achievable rates for the Gaussian quantum channel Achievable rates for the Gaussian quantum channel

2001-05-13

arxiv.org/abs/quant-ph/0105058v1

Phys. Rev. A 64, 062301 (2001)

Physics

Quantum Physics

12 pages, 4 eps figures, REVTeX

Scientific paper

10.1103/PhysRevA.64.062301

We study the properties of quantum stabilizer codes that embed a finite-dimensional protected code space in an infinite-dimensional Hilbert space. The stabilizer group of such a code is associated with a symplectically integral lattice in the phase space of 2N canonical variables. From the existence of symplectically integral lattices with suitable properties, we infer a lower bound on the quantum capacity of the Gaussian quantum channel that matches the one-shot coherent information optimized over Gaussian input states.

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