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Generalized Amplitude-Damping Channel

A generalized amplitude-damping channel is a quantum channel on a qubit that relaxes its excited-state population toward a specified thermal value. For damping strength gamma in [0,1] and stationary excited population nu in [0,1], it acts by

A_(gamma,nu)([1-q z; z^_ q])=[1-t sqrt(1-gamma)z; sqrt(1-gamma)z^_ t],

where t=(1-gamma)q+gammanu. The input density matrix requires 0<=q<=1 and |z|^2<=q(1-q). At gamma=0 the map is the identity; at gamma=1 the output is the fixed diagonal state with population nu.

See also

Density Matrix, Holevo Capacity, Quantum Channel, Qubit, von Neumann Entropy

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References

Khatri, S.; Sharma, K.; and Wilde, M. M. "Information-Theoretic Aspects of the Generalized Amplitude Damping Channel." Phys. Rev. A 102, 012401, 2020. https://doi.org/10.1103/PhysRevA.102.012401.

Cite this as:

Weisstein, Eric W. "Generalized Amplitude-Damping Channel." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/GeneralizedAmplitude-DampingChannel.html

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