Relaxation Rate for Single Qubit Decoherence Time

[mehdi86]

hello
i encountered for relaxation term in studing "role of single qubit decoherence time in adiabatic quantum computation":
relaxation rate=n(Mx^2+Mz^2)s(w10);
n=number of qubits
s(w10) is summetrized spectral density ofthe baths
M_x=((1/n)$\sum\(sigma x^{i}_{1,0})^2$))^(1/2)
M_z=((1/n)$\sum\(sigma z^{i}_{1,0})^2$))^(1/2)

where 1,0 is the two lowest states.
whats the origin of relaxation rate equation? can you give me the reference that i know how it gained?

 

[mehdi86]

hello
i encountered for relaxation term in studing "role of single qubit decoherence time in adiabatic quantum computation":
relaxation rate=n(Mx^2+Mz^2)s(w10);
n=number of qubits
s(w10) is symmetrized spectral density of the baths
M_x=((1/n)$\sum (sigma x^{(i)}_{1,0})^2$))^(1/2)
M_z=((1/n)$\sum (sigma z^{(i)}_{1,0})^2$))^(1/2)

and sigma's are the pauli matrices

where 1,0 is the two lowest states.
whats the origin of relaxation rate equation? can you give me the reference that i know how it gained?

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