Standard Quantum Process Tomography
SQPT approaches this using linearly independent inputs, where is the dimension of the Hilbert space . For each of these input states, sending it through the process gives an output state which can be written as a linear combination of the, i.e. . By sending each through many times, quantum state tomography can be used to determine the coefficients experimentally.
Write
- ,
where is a matrix of coefficients. Then
- .
Since form a linearly independent basis,
- .
Inverting gives :
- .
Read more about this topic: Quantum Tomography, Quantum Process Tomography
Famous quotes containing the words standard, quantum and/or process:
“The art of advertisement, after the American manner, has introduced into all our life such a lavish use of superlatives, that no standard of value whatever is intact.”
—Wyndham Lewis (1882–1957)
“A personality is an indefinite quantum of traits which is subject to constant flux, change, and growth from the birth of the individual in the world to his death. A character, on the other hand, is a fixed and definite quantum of traits which, though it may be interpreted with slight differences from age to age and actor to actor, is nevertheless in its essentials forever fixed.”
—Hubert C. Heffner (1901–1985)
“We are in the process of creating what deserves to be called the idiot culture. Not an idiot sub-culture, which every society has bubbling beneath the surface and which can provide harmless fun; but the culture itself. For the first time, the weird and the stupid and the coarse are becoming our cultural norm, even our cultural ideal.”
—Carl Bernstein (b. 1944)