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:
“A disposition to preserve, and an ability to improve, taken together, would be my standard of a statesman.”
—Edmund Burke (1729–1797)
“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)
“At last a vision has been vouchsafed to us of our life as a whole. We see the bad with the good.... With this vision we approach new affairs. Our duty is to cleanse, to reconsider, to restore, to correct the evil without impairing the good, to purify and humanize every process of our common life, without weakening or sentimentalizing it.”
—Woodrow Wilson (1856–1924)