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:
“An indirect quotation we can usually expect to rate only as better or worse, more or less faithful, and we cannot even hope for a strict standard of more and less; what is involved is evaluation, relative to special purposes, of an essentially dramatic act.”
—Willard Van Orman Quine (b. 1908)
“But how is one to make a scientist understand that there is something unalterably deranged about differential calculus, quantum theory, or the obscene and so inanely liturgical ordeals of the precession of the equinoxes.”
—Antonin Artaud (1896–1948)
“Science is a dynamic undertaking directed to lowering the degree of the empiricism involved in solving problems; or, if you prefer, science is a process of fabricating a web of interconnected concepts and conceptual schemes arising from experiments and observations and fruitful of further experiments and observations.”
—James Conant (1893–1978)