In quantum information theory, mutually unbiased bases in Hilbert space Cd are two orthonormal bases and such that the square of the magnitude of the inner product between any basis states and equals the inverse of the dimension d:
These bases are unbiased in the following sense: if a system is prepared in a state belonging to one of the bases, then all outcomes of the measurement with respect to the other basis will occur with equal probabilities.
Read more about Mutually Unbiased Bases: Overview, Existence Problem, The Problem of Finding A Maximal Set of MUBs When d = 6, Entropic Uncertainty Relations and MUBs, Mutually Unbiased Bases in Infinite Dimension Hilbert Spaces
Famous quotes containing the words mutually, unbiased and/or bases:
“Our rural village life was a purifying, uplifting influence that fortified us against the later impacts of urbanization; Church and State, because they were separated and friendly, had spiritual and ethical standards that were mutually enriching; freedom and discipline, individualism and collectivity, nature and nurture in their interaction promised an ever stronger democracy. I have no illusions that those simpler, happier days can be resurrected.”
—Agnes E. Meyer (1887–1970)
“There is not a more disgusting spectacle under the sun than our subserviency to British criticism. It is disgusting, first, because it is truckling, servile, pusillanimous—secondly, because of its gross irrationality. We know the British to bear us little but ill will—we know that, in no case do they utter unbiased opinions of American books ... we know all this, and yet, day after day, submit our necks to the degrading yoke of the crudest opinion that emanates from the fatherland.”
—Edgar Allan Poe (1809–1845)
“The bases for historical knowledge are not empirical facts but written texts, even if these texts masquerade in the guise of wars or revolutions.”
—Paul Deman (1919–1983)