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In some sense this is obvious, given the belief in the universal character of quantum mechanics, and the observation that any quantum computation that is diagonal in the computational basis, i.e., involves no interference between the qubits, is effectively classical.
Considering computational schemes which require no measurements and hence evolve by unitary dynamics for the global system, we show that when employing an ancilla qubit there are certain fixed-time ancilla-register interactions which, along with ancilla initialisation in the computational basis, are universal for quantum computation with no additional control of either the ancilla or the register.
Therefore, under the assumption that u 0 and u 1 are universal for S U ( 2 ), we have shown that K, along with ancillas prepared in the computational basis, can implement a minimal control model of ancilla-mediated quantum computation.
In this model, the computation can be achieved using a fixed interaction and ancilla measurement in the computational basis alone.
The anatomical and computational basis of the rat head-direction cell signal.
Hickok, G., Houde, J. & Rong, F. Sensorimotor integration in speech processing: computational basis and neural organization.
The ground state |0 and the first excited state |1 are usually chosen as the computational basis states of the phase qubit.
The development and neural substrates of mentalizing are well-studied, but its computational basis is only beginning to be probed.
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The drawbacks of AMO bases are computational: the basis computation is more expensive, the basis vectors require storage space and no fast transform is known.
Specifically, we show that for a given computational budget, basis selection produces a more accurate PCE than would be obtained if the basis were fixed a priori.
Topics covered include mathematical statistics and probability theory as a methodological basis, computational statistics and statistical software as an instrumental basis, and comprehensive applied components in economics, sociology, demography, medicine, natural sciences, and technology.
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