| 21. | An immediate consequence of ( weak ) continuity is that the identity component is represented by unitary operators.
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| 22. | The resulting unitary operator " U " then yields the polar decomposition of " A ".
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| 23. | More precisely, the operator which describes the progress of a physical system in time must be a unitary operator.
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| 24. | For this system the relevant group is SU ( 2 ) which is the group of all 2x2 unitary operators.
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| 25. | How do we calculate the complexity of a step in a quantum algorithm that apply unitary operator on the qubits?
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| 26. | Then there is a measure space and a real-valued essentially bounded measurable function on and a unitary operator such that
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| 27. | Another important case is seen in functional analysis, with G being the group of unitary operators on a Hilbert space.
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| 28. | Suppose { U _ k } is your unitary design ( i . e . a set of unitary operators ).
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| 29. | This implies the usual spectral theorem : every normal operator on a finite-dimensional space is diagonalizable by a unitary operator.
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| 30. | Phase estimation is used to transform the Hermitian matrix A into a unitary operator, which can then be applied at will.
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