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