unitary operator sentence in Hindi
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- An immediate consequence of ( weak ) continuity is that the identity component is represented by unitary operators.
- The resulting unitary operator " U " then yields the polar decomposition of " A ".
- More precisely, the operator which describes the progress of a physical system in time must be a unitary operator.
- For this system the relevant group is SU ( 2 ) which is the group of all 2x2 unitary operators.
- How do we calculate the complexity of a step in a quantum algorithm that apply unitary operator on the qubits?
- Then there is a measure space and a real-valued essentially bounded measurable function on and a unitary operator such that
- Another important case is seen in functional analysis, with G being the group of unitary operators on a Hilbert space.
- Suppose { U _ k } is your unitary design ( i . e . a set of unitary operators ).
- This implies the usual spectral theorem : every normal operator on a finite-dimensional space is diagonalizable by a unitary operator.
- Phase estimation is used to transform the Hermitian matrix A into a unitary operator, which can then be applied at will.
- Plancherel's theorem makes it possible to extend the Fourier transform, by a continuity argument, to a unitary operator on.
- Every antiunitary operator can be written as the product of the time reversal operator and a unitary operator that does not reverse time.
- This version of the spectral theorem for self-adjoint operators can be proved by reduction to the spectral theorem for unitary operators.
- In other words, for any two such and acting jointly irreducibly on a Hilbert space, there is a unitary operator so that
- In general, a partial isometry may not be extendable to a unitary operator and therefore a quasinormal operator need not be normal.
- When the Hamiltonian is time-independent the unitary operator is e ^ {-i \ hat { H } t }.
- Unitary operators correspond to state changes without any wave function collapse . talk ) 21 : 32, 8 October 2008 ( UTC)
- Unitary operators preserve inner products which means probabilities are also preserved, so the quantum mechanics of the system is invariant under unitary transformations.
- Different ensembles describing the state " ? " are related by unitary operators, via the square roots of " ? ".
- Bundle P over M, where PU ( \ mathcal H ) is the group of projective unitary operators on the Hilbert space \ mathcal H.
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