The unitary operator theory was developed under Berwind Natural Resources Corp.
The unitary operator test established these factors:
Then T is compact if and only if for every unitary operator
[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] tends to 0 whenever [lambda] tends to the boundary points of [partial derivative][OMEGA].
If we think of the measurement as dictated by Schroedinger's equation, then we should have a unitary operator
Furthermore, because any unitary operator
on d qubits can be factored into a product of two-level unitary operators
on d qubits (Deutsch et al.
This is based on the Hadamard transformation, a unitary operator
t] is a unitary operator
defined on the tensor product H [cross product] [GAMMA]([L.
n] is a unitary operator
F such that the linear functionals [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] do not define bounded linear functionals.
And because any unitary operator
has a reverse operator, it implies that quantum circuits are reversible.
Let [pi] : G [right arrow] B(H) be a projective, unitary representation of the group G into the unitary operators
on the Hilbert space H.
Motivated by the works of Mustari and Taylor [15,17], we have recently begun to study the mean ergodic theorem under the framework of RN modules  to obtain the mean ergodic theorem in the sense of convergence in probability, where we proved the mean ergodic theorem for a strongly continuous semigroup of random unitary operators
defined on complete random inner product modules (briefly, complete RIP modules).
He explains vector spaces and bases, linear transformations and operators, eigenvalues, circles and ellipses, inner products, adjoints, Hermitian operators, unitary operators
, the wave equation, continuous spectre and the Dirac delta function, Fourier transforms, Green's and functions, and includes an appendix on matrix operations (new to this edition) and a full chapter on crucial applications.