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The first experiments were conducted on sets of unitary matrices described as 16-element binary series as in (11).
We relate the distribution characters and the wave front sets of unitary representation for real reductive dual pairs of type I in the stable range.
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The constellation of proposed scheme consists of a set of unitary matrices, hence, the name unitary space-time modulation.
(Note that Shor's algorithm, for example, involves three major steps in this context: First, one creates the 'clever' entangled state with a set of unitary transformations.
This paper proposes methods to construct Z-complementary sets based on a set of sequences with PAZCZ which is a set of unitary sequences.
A complete set of unitary invariants, which are somewhat more tractable than those of an arbitrary operator in the Cowen Douglas class, is obtained.
Let U ( A ) be the set of unitary elements in A. We investigate C ∗ -algebra isomorphisms in unital multi- C ∗ -algebras.
Moreover, their mathematical structure and the fact that the time discretization is realized by a set of unitary transformations makes the link to QW's possible.
The most general set of unitary transformations generated by L d is given as the block-diagonal decomposition SU ( 2 d − 1 ) ⊕ SU ( 2 d − 1 ).
Let ({U_1,dots,U_N}) be any set of unitary matrices that commute with X and Y. Then for each (j=1,dots,n), (mathrm{Tr}[ Y U_j*QU_j)] = mathrm{Tr}[YQ]).
Algorithms represented by this model consist of a set of unitary operators acting over a finite Hilbert space, and a final measurement step consisting of a set of projectors.
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