Sentence examples for given unitary from inspiring English sources

By introducing new variables for expressing the power constraint, an optimal power allocation algorithm for given unitary matrix and an optimal unitary matrix update procedure are developed.

The software package Qcompiler (Chen and Wang 2013) provides a general quantum compilation framework, which maps any given unitary operation into a quantum circuit consisting of a sequential set of elementary quantum gates.

In this paper, we present an extended software OptQC, which finds permutation matrices P and Q for a given unitary matrix U such that the number of gates in the quantum circuit of U= QTPTU′PQ is significantly reduced, where U′ is equivalent to U up to a permutation and the quantum circuit implementation of each matrix component is considered separately.

This methodology is used for designing pulse sequences that maximize the coherence transfer between coupled spins in a given specified time, minimize the relaxation effects in a given coherence transfer step or minimize the time required to produce a given unitary propagator, as desired.

Our main subject in this paper concerns the existence of certain quasi-invariant measures on groups of diffeomorphisms, and the denseness of C∞-vectors for a given unitary representation U of Diff*0(M), the connected component of the identity in Diff0(M).

Two given irreducible unitary representations ((mathcal{H}_{1}, T_{1})) and ((mathcal{H}_{2}, T_{2})) are equivalent if there is a unitary map U from (mathcal{H}_{1}) to (mathcal{H}_{2}) such that (UT_{1}(g)) and (T_{2}(g) U) coincide for every (g in G).

The important observation is that a collection of k parallel delays can be commuted with a given a unitary component U of k ports.

This can be a significant advantage, given that unitary evolutions associated with Hamiltonians of the kind σ x 1 σ x j can be done in trapped ions with resonant gates [34, 35], saving orders of magnitude in the gate time with respect to dispersive gates like the MS gate.

Given the unitary signal S t) and the number of cells N, it is therefore possible to compute theoretically the expected signal C t).

A second strategy forsakes the project of giving a unitary theory of well-being, recognizing instead a family of two or more kinds of prudential value.

Since truncated unitary matrix Q in coordinated approach is constructed using the eigenvectors in U, which correspond to non-zero eigenvalues, V ‡  U gives new unitary matrix V ~ and has the following structure.