Sentence examples for of the vert from inspiring English sources

The dynamics for the remaining two-qubit basis states are similar to those of the (vert 00 rangle) state in Figure 1.

The dynamics of the (vert 00 rangle) state under the optimized pulse are shown in panels (e - h) of Figure - h

The dynamics resulting from the propagation of the (vert 00 rangle) state under the pulse obtained from optimization with the (J_{T}^{mathrm {sm}}) functional is shown in panels (e - h) of Figure - h

The input: An undirected graph (mathcal {G}~=~(mathcal {V},mathcal {E})) and an undirected graph (bar {mathcal {G}}~=~(mathcal {E},bar {mathcal {E}})), where each of the (vert mathcal {E} vert ) vertices of (bar {mathcal {G}}) belongs uniquely to one edge (ein mathcal {E}) in (mathcal {G}).

Inset: small p regime, in which (F_{pm} sim1 - 4p). unintentional preparation of the (vert 1 rangle) state on the ancilla qubit, insertion of a random one-qubit Pauli operator (X, Y, or Z) after a memory operation with probability (frac {1}{3}), insertion of a random two-qubit Pauli operator (IX, IY, …, ZZ) after a CNOT operation with probability (frac {1}{15}), and.

The project benefited from a Marie Curie Host Fellowship for Early Stage Research Training EUU program) in the frame of the VERT project.

In this paper, we shall consider the inequality of the form Vert Ax Vert _{p,w,c}le U Vert x Vert _{p,w}, and the inequality of the form Vert Ax Vert _{p,w}le U Vert x Vert _{p,w,c}, where (x=(x_{n})) is a non-negative sequence.

The dual norm of the norm (Vert cdot Vert _{p}) is given by Vert yVert ^_{p}=max bigl Vert yVert _{infty }, Vert yVert _{1}/p bigr).

Using the compact embedding (Xhookrightarrow L^{q}(mathbb{R}^{N})), we have Vert uVert _{q}=lim_{ntoinfty} Vert u_{n}Vert _{q} quadtext{and} quad Vert uVert leq liminf_{ntoinfty} Vert u_{n}Vert (3.8) by the weak lower semicontinuity of the norm (Vert cdot Vert ).

It follows from the definition of the norm (Vert cdot Vert _{(beta,mu)}).

M being the null space of the operator (vert Bvert^{2}-Vert AVert ^{2}) is a closed subspace of (mathcal{H} ).