current interests towards lowering fat content in food products and producing healthier and safer foods, have convinced ice cream manufacturers to substitute milk fat in ice cream with either carbohydrate or protein based fat replacers. in the present work, reduced-fat ice cream (5% fat) was produced using milk protein concentrate (65%) and inulin as fat replacers (0, 2 and 4%) as well as two t...

A complex projective t-design is a configuration of vectors which is “evenly distributed” on a sphere in the sense that sampling uniformly from it reproduces the moments of Haar measure up to order 2t. We show that the set of all n-qubit stabilizer states forms a complex projective 3-design in dimension 2n. Stabilizer states had previously only been known to constitute 2-designs. The main techn...

An element of a group acting on a graph is called invertor if it transfers an edge of the graph to its inverse. In this paper, we show that if G is a group acting on a tree X with inversions such that G does not fix any element of X, then an element g of G is invertor if and only if g is not in any vertex stabilizer of G and g2 is in an edge stabilizer of G. Moreover, if H is a finitely generat...

A subgroup H of a group G is called malnormal in G if it satisfies the condition that if g ∈G and h∈H, h≠ 1 such that ghg−1 ∈H, then g ∈H. In this paper, we show that if G is a group acting on a tree X with inversions such that each edge stabilizer is malnormal in G, then the centralizer C(g) of each nontrivial element g of G is in a vertex stabilizer if g is in that vertex stabilizer. If g is ...

In this Section we state some facts concerning stabilizer groups and stabilizer states. Let Pn be the n-qubit Pauli group. Any element of Pn has the form iP1⊗ · · · ⊗Pn, where each factor Pa is either the identity or a singlequbit Pauli operator X,Y, Z and m ∈ Z4. An abelian subgroup G ⊆ Pn is called a stabilizer group if −I / ∈ G. Each stabilizer group has the form G = 〈G1, . . . , Gr〉 for som...

a multi objective honey bee mating optimization (hbmo) designed by online learning mechanism is proposed in this paper to optimize the double fuzzy-lead-lag (fll) stabilizer parameters in order to improve low-frequency oscillations in a multi machine power system. the proposed double fll stabilizer consists of a low pass filter and two fuzzy logic controllers whose parameters can be set by the ...

A multi objective Honey Bee Mating Optimization (HBMO) designed by online learning mechanism is proposed in this paper to optimize the double Fuzzy-Lead-Lag (FLL) stabilizer parameters in order to improve low-frequency oscillations in a multi machine power system. The proposed double FLL stabilizer consists of a low pass filter and two fuzzy logic controllers whose parameters can be set by the ...

This paper presents a systematic approach for the design of power system stabilizer using genetic algorithm and investigates the robustness of the GA based PSS. The proposed approach employs GA search for optimal setting of PSS parameters. The performance of the proposed GPSS under small and large disturbances, loading conditions and system parameters is tested. The eigenvalue analysis and nonl...

How entangled is a randomly chosen bipartite stabilizer state? We show that if the number of qubits each party holds is large, the state will be close to maximally entangled with probability exponentially close to 1. We provide a similar tight characterization of the entanglement present in the maximally mixed state of a randomly chosen stabilizer code. Finally, we show that typically very few ...