A frustration-free local Hamiltonian has the property that its ground state minimises the energy of all local terms simultaneously. In general, even deciding whether a Hamiltonian is frustration-free is a hard task, as it is closely related to the QMA1-complete quantum satisfiability problem (QSAT) – the quantum analogue of SAT, which is the archetypal NP-complete problem in classical computer ...

In this letter we have pointed out that frustration in spin glass is realized through the Berry phase due to the conflict between the spin ordering in the course of parallel transport of spinor. We have came to the point that the Berry phase depicting the chiral change of helicity of a quantized spinor is prominent only in the presence of frustration.

The smallest number of edges that have to be deleted from a graph to obtain a bipartite spanning subgraph is called the bipartite edge frustration of G and denoted by φ(G). In this paper we determine the bipartite edge frustration of some classes of composite graphs. © 2010 Elsevier B.V. All rights reserved.

Thwarting of feeding behaviour in the laying hen results in an increase in stereotyped pacing, displacement preening, and the gakel-call. These behaviours therefore reflect the frustration arousal caused by the thwarting of feeding behaviour. This raises the question whether the level of frustration also varies with the intensity of the motivation to perform the thwarted behaviour. This study i...

In this paper, we study the emergent discrete-time dynamics of Kuramoto model with frustration. For discrete identical frustration, present exponential synchronization estimate for some admissible classes initial configuration confined in a half circle. nonidentical oscillators, exploit second-order lifting original frustration and behaviors corresponding augmented model. More precisely, under ...

We know how important our profession is. Yet we are often frustrated in trying to communicate its significance to our bosses, our board chairs, our funders, the not-for-profit and government community and, even, our families and friends. How we cringe when someone says, "we ought to start a volunteer program" and turns to someone on staff and says, "in your spare time, won't you look after the ...

This article addresses under-acknowledged barriers of structural violence and discrimination that interfere with women's capacity to realize their human rights generally, and their right to adequate food and nutrition in particular. Case studies from Georgia and South Africa illustrate the need for a human rights-based approach to food and nutrition security that prioritizes non-discrimination,...

itself. The multicentre research ethics committee system was set up to deal with such procedural difficulties. Improvements in the system have occurred. However, local research ethics committees have been reluctant to abandon their autonomy sufficiently to allow efficient functioning of this system, and this has been identified as a potential reason for continuing concerns about the new system....

We investigate the Mott transition in the kagomé lattice Hubbard model using a cluster extension of dynamical mean field theory. The calculation of the double occupancy, the density of states, and the static and dynamical spin correlation functions demonstrates that the system undergoes the first-order Mott transition at the Hubbard interaction U/W approximately 1.4 (W:bandwidth). In the metall...

The frustrations of relationships and of work are at the root of much illness in today’s society. Technology cannot do much more to relieve them; it cannot tell people who to love, what to think, where to go, or what to do for a living. So medicine, which remedies the suffering which results from such decisions, needs additional partners to modify behaviour harmful to health. To find these part...