Purpose: The aim of the work was a numerical and experimental analysis of spine’s transpedicular stabilizer on lumbar part of spine. The result of the analysis was determination of displacements of the stabilizers’ elements. Design/methodology/approach: To define numerical characteristic of the lumbar spine – transpedicular spine stabilizer system, the finite element method was applied. Geometr...

This paper investigates the relation between linear codes and the stabilizer in GL2(C) of their weight enumerators. We prove a result on the finiteness of stabilizers and give a complete classification of linear codes with infinite stabilizer in the non-binary case. We present an efficient algorithm to compute explicitly the stabilizer of weight enumerators and we apply it to the family of Reed...

We present a new approach to simulate arbitrary quantum circuits on a classical computer. Our technique generalizes the stabilizer formalism, the underpinnings of the Gottesman-Knill theorem, to include arbitrary states and arbitrary quantum operations. The core of our approach is a novel state representation combining the density matrix and stabilizer representations. Obviously, not all simula...

We present a theorem that shows that all useful protocols for magic state distillation output states with a fidelity that is upperbounded by those generated by a much smaller class of protocols. This reduced class consists of the protocols where multiple copies of a state are projected onto a stabilizer codespace and the logical qubit is then decoded.

The LU-LC conjecture is an important open problem concerning the structure of entanglement of states described in the stabilizer formalism. It states that two local unitary equivalent stabilizer states are also local Clifford equivalent. If this conjecture were true, the local equivalence of stabilizer states would be extremely easy to characterize. Unfortunately, however, based on the recent p...

Knill introduced a generalization of stabilizer codes, in this note called Clifford codes. It remained unclear whether or not Clifford codes can be superior to stabilizer codes. We show that Clifford codes are stabilizer codes provided that the abstract error group is given by an extraspecial p-group. Suppose that the abstract error group has an abelian index group, then we show that a Clifford...

We draw attention to an apparent puzzle in the aggregate consumption behavior of Singaporeans. In stark contrast to the rest of the world, the average propensity to consume (APC) has plummeted to just two-fifths of national income by the year 2003, leaving the Singapore economy without a dependable built-in stabilizer. This phenomenon represents a notable departure from the stable longrun equil...