The QE constant of a finite connected graph $G$, denoted by $\mathrm{QEC}(G)$, is definition the maximum quadratic function associated to distance matrix on certain sphere codimension two. We prove that constants paths $P_n$ form strictly increasing sequence converging $-1/2$. Then we formulate problem determining all graphs $G$ satisfying $\mathrm{QEC}(P_n)\le\mathrm{QEC}(G)<\mathrm{QEC}(P_{n+...

A decoherence-free subspace (DFS) is an important class of quantum-error-correcting (QEC) codes that have been proposed for fault-tolerant quantum computation. The applications of QEC techniques, however, are not limited to quantum-information processing (QIP). Here we demonstrate how QEC codes may be used to improve experimental designs of quantum devices to achieve noise suppression. In parti...

Abstract The quadratic embedding (QE) class of the connected graph G = ( V , E ) is determined based on its constant (QEC) distance matrix . a conditionally definite negative, or equivalently if it admits in Hilbert space, QEC non-positive. In this study, classification for hairy cycle graphs such as bearded BC k,m k even, (3, m and broken sun (4, will be calculated, we derive formulae QEC. The...

The lifting and carrying of loads in agriculture on small landholdings are unavoidable. Rural communities often lack access to appropriate technologies which may result in various health hazards. The objective was to study gender participation in agricultural activities involving manual material handling tasks, to assess MSDs experienced in various MMH tasks and to evaluate traditional method a...

The so called quick check (henceforth QC) preunification filter for feature structure (FS) unification was introduced by (Kiefer et al., 1999). QC is considered the most important speed-up technique in the framework of non-compiled FS unification. We present two potential ways in which the design of the quick check can be further extended: consistency sort check on coreferenced paths, and preun...

We present several significant improvements in the implementation of the quick check pre-unification filter [7] [10], and the potential way in which the design of the quick check [15] [17] can be further extended. We analyse the effect of these extensions on LinGO, the large-scale HPSG grammar for English[14]. Althought these developments were done for the compiler system LIGHT [8], most of the...

Large-scale universal quantum computing requires the implementation of quantum error correction (QEC). While the implementation of QEC has already been demonstrated for quantum memories, reliable quantum computing requires also the application of nontrivial logical gate operations to the encoded qubits. Here, we present examples of such operations by implementing, in addition to the identity op...

Citation Zhang, Jingfu et al. " Experimental Quantum Error Correction with High Fidelity. Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. More than ten years ago a...