We propose and analyze a new approach based on quantum error correction (QEC) to improve quantum metrology in the presence of noise. We identify the conditions under which QEC allows one to improve the signal-to-noise ratio in quantum-limited measurements, and we demonstrate that it enables, in certain situations, Heisenberg-limited sensitivity. We discuss specific applications to nanoscale sen...

We establish several relations between quantum error correction (QEC) and tensor network (TN) methods of quantum many-body physics. We exhibit correspondences between well-known families of QEC codes and TNs, and demonstrate a formal equivalence between decoding a QEC code and contracting a TN. We build on this equivalence to propose a new family of quantum codes and decoding algorithms that ge...

Excessive self-concern increases perceptions of threat and defensiveness. In contrast, fostering a more inclusive and expanded sense of self can reduce stress and improve well-being. We developed and tested a novel brief intervention designed to strengthen a student's compassionate self-identity, an identity that values balance and growth by reminding them of four quiet ego characteristics: det...

Several observational methods are available for ergonomists to evaluate the exposure to musculoskeletal disorder (MSD) risk factors associated with work. Those methods can be used to evaluate the impact of modifications done at a workstation on the exposure to risk factors. Three methods (QEC, OCRA and 4D Watbak) were used to assess the exposure to MSD risk factors before and after the implemen...

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...

BACKGROUND During the last decades, to assess the risk factors of work-related musculoskeletal disorders (WMSDs), enormous observational methods have been developed. Rapid Entire Body Assessment (REBA) and Quick Exposure Check (QEC) are two general methods in this field. This study aimed to compare ergonomic risk assessment outputs from QEC and REBA in terms of agreement in distribution of post...

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...

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...