Quantum error correction (QEC) is one of the central concepts in quantum information science and also has wide applications fundamental physics. The capacity theorems provide solid foundations QEC. We here a general highly applicable form theorem for both classical information, i.e., hybrid with assistance limited resource entanglement one-shot scenario, which covers broader situations than exi...

We demonstrate that there exists a universal, near-optimal recovery map—the transpose channel—for approximate quantum error-correcting codes, where optimality is defined using the worst-case fidelity. Using the transpose channel, we provide an alternative interpretation of the standard quantum error correction (QEC) conditions and generalize them to a set of conditions for approximate QEC (AQEC...

We analyze the long time behavior of a quantum computer running a quantum error correction (QEC) code in the presence of a correlated environment. Starting from a Hamiltonian formulation of realistic noise models, and assuming that QEC is indeed possible, we find formal expressions for the probability of a given syndrome history and the associated residual decoherence encoded in the reduced den...

Quasi extended Chebyshev spaces (QEC-spaces for short) represent the largest class of spaces of sufficient regularity which are suitable for design [1]. In particular, they contain the well-known extended Chebyshev spaces as a special instance (and therefore can represent transcendental functions) as well as the so called variable degree polynomial spaces [2], that are very effective in handlin...

Abstract The unique features of quantum theory offer a powerful new paradigm for information processing. Translating these mathematical abstractions into useful algorithms and applications requires systems with significant complexity sufficiently low error rates. Such must be made from robust hardware that can coherently store, process, extract the encoded information, as well possess effective...

A recent Penning-trap measurement of the masses of V and Ti leads to a QEC value that disagrees significantly with the previously accepted value, and destroys overall consistency among the nine most precisely characterized T = 1 superallowed β emitters. This raises the possibility of a systematic discrepancy between Penning-trap measurements and the reaction-based measurements upon which the QE...

The task of preserving entanglement against noises is crucial importance for both quantum communication and information transfer. To this aim, error correction (QEC) codes may be employed to compensate, at least partially, the detriments induced by environmental noise that can modelled as a bit-flip or phase-flip channel. In paper we investigate effects simple three-qubit QEC restore nonlocalit...

We analyze the long-time behavior of a quantum computer running a quantum error correction QEC code in the presence of a correlated environment. Starting from a Hamiltonian formulation of realistic noise models, and assuming that QEC is indeed possible, we find formal expressions for the probability of a given syndrome history and the associated residual decoherence encoded in the reduced densi...

One of the most frequent professional afflictions in Conservators-Restorers is onset work-related musculoskeletal disorders (WMSDs). The conservation textiles recognizably vulnerable to these problems. However, assessments ergonomic conditions for workers are rare or even non-existing. present study focuses on a group conservators-restorers and relies use Nordic Questionnaire coupled with Quick...

The quantum computing devices of today have tens to hundreds qubits that are highly susceptible noise due unwanted interactions with their environment. theory error correction provides a scheme by which the effects such on states can be mitigated, paving way for realising robust, scalable computers. In this article we survey current landscape correcting (QEC) codes, focusing recent theoretical ...