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- W2964137875 abstract "Precise and reliable control of the system constituting a quantum information processor QIP remains one of the biggest challenges in the quantum information field. In order to assess the reliability of a device and to tailor quantum error correction schemes to a faulty one, we need to characterize the errors occurring in the system. Quantum process tomography QPT 1 presented a first answer to this problem, providing full characterization of the process under analysis. Experimental implementations of QPT have been already conducted in a variety of small systems 2–5 . Nevertheless, QPT becomes impractical beyond a few qubits, as it requires O 24n experiments for a system of n qubits. In recent years, the idea of getting less information at a lower cost has become a popular strategy in tackling error characterization, and several works have been devoted to the subject 6–12 . Our proposal fits in this context, providing a subset of information yet still using scalable resources. The scheme we present selectively keeps information about the spatial correlations of the errors occurring in the process under study a gate, a noisy channel, etc. . Both the magnitude and the structure of the errors are relevant to evaluate fault-tolerance. In particular, fault-tolerance threshold theorems are designed for certain conditions of spatial correlation also termed range or locality 13 . So even when it is experimentally determined that only up to w qubits are involved in an error process, we have to further establish in which way the n w possible sets are being affected. We have implemented our protocol in a liquid state NMR four-qubit QIP. The core mathematical work for this protocol was introduced in 7 . Here we extend our proposal to a more general setting and include an experimental realization. Our basic method, like others proposed 1,6–8,10,11 , assumed error-free implementation stages. This idea is of course unrealistic in practice, and implementation errors complicate the task of reliable error characterization. Thus here we have included an analysis of their effect." @default.
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- W2964137875 date "2009-04-01" @default.
- W2964137875 modified "2023-09-26" @default.
- W2964137875 title "Error characterization in quantum information processing: A protocol for analyzing spatial correlations and its experimental implementation" @default.
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