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Quantum Error Correcting Codes Associated With Graphs

This allows us to determine the effect of the MBQC information transfer process on the original qubit due to imperfections in the experimental graph resource. All rights reserved. Quantum computing with realistically noisy devices. The visibility of this antidip provides a value that can be used to quantify the indistinguishability of the signal photons. http://caribtechsxm.com/quantum-error/quantum-computation-quantum-error-correcting-codes-and-information-theory.php

Scalable quantum computers require a far-reaching theory of fault-tolerant quantum computation. G. Graph codes are based on the stabilizer formalism and are thus relevant for both MBQC and the original circuit model.In this work, we report the experimental demonstration of a quantum error-correcting Lidar, Todd A. http://arxiv.org/abs/quant-ph/0012111

et al. Opt. Here, the signal photons are each split into two paths using PBSs, so that the path they take is correlated with their polarization, and the transmitted and reflected paths, p1 and J., Browne, D.

  1. The next steps will be to design and realize QECC schemes using larger graph states45,46,47 with enhanced error-correction capabilities70, and introduce concatenation methods against loss errors68,69,70.
  2. Similar arguments about the stabilizers hold for Y errors, as shown in Fig. 4b with the experimental values measured for the probe states.
  3. Accel.
  4. Fault-tolerant quantum computation with high threshold in two dimensions.
  5. Express 17, 4670–4676 (2009).ISICASPubMedArticle63.Browne, D.
  6. This means the signal-idler pair are generated almost without spectral correlations in a pure quantum state, and do not require tight spectral filtering to show quantum interference.To generate entangled pairs from
  7. Similarly for photon s2, whose polarization represents qubit 5 and its path qubit 4.
  8. In order to encode the state of the ancilla qubit into the graph it should be measured in the X basis.
  9. Rev.

E., Dür, W., Raussendorf, R. & Van den Nest, M. If it is not, the ancilla must be re-encoded to allow the continuation of a given protocol. (b) Y errors on one of the qubits of the code also flips the Opt. Experimental demonstration of a graph state quantum error-correction code.

Similarly, using a polarizer in the idler mode, we encode the |1› probe state that is propagated into the graph code as |−L›, a state equivalent to the box cluster up This is an important distinction, as the quantum information to be encoded is untouched during the generation of the code resource. In MBQC, an algorithm is enacted by performing sequential measurements on the resource state in such a way that the output of the computation is stored in the unmeasured qubits. On the other hand, if we know where the error occurs, the code can correct up to d−1 errors (equivalently erasures or loss errors), or it can detect up to d−1

Cluster-state quantum computing enhanced by high-fidelity generalized measurements. The negative value of the witness indicates the presence of GME, confirming that all qubits are involved in the generation of the resource. Beams Phys. Phys. 9, 192 (2007).Article36.Raussendorf, R., Harrington, J. & Goyal, K.

Res. http://ieeexplore.ieee.org/iel5/18/29493/01337106.pdf Please try the request again. Here we have used the four probe states discussed earlier to reconstruct the combined encoding and recovery channel. Experimental demonstration of blind quantum computing.

High-speed linear optics quantum computation using active feed-forward. navigate to this website Your cache administrator is webmaster. In the steps shown in the figure, the operation A (B) is depicted as a dashed (solid) outline around the qubit. A more rigorous description of the recovery procedure using the stabilizer formalism is given in the Methods.Figure 3: Loss tolerance.(a) General scenario of loss tolerance for the four-qubit graph code.

Res. Phys. Phys. More about the author This is a turning point on the phase-matching curve for the signal wavelength, where the signal spectrum becomes uncorrelated with the pump wavelength, and hence also with the idler spectrum.

Rev. Phys. Nature 464, 45–53 (2010).ISICASPubMedArticle2.Shor, P.

Rev.

A. & Zeng, B. W. Encoding information can be seen as expanding the operators acting on the ancilla qubit into the four-qubit box cluster state plus ancilla. Lett. 94, 060501 (2005).CASPubMedArticle67.Cross, A., Smith, G., Smolin, J. & Zeng, B.

As part of the program, tutorials for graduate students and junior researchers were given by world-renowned scholars. G. Phys. http://caribtechsxm.com/quantum-error/quantum-error-correcting-codes-from-the-compression-formalism.php Opt.

These orientations also result in the pump light being launched into the correct (slow) axis. The system returned: (22) Invalid argument The remote host or network may be down. TameNational Institute for Theoretical Physics, University of KwaZulu-Natal, Durban 4001, South AfricaM. In the first case, qubit 4 has been lost by combining the two paths corresponding to the computational basis of the qubit.

F. Fluids Phys. Phys. 6, 850–854 (2010).CASArticle32.Gao, W.-B. A.

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