Quantum Error Correction Via Codes Over GF(4 - Calderbank, Shor, et al. - 1998 () Citation Context ...re interchanged if we perform a change of basis with Hadamard rotations. encoded information can be maintaine
b, Error injection in the surface code on a 105-qubit processor. Distance 3 averages over 9 subset codes, and distance 5 averages over 4 subset codes, as shown in Fig. 1. Logical performance is plotted against the mean weight-4 detection probability averaging over all codes, for which ...
Quantum error correction via less noisy qubits. Phys. Rev. Lett. 110, 170501 (2013). SCIENTIFIC REPORTS | 4 : 7203 | DOI: 10.1038/srep07203 4 www.nature.com/scientificreports 22. Wang, Z., Yu, S., Fan, H. & Oh, C. H. Quantum error-correcting codes over mixed alphabets. Phys. ...
Nested Quantum Error Correction CodesI describe a method for pasting together certain quantum error-correcting codes that correct one error to make a single larger one-error quantum code. I show how to construct codes encoding 7 qubits in 13 qubits using the method, as well as 15 qubits in ...
Work together to deeply understand their qubits, hardware, and error properties. We then design the best potential solutions, including the appropriate error correction codes and decoders. Test and implement QEC solutions offline in software.
Entanglement-assisted quantum error correction codes with length \(n=q^2+1\)Constacyclic codeCyclotomic cosetEAQEC codeEAQMDS codeIn this paper, by investigating \\(q^2\\)-cyclotomic coset modulo rn in detail, where q is a prime power, \\(n=q^2+1\\) and \\(r\\mid (q+1)\\)...
J. A. Quantum error correction via codes over GF(4). IEEE Trans. Inf. Theory 44, 1369–1387 (1998). Article MathSciNet MATH Google Scholar Ozols, M. Clifford group. Essays at University of Waterloo, Spring (2008). Kitaev, A. Y., Shen, A., Vyalyi, M. N. & Vyalyi, M. N....
overhead. On top of that, in these papers we introduce a new class of quantum error correction codes, called Floquet codes, which are particularly suited to topological qubits. Our new approaches culminate in an additional tenfold or more reduction to the overhead needed ...
, 1999). Furthermore, codes for quantum information processing, and in particular error correction codes may be tested for their applicability under well-defined, non-ideal conditions. These experiments demonstrate the ability to prepare arbitrary states of this SU2 system with very high precision –...
we can expect further improvement with advances in materials and fabrication. But a logical qubit with very low error rate surely will be a complicated object due to the hefty overhead cost of quantum error correction. Perhaps it is worthwhile to fashion a more complicated physical qubit if the...