Quantum error correction via codes over GF(4)[J]. Information Theory,IEEE Transactions on,1996,44(4) : 1369-1387.A.R. Calderbank, E.M. Rains, P.W. Shor, and N.J.A. Sloane, "Quantum errors correction via codes over GF (4)," Preprint arXiv:quant-ph/9608006 (1996); IEEE Trans....
quantum error correction via codes over gf In quantum error correction, the theory of stabilizer formalism requires classical self-orthogonal additive codes over the finite field GF(4), which, via ... AR Calderbank,EM Rains,PW Shor,... 被引量: 0发表: 2018年 Quantum Error Correction quantum ...
Quantum Error Correction and Orthogonal Geometry J. A. (1996) Quan- tum Error Correction and Orthogonal Geometry, quant-ph/9605005; Quantum Error Correction via Codes over GF(4), quant-ph/9608006... A.,R.,Calderbank,... - 《Phys.rev.lett》 被引量: 910发表: 1997年 Continuous quantum e...
al., “Quantum Error Correction and Orthogonal Geometry”, Phys. Rev. Lett. 78, 405 (1997) A. R. Calderbank et. al.,, “Quantum Error Correction Via Codes Over GF (4)”, arXiv:quant-ph/9608006 (1997) Fault tolerance P.W Shor, “Fault-tolerant quantum computation”, arXiv:quant-p...
J. A. Quantum error correction via codes over GF(4). IEEE Trans. Inf. Theory 44, 1369–1387 (1998). Article MathSciNet Google Scholar Gheorghiu, V., Mosca, M. & Mukhopadhyay, P. T-count and T-depth of any multi-qubit unitary. Preprint at https://arXiv.org/quant-ph/2110.10292 ...
Contemporary methods for benchmarking noisy quantum processors typically measure average error rates or process infidelities. However, thresholds for fault-tolerant quantum error correction are given in terms of worst-case error rates—defined via the di
LIGHTER-R 2).是一种可以给出实现任意4比特S盒量子电路的自动化工具[32].而F24F24的乘法逆运算看作一个4比特S盒, 它的输入与对应逆元见表1. 因此, 运行工具LIGHTER-R得到实现F24F24乘法逆的量子电路, 即图3. 图3中的CCCNOT门(即虚框内的门)可以通过图4的电路实现. 需要注意的是, 图4中的辅助量子比特...
and Shor, P.W., Good Quantum Error-Correcting Codes Exist, Phys. Rev, 1996, vol. 54, no. 2, pp. 1098–1105. Google Scholar Calderbank, A.R., Rains, E.M., Shor, P.W., and Sloane, N.J.A., Quantum Errors Correction via Codes over GF(4), IEEE Trans. Inf. Theory, 1998,...
The complexity of quantum states has become a key quantity of interest across various subfields of physics, from quantum computing to the theory of black holes. The evolution of generic quantum systems can be modelled by considering a collection of qubit
Moreover, since the probability of postselection is exponentially small, the logical error probability has to be reduced exponentially. Fortunately, in fault-tolerant theory, we can reduce the logical error probability exponentially with increasing the overhead polynomially. These facts allow the post-...