Results 51 to 60 of about 369,878 (291)

Codeword stabilized quantum codes [PDF]

2008 IEEE International Symposium on Information Theory, 2008
5 pages, 1 eps figure, ((11,48,3)) code removed, encoding circuits added, typos corrected in codewords and ...
Cross, Andrew, Smith, Graeme, Smolin, John A., Zeng, Bei   +3 more
openaire   +4 more sources

Decoding Quantum Tanner Codes

IEEE Transactions on Information Theory, 2023
35 pages; v3: corrected several minor mistakes.
Leverrier, Anthony, Zémor, Gilles
openaire   +3 more sources

New Quantum Codes and (θ, δ, β)-Cyclic Codes

IEEE Access
For a prime p and a positive integer e, let $\mathbb {F}_{p^{e}}$ be the finite field of order $p^{e}$ and $\mathfrak {R}_{\ell } $ be a non-chain ring given by $\mathfrak {R}_{\ell } :=\mathbb {F}_{p^{e}}[v]/\langle v^{\ell } -1\rangle,~\ell \gt ...
Ashutosh Singh, Priyanka Sharma, Om Prakash   +2 more
doaj   +1 more source

Quantum generalized Reed-Solomon codes: Unified framework for quantum MDS codes

, 2008
We construct a new family of quantum MDS codes from classical generalized Reed-Solomon codes and derive the necessary and sufficient condition under which these quantum codes exist. We also give code bounds and show how to construct them analytically. We
F. J. MacWilliams, Li-Juan Xing, M. Grassl, P. K. Sarvepalli, Xin-Mei Wang, Zhuo Li   +5 more
core   +1 more source

Logic gates at the surface code threshold: Superconducting qubits poised for fault-tolerant quantum computing [PDF]

, 2014
A quantum computer can solve hard problems - such as prime factoring, database searching, and quantum simulation - at the cost of needing to protect fragile quantum states from error.
Barends, R., Campbell, B., Chen, Y., Chen, Z., Chiaro, B., Cleland, A. N., Dunsworth, A., Fowler, A. G., Jeffrey, E., Kelly, J., Korotkov, A. N., Martinis, John M., Megrant, A., Mutus, J., Neill, C., O`Malley, P., Roushan, P., Sank, D., Vainsencher, A., Veitia, A., Wenner, J., White, T. C.   +21 more
core   +2 more sources

On codes induced from Hadamard matrices

AIMS Mathematics
Unit derived schemes applied to Hadamard matrices are used to construct and analyse linear block and convolutional codes. Codes are constructed to prescribed types, lengths and rates and multiple series of self-dual, dual-containing, linear complementary
Ted Hurley
doaj   +1 more source

EXIT-Chart Aided Design of Irregular Multiple-Rate Quantum Turbo Block Codes

IEEE Access, 2023
We propose a novel quantum turbo short-block code, which subsumes multiple-rate quantum short-block codes (MR-QSBCs) as the outer codes and a quantum unity-rate code (QURC) as the inner code. The proposed design is denoted as MR-QSBC-QURC.
Daryus Chandra, Soon Xin Ng, Lajos Hanzo
doaj   +1 more source

Experimental Implementation of a Codeword Stabilized Quantum Code

, 2012
A five-qubit codeword stabilized quantum code is implemented in a seven-qubit system using nuclear magnetic resonance (NMR). Our experiment implements a good nonadditive quantum code which encodes a larger Hilbert space than any stabilizer code with the ...
Bei Zeng, D. Aharonov, D. Gottesman, Jingfu Zhang, M. Grassl, M. Grassl, M. Grassl, M. H. Levitt, M. Nielsen, Markus Grassl, R. Laflamme, Raymond Laflamme   +11 more
core   +1 more source

Extended quantum color coding [PDF]

Physical Review A, 2005
10 ...
Hayashi, A., Hashimoto, T., Horibe, M.
openaire   +2 more sources

Ultimate linear block and convolutional codes

AIMS Mathematics
Linear block and convolutional codes are designed using unit schemes and families of these to required length, rate, distance and type are mined. Properties, such as type and distance, of the codes follow from the types of units used and thus required ...
Ted Hurley
doaj   +1 more source