Results 61 to 70 of about 4,093,339 (192)

Iterative Optimization of Quantum Error Correcting Codes [PDF]

Physical Review Letters, 2005
5 pages, 2 figures, REVTeX 4; stability of algorithm ...
Reimpell, M., Werner, R. F.
openaire   +3 more sources

Iterative Construction of Reversible Variable-Length Codes and Variable-Length Error-Correcting Codes

, 2004
We propose a generic algorithm for the construction of efficient reversible variable-length codes (RVLCs) and variable-length error-correcting (VLEC) codes, which optimizes the codeword length distribution.
Wang, J., Yang, L-L., Hanzo, L.
core   +1 more source

Experimental measurement and a physical interpretation of quantum shadow enumerators

Physical Review Research
Throughout its history, the theory of quantum error correction has heavily benefited from translating classical concepts into the quantum setting.
Daniel Miller, Kyano Levi, Lukas Postler, Alex Steiner, Lennart Bittel, Gregory A. L. White, Yifan Tang, Eric J. Kuehnke, Antonio A. Mele, Sumeet Khatri, Lorenzo Leone, Jose Carrasco, Christian D. Marciniak, Ivan Pogorelov, Milena Guevara-Bertsch, Robert Freund, Rainer Blatt, Philipp Schindler, Thomas Monz, Martin Ringbauer, Jens Eisert   +20 more
doaj   +1 more source

Unitary Application of the Quantum Error Correction Codes [PDF]

Communications in Theoretical Physics, 2012
Summary: For applying the perfect code to transmit quantum information over a noise channel, the standard protocol contains four steps: the encoding, the noise channel, the error-correction operation, and the decoding. In present work, we show that this protocol can be simplified.
You, Bo, Xu, Ke, Wu, Xiao-Hua
openaire   +2 more sources

Automated Discovery of Autonomous Quantum Error Correction Schemes

PRX Quantum, 2022
We can encode a qubit in the energy levels of a quantum system. Relaxation and other dissipation processes lead to decay of the fidelity of this stored information.
Zhaoyou Wang, Taha Rajabzadeh, Nathan Lee, Amir H. Safavi-Naeini   +3 more
doaj   +1 more source

Quantum Error-Correcting Codes with a Covariant Encoding

Physical Review Letters
Given some group $G$ of logical gates, for instance the Clifford group, what are the quantum encodings for which these logical gates can be implemented by simple physical operations, described by some physical representation of $G$? We study this question by constructing a general form of such encoding maps. For instance, we recover that the $[[5,1,3]]$
Denys, Aurélie, Leverrier, Anthony
openaire   +4 more sources

Graphical nonbinary quantum error-correcting codes [PDF]

Physical Review A, 2008
12 pages, 5 figures (pdf)
Hu, D., Tang, W., Zhao, M., Chen, Q., Yu, S., Oh, C.H.   +5 more
openaire   +2 more sources

Existence of Pauli-like stabilizers for every quantum error-correcting code

, 2023
The Pauli stabilizer formalism is perhaps the most thoroughly studied means of procuring quantum error-correcting codes, whereby the code is obtained through commutative Pauli operators and ``stabilized'' by them.
Jhih-Yuan Kao, Kao, Jhih-Yuan, Goan, Hsi-Sheng, Hsi-Sheng Goan   +3 more
core   +1 more source

Resource analysis and modifications of quantum computing with noisy qubits for elliptic curve discrete logarithms

Scientific Reports
We estimate the number of physical qubits and execution time by decomposing an implementation of Shor’s algorithm for elliptic curve discrete logarithms into universal gate units at the logical level when surface codes are used.
Jinyoung Ha, Jonghyun Lee, Jun Heo
doaj   +1 more source

Quantum repeaters based on concatenated bosonic and discrete-variable quantum codes

npj Quantum Information, 2021
We propose an architecture of quantum-error-correction-based quantum repeaters that combines techniques used in discrete- and continuous-variable quantum information.
Filip Rozpędek, Kyungjoo Noh, Qian Xu, Saikat Guha, Liang Jiang   +4 more
doaj   +1 more source