Results 41 to 50 of about 8,540 (277)
Stability of quantum concatenated-code Hamiltonians [PDF]
Physical Review A, 2008 18 pages, small corrections and ...
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Engineering Quantum Error Correction Codes Using Evolutionary Algorithms
IEEE Transactions on Quantum EngineeringQuantum error correction and the use of quantum error correction codes are likely to be essential for the realization of practical quantum computing.
Mark A. Webster, Dan E. Browne
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New Journal of Physics, 2018 We present an algorithm for manipulating quantum information via a sequence of projective measurements. We frame this manipulation in the language of stabilizer codes: a quantum computation approach in which errors are prevented and corrected in part by ...
Kristina R Colladay, Erich J Mueller
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Pseudocodeword-based Decoding of Quantum Stabilizer Codes [PDF]
2019 IEEE International Symposium on Information Theory (ISIT), 2019 It has been shown that graph-cover pseudocodewords can be used to characterize the behavior of sum-product algorithm (SPA) decoding of classical codes. In this paper, we leverage and adapt these results to analyze SPA decoding of quantum stabilizer codes.
July X. Li, Pascal O. Vontobel
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IEEE Access, 2017 The tradeoff between the quantum coding rate and the associated error correction capability is characterized by the quantum coding bounds. The unique solution for this tradeoff does not exist, but the corresponding lower and the upper bounds can be found
Daryus Chandra +6 more
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Detecting arbitrary quantum errors via stabilizer measurements on a sublattice of the surface code
, 2014 To build a fault-tolerant quantum computer, it is necessary to implement a quantum error correcting code. Such codes rely on the ability to extract information about the quantum error syndrome while not destroying the quantum information encoded in the ...
Chow, Jerry M. +6 more
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Establishing the number of distinct stabilizer bases for a quantum qudit error-correcting code [PDF]
, 2014 The class of quantum codes called stabilizer codes is increasingly well-understood. The premise of the stabilizer formalism is that a quantum code can be efficiently described by a subgroup of its error group, and, interestingly, the stabilizer formalism
Wilmott, CM
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Pauli Stabilizer Models of Twisted Quantum Doubles
PRX Quantum, 2022 We construct a Pauli stabilizer model for every two-dimensional Abelian topological order that admits a gapped boundary. Our primary example is a Pauli stabilizer model on four-dimensional qudits that belongs to the double semion (DS) phase of matter ...
Tyler D. Ellison +5 more
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Quantum stabilizer codes embedding qubits into qudits [PDF]
Physical Review A, 2012 We study, by means of the stabilizer formalism, a quantum error correcting code which is alternative to the standard block codes since it embeds a qubit into a qudit. The code exploits the non-commutative geometry of discrete phase space to protect the qubit against both amplitude and phase errors.
CAFARO C., MAIOLINI F., MANCINI, Stefano
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Puncturing Quantum Stabilizer Codes
IEEE Journal on Selected Areas in Information TheoryClassical coding theory contains several techniques to obtain new codes from other codes, including puncturing and shortening. For quantum codes, a form of puncturing is known, but its description is based on the code space rather than its generators.
Jaron Skovsted Gundersen +4 more
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