Results 11 to 20 of about 40,499 (317)
Quantum error-correcting codes with a covariant encoding [PDF]
Physical Review Letters, 2023 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 $[[5,1,3]]$
Aurélie Denys, Anthony Leverrier
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Foliated Quantum Error-Correcting Codes [PDF]
Physical Review Letters, 2016 We show how to construct a large class of quantum error-correcting codes, known as Calderbank-Steane-Shor codes, from highly entangled cluster states. This becomes a primitive in a protocol that foliates a series of such cluster states into a much larger cluster state, implementing foliated quantum error correction.
A. Bolt +3 more
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A cellular automaton decoder for a noise-bias tailored color code [PDF]
Quantum, 2023 Self-correcting quantum memories demonstrate robust properties that can be exploited to improve active quantum error-correction protocols. Here we propose a cellular automaton decoder for a variation of the color code where the bases of the physical ...
Jonathan F. San Miguel +2 more
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Resource-efficient fault-tolerant one-way quantum repeater with code concatenation
npj Quantum Information, 2023 One-way quantum repeaters where loss and operational errors are counteracted by quantum error-correcting codes can ensure fast and reliable qubit transmission in quantum networks.
Kah Jen Wo +8 more
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An Application of p-Fibonacci Error-Correcting Codes to Cryptography
Mathematics, 2021 In addition to their usefulness in proving one’s identity electronically, identification protocols based on zero-knowledge proofs allow designing secure cryptographic signature schemes by means of the Fiat–Shamir transform or other similar constructs ...
Emanuele Bellini +2 more
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Entropy of a Quantum Error Correction Code [PDF]
Open Systems & Information Dynamics, 2008 We define and investigate the notion of entropy for quantum error correcting codes. The entropy of a code for a given quantum channel has a number of equivalent realisations, such as through the coefficients associated with the Knill-Laflamme conditions and the entropy exchange computed with respect to any initial state supported on the code.
David W. Kribs +2 more
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Optimal universal quantum error correction via bounded reference frames
Physical Review Research, 2022 Error correcting codes with a universal set of transversal gates are a desideratum for quantum computing. Such codes, however, are ruled out by the Eastin-Knill theorem.
Yuxiang Yang +4 more
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Theory of quantum error-correcting codes [PDF]
Physical Review A, 1997 34 pages in LaTex, 1 figures, the paper is also available at http://qso.lanl.gov/qc/
Knill, Emanuel, Laflamme, Raymond
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Adaptive surface code for quantum error correction in the presence of temporary or permanent defects [PDF]
Quantum, 2023 Whether it is at the fabrication stage or during the course of the quantum computation, e.g. because of high-energy events like cosmic rays, the qubits constituting an error correcting code may be rendered inoperable.
Adam Siegel +3 more
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Quantum error correction and large $N$
SciPost Physics, 2021 In recent years quantum error correction (QEC) has become an important part of AdS/CFT. Unfortunately, there are no field-theoretic arguments about why QEC holds in known holographic systems.
Alexey Milekhin
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