Results 21 to 30 of about 55,151 (279)
A combinatorial approach to quantum error correcting codes [PDF]
Discrete Mathematics, Algorithms and Applications, 2014 Motivated from the theory of quantum error correcting codes, we investigate a combinatorial problem that involves a symmetric n-vertices colorable graph and a group of operations (coloring rules) on the graph: find the minimum sequence of operations that maps between two given graph colorings.
German Luna +3 more
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Entanglement-assisted quantum low-density parity-check codes [PDF]
, 2010 This paper develops a general method for constructing entanglement-assisted quantum low-density parity-check (LDPC) codes, which is based on combinatorial design theory.
C. J. Colbourn +25 more
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Quantum error correction under numerically exact open-quantum-system dynamics
Physical Review Research, 2023 The known quantum error-correcting codes are typically built on approximative open-quantum-system models such as Born-Markov master equations. However, it is an open question how such codes perform in actual physical systems that, to some extent ...
Aravind P. Babu +5 more
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Quantum error correction with fractal topological codes [PDF]
Quantum, 2023 Recently, a class of fractal surface codes (FSCs), has been constructed on fractal lattices with Hausdorff dimension $2+\epsilon$, which admits a fault-tolerant non-Clifford CCZ gate \cite{zhu2021topological}.
Arpit Dua +2 more
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Good quantum error-correcting codes exist [PDF]
Physical Review A, 1996 A quantum error-correcting code is defined to be a unitary mapping (encoding) of k qubits (2-state quantum systems) into a subspace of the quantum state space of n qubits such that if any t of the qubits undergo arbitrary decoherence, not necessarily independently, the resulting n qubits can be used to faithfully reconstruct the original quantum state ...
Calderbank, A. R., Shor, Peter W.
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Counteracting dephasing in Molecular Nanomagnets by optimized qudit encodings
npj Quantum Information, 2021 Molecular Nanomagnets may enable the implementation of qudit-based quantum error-correction codes which exploit the many spin levels naturally embedded in a single molecule, a promising step towards scalable quantum processors.
F. Petiziol +4 more
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Universal Framework for Quantum Error-Correcting Codes [PDF]
Entropy, 2021 We present a universal framework for quantum error-correcting codes, i.e., a framework that applies to the most general quantum error-correcting codes. This framework is based on the group algebra, an algebraic notation associated with nice error bases of quantum systems.
Zhuo Li 0007, Lijuan Xing
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Qudit low-density parity-check codes [PDF]
QuantumQudits offer significant advantages over qubit-based architectures, including more efficient gate compilation, reduced resource requirements, improved error-correction primitives, and enhanced capabilities for quantum communication and cryptography. Yet,
Daniel J. Spencer +4 more
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Decoding Schemes for Foliated Sparse Quantum Error Correcting Codes [PDF]
, 2018 Foliated quantum codes are a resource for fault-tolerant measurement-based quantum error correction for quantum repeaters and for quantum computation.
Bolt, A., Poulin, D., Stace, T. M.
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Constructions of k-uniform and absolutely maximally entangled states beyond maximum distance codes
Physical Review Research, 2020 Pure multipartite quantum states of n parties and local dimension q are called k-uniform if all reductions to k parties are maximally mixed. These states are relevant for our understanding of multipartite entanglement, quantum information protocols, and ...
Zahra Raissi +3 more
doaj +1 more source