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IEEE AccessError correction is a crucial stage in quantum key distribution (QKD) protocols — a promising field of modern cryptography where the secrecy of the shared key information is guaranteed by the laws of quantum mechanics.
Vladimir I. Morozov +3 more
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Physical Review X, 2012 Many quantum systems are being investigated in the hope of building a large-scale quantum computer. All of these systems suffer from decoherence, resulting in errors during the execution of quantum gates. Quantum error correction enables reliable quantum
Austin G. Fowler +3 more
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Using the qubus for quantum computing [PDF]
, 2011 In this thesis I explore using the qubus for quantum computing. The qubus is an architecture of quantum computing, where a continuous variable ancilla is used to generate operations between matter qubits. I concentrate on using the qubus for two purposes
Brown, Katherine Louise
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Fidelity as a figure of merit in quantum error correction [PDF]
, 2013 We discuss the fidelity as a figure of merit in quantum error correction schemes. We show that when identifiable but uncorrectable errors occur as a result of the action of the channel, a common strategy that improves the fidelity actually decreases the ...
Almlöf, Jonas,, Björk, Gunnar G. E.,
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Quantum Computing and Error Correction
, 2003 The main ideas of quantum error correction are introduced. These are encoding, extraction of syndromes, error operators, and code construction. It is shown that general noise and relaxation of a set of 2-state quantum systems can always be understood as a combination of Pauli operators acting on the system.
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Simple quantum error-correcting codes [PDF]
Physical Review A, 1996 Methods of finding good quantum error correcting codes are discussed, and many example codes are presented. The recipe C_2^{\perp} \subseteq C_1, where C_1 and C_2 are classical codes, is used to obtain codes for up to 16 information qubits with correction of small numbers of errors. The results are tabulated.
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Quantum Error Correction resilient against Atom Loss [PDF]
We investigate quantum error correction protocols for neutral atoms quantum processors in the presence of atom loss. We complement the surface code with loss detection units (LDU) and analyze its performances by means of circuit-level simulations for two
Sven Jandura, Hugo Perrin, Guido Pupillo
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Algebraic and information-theoretic conditions for operator quantum error correction [PDF]
, 2007 Operator quantum error correction is a technique for robustly storing quantum information in the presence of noise. It generalizes the standard theory of quantum error correction, and provides a unified framework for topics such as quantum error ...
David Poulin +3 more
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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
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On the stability of quantum dynamical semigroups : a convergence analysis [PDF]
, 2010 In this work we address the problems of state stabilization and convergence dynamics for finite-dimensional Quantum Dynamical Semigroups generators. We do so by building on the powerful notions of invariant and attractive quantum subsystems.
Lucchese, Riccardo
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