Results 41 to 50 of about 23,457 (163)

QUANTUM ERROR-CORRECTION FOR SPATIALLY CORRELATED ERRORS [PDF]

International Journal of Quantum Information, 2008
It is shown that errors due to spatially correlated noises can be corrected by the quantum error-correction code and error-correction procedure prepared for those for independent noises. A model of noisy-channel which is under the influence of spatially correlated quantum Brownian motion is investigated within the framework of non-equilibrium thermo ...
Arimitsu, T., Hayashi, T., Kitajima, Shibata, F.   +3 more
openaire   +1 more source

Unified and Generalized Approach to Entanglement-Assisted Quantum Error Correction

IEEE Transactions on Quantum Engineering
We introduce a framework for entanglement-assisted quantum error correcting codes that unifies the three original frameworks for such codes called entanglement-assisted quantum error correction, entanglement-assisted operator quantum error correction ...
Priya J. Nadkarni, Serge Adonsou, Guillaume Dauphinais, David W. Kribs, Michael Vasmer   +4 more
doaj   +1 more source

Quantum minimal surfaces from quantum error correction

SciPost Physics, 2022
We show that complementary state-specific reconstruction of logical (bulk) operators is equivalent to the existence of a quantum minimal surface prescription for physical (boundary) entropies.
Chris Akers, Geoff Penington
doaj   +1 more source

Quantum error correction for continuously detected errors [PDF]

Physical Review A, 2003
We show that quantum feedback control can be used as a quantum error correction process for errors induced by weak continuous measurement. In particular, when the error model is restricted to one, perfectly measured, error channel per physical qubit, quantum feedback can act to perfectly protect a stabilizer codespace. Using the stabilizer formalism we
Ahn, Charlene, Wiseman, H. M., Milburn, G. J.   +2 more
openaire   +8 more sources

Theory of quasi-exact fault-tolerant quantum computing and valence-bond-solid codes

New Journal of Physics, 2022
In this work, we develop the theory of quasi-exact fault-tolerant quantum (QEQ) computation, which uses qubits encoded into quasi-exact quantum error-correction codes (‘quasi codes’).
Dong-Sheng Wang, Yun-Jiang Wang, Ningping Cao, Bei Zeng, Raymond Laflamme   +4 more
doaj   +1 more source

Fault-tolerant quantum computing in the Pauli or Clifford frame with slow error diagnostics [PDF]

Quantum, 2018
We consider the problem of fault-tolerant quantum computation in the presence of slow error diagnostics, either caused by measurement latencies or slow decoding algorithms.
Christopher Chamberland, Pavithran Iyer, David Poulin   +2 more
doaj   +1 more source

Autonomous error correction of a single logical qubit using two transmons

Nature Communications
Large-scale quantum computers will inevitably need quantum error correction to protect information against decoherence. Traditional error correction typically requires many qubits, along with high-efficiency error syndrome measurement and real-time ...
Ziqian Li, Tanay Roy, David Rodríguez Pérez, Kan-Heng Lee, Eliot Kapit, David I. Schuster   +5 more
doaj   +1 more source

Multidimensional Bose quantum error correction based on neural network decoder

npj Quantum Information, 2022
Boson quantum error correction is an important means to realize quantum error correction information processing. In this paper, we consider the connection of a single-mode Gottesman-Kitaev-Preskill (GKP) code with a two-dimensional (2D) surface (surface ...
Haowen Wang, Yunjia Xue, Yingjie Qu, Xiaoyi Mu, Hongyang Ma   +4 more
doaj   +1 more source

Quantum Secret Sharing with Error Correction [PDF]

Communications in Theoretical Physics, 2012
We investigate in this work a quantum error correction on a five-qubits graph state used for secret sharing through five noisy channels. We describe the procedure for the five, seven and nine qubits codes. It is known that the three codes always allow error recovery if only one among the sents qubits is disturbed in the transmitting channel.
Aziz Mouzali, Fatiha Merazka, Damian Markham   +2 more
openaire   +2 more sources

Tensor Networks and Quantum Error Correction [PDF]

Physical Review Letters, 2014
We establish several relations between quantum error correction (QEC) and tensor network (TN) methods of quantum many-body physics. We exhibit correspondences between well-known families of QEC codes and TNs, and demonstrate a formal equivalence between decoding a QEC code and contracting a TN.
Ferris, A., Poulin, D.
openaire   +4 more sources