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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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A Novel Approach for Asymmetric Quantum Error Correction With Syndrome Measurement
IEEE Access, 2022 Most of the quantum error correction methods are symmetric. Symmetric methods are implemented by considering the amplitude of bit flip(X) and phase flip(Z) errors as same.
Mummadi Swathi, Bhawana Rudra
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Quantum error correction for beginners [PDF]
Reports on Progress in Physics, 2013 35 pages, 25 Figures, Published ...
Devitt, Simon J. +2 more
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Correlated errors in quantum-error corrections [PDF]
Physical Review A, 2001 We show that errors are not generated correlatedly provided that quantum bits do not directly interact with (or couple to) each other. Generally, this no-qubits-interaction condition is assumed except for the case where two-qubit gate operation is being performed.
Hwang, W. Y., Ahn, D., Hwang, S. W.
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Non-Pauli topological stabilizer codes from twisted quantum doubles [PDF]
Quantum, 2021 It has long been known that long-ranged entangled topological phases can be exploited to protect quantum information against unwanted local errors. Indeed, conditions for intrinsic topological order are reminiscent of criteria for faithful quantum error ...
Julio Carlos Magdalena de la Fuente +2 more
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Perturbative Quantum Error Correction [PDF]
Physical Review Letters, 2011 We derive simple necessary and sufficient conditions under which a quantum channel obtained from an arbitrary perturbation from the identity can be reversed on a given code to the lowest order in fidelity. We find the usual Knill-Laflamme conditions applied to a certain operator subspace which, for a generic perturbation, is generated by the Lindblad ...
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Approximate Quantum Error Correction
Quantum Information Processing, 2002 9 pages ...
Schumacher, Benjamin +1 more
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Embedded quantum-error correction and controlled-phase gate for molecular spin qubits
AIP Advances, 2021 A scalable architecture for quantum computing requires logical units supporting quantum-error correction. In this respect, magnetic molecules are particularly promising, since they allow one to define logical qubits with embedded quantum-error correction
A. Chiesa +5 more
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Practical limits of error correction for quantum metrology
New Journal of Physics, 2021 Noise is the greatest obstacle in quantum metrology that limits it achievable precision and sensitivity. There are many techniques to mitigate the effect of noise, but this can never be done completely.
Nathan Shettell +3 more
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New Journal of Physics, 2017 Quantum error correction is important to quantum information processing, which allows us to reliably process information encoded in quantum error correction codes. Efficient quantum error correction benefits from the knowledge of error rates.
Ming-Xia Huo, Ying Li
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