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1. To build a universal quantum computer from fragile quantum components, effective implementation of quantum error correction (QEC) is an essential requirement and a central challenge.
2. Since qubits are intrinsically fragile, the most outstanding challenge of building such powerful quantum computers is efficient implementation of quantum error correction.
3. But a year later, Shor came up with a solution: quantum error correction.
4. However, current state-of-the-art quantum computation with more than 50 qubits does not yet use quantum error correction.
5. Five years ago, an unexpected connection between quantum error correction and the structure of space–time emerged.
6. This theorem seems to present an obstacle to formulating a theory of quantum error correction.
7. Quantum error correction also employs syndrome measurements.
8. “Quantum error correction, to me, it’s like magic,” Almheiri said.
9. This fact is what hinted to Almheiri, Dong and Harlow in 2014 that quantum error correction might be related to the way anti-de Sitter space-time arises from quantum entanglement.
10. In their paper conjecturing that holographic space-time and quantum error correction are one and the same, they described how even a simple code could be understood as a 2D hologram.
11. The language of quantum error correction has provided a new way of describing black holes.
12. Quantum error correction (QEC) enables a quantum computer to operate reliably even when the computing hardware is prone to error.
13. This comprehensive text, written by leading experts in the field, focuses on quantum error correction and thoroughly covers the theory as well as experimental and practical issues.
14. Introduction to quantum error correction Dave Bacon 3.
15. Optimization-based quantum error correction Andrew Fletcher Part IV.
16. He has worked on quantum control theory for the past 15 years and is well known for his contributions to quantum error correction, in particular the development of decoherence-free subspaces.
17. Besides of describing various noise models in terms of quantum gates, a direct support of quantum error correction codes.
18. Using the quantum error correction codes, the effects of applying single bit or phase flip error to the quantum circuits are reported along with the error recovery method for different qubit codes.
19. In one quantum error correction cycle ancilla qubits are coupled to the data qubits and pick up information about the data qubits in the form of parity checks.
20. Before quantum computers can reach their much-hyped potential, scientists will need to master new tactics for fixing errors, an area of research called quantum error correction.
21. But quantum error correction provides a way to control the seemingly uncontrollable.
22. So schemes for quantum error correction apply some work-arounds.
23. Creating that more powerful, superorganism-like qubit is the next big step in quantum error correction.
24. The insight that we can describe measurements in quantum error correction that act the same way on all code states, is the essence of the stabilizer formalism.
25. In a recent contribution, my collaborators and I took a shot at combining the two physical concepts of quantum error correction and physical symmetries.
26. We provide an answer by resorting to approximate quantum error correction.
27. The tight connections between quantum error correction and many-body physics have been put to light following a long history of pioneering research at Caltech in these fields.
28. Most quantum error correction codes have been designed for stochastic errors and there has been a concern that coherent errors may cause unwanted damage due to this quadratic increase in error.
29. If you have heard about quantum computers you have likely heard about quantum error correction.
30. Now that we have established briefly what a quantum computer is, let’s understand what is quantum error correction?
31. But before we discuss quantum error correction, we should understand what error correction is.
32. Wrapping things up, we learnt that quantum error correction is the detection of errors caused by noise or decoherence, reconstruction of the input without those errors in a quantum computer.

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• [{'LOWER': 'quantum'}, {'LOWER': 'error'}, {'LEMMA': 'correction'}]