![]() The first proof (subsumed in Harlow's 1607 paper): 1601.05416, " Reconstruction of Bulk Operators within the Entanglement Wedge in Gauge-Gravity Duality " by Dong, Harlow and Wall.The original mention of the entanglement wedge and the original conjecture of entanglement wedge reconstruction (included for completeness): 1408.6300, " Causality & holographic entanglement entropy" by Headrick, Hubeny, Lawrence and Rangamani.The main results (and the only QEC paper you really need to read):1607.03901, "The RT Formula from QEC," by Harlow.QEC in 2d Ising CFT (I won't cover this in detail) : 1611.07528, "Towards holography via quantum source-channel codes" by Pastawski, Eisert and Wilming.An example (I won't cover this in detail): 1708.00035, " Code subspaces for LLM geometries" by Berenstein and Miller.First paper: 1411.7041, " Bulk Locality and Quantum Error Correction in AdS/CFT" by Almheiri, Dong and Harlow.Introduction to generalised free fields and the first (and best) explanation of the code subspace, which I'll follow: 1101.416, "Emergent Spacetime and Holographic CFTs" by Sheer El-Showk and Kyriakos Papadodimas.Implications for relative entropy: 1512.06431, "Relative Entropy equals Bulk Relative Entropy" by Jafferis, Lewkowycz, Maldacena and Suh.All orders formula (included solely for completeness): 1705.08453, "Entropy, Extremality, Euclidean Variations, and the Equations of Motion " by Dong and Lewkowycz. ![]() First-Order Correction: 1307.2892, " Quantum corrections to holographic entanglement entropy" by Faulkner Lewkowycz and Maldacena.Quantum-Corrected Ryu-Takayanagi Formula:.Stuff I'll cover, at various levels of detail, along with some stuff added for completeness: Comments on the necessity and implications of state dependence in the black hole interior by Raju and Papadodimas ( ) Tasi Lectures on the emergence of bulk in AdS/CFT by Daniel Harlow ( )Ģ.Constructing local bulk observables in interacting AdS/CFT by Kabat, Lifschytz and Lowe ( )ģ.Bulk locality and boundary creating operators by Nakayama and Ooguri ( )Ĥ.Eternal black holes and superselection sectors in AdS/CFT by Marolf and Wall ( )ĥ. ![]() ![]() Other scientists involved in the study include Sun Luyan, an associate professor at Tsinghua University, and Zheng Shibiao, a professor at Fuzhou University.1. Through repetitive real-time QEC operations, the storage lifetime of the quantum information has been extended beyond the break-even point. In this study, the research team developed a quantum system with high coherence performance, implemented an error syndrome detection method with low error rates, and improved the QEC procedure.Īs a result, they realized QEC of a logical qubit encoded with discrete photon number states in a single bosonic mode. This problem has not yet been solved to achieve a positive QEC gain to reach the break-even point, which is defined as the lifetime of the best available physical component in this system. Therefore, QEC, which protects logical qubits from noises, is extremely important.Ĭonventional QEC schemes use multiple physical qubits to encode a logical qubit, which not only requires a great number of hardware resources but also adds the number of error channels with increased number of physical qubits, resulting in an awkward situation of "more corrections, more errors." The findings were published online in the journal Nature.Īccording to Xu Yuan, an assistant researcher at the Southern University of Science and Technology, although quantum information processing based on superconducting quantum circuit system has made great progress in recent years, the error rate of quantum operations is still much higher than that of a classical computer. Led by Yu Dapeng, an academician with the Chinese Academy of Sciences, the team extended the storage time of quantum information beyond the break-even point for the first time through repetitive real-time QEC. Chinese scientists have made a breakthrough in the field of quantum error correction (QEC) based on superconducting quantum circuits, contributing to the development of quantum computing.
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