Experimental quantum error correction
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Our work demonstrates each key aspect of the code and verifies the viability of experimental realisation of quantum error-correcting codes with superconducting qubits.Įrror detection five-qubit code logical operation quantum error-correcting code superconducting qubit. More in general, quantum computing devices can be studied in the framework of open quantum systems 15, 26, 27, 28, that is, systems that exchange energy and information with the surrounding environment.On the one hand, the qubit-environment exchange can be controlled, and this feature is actually fundamental to extract information and process it. Finally, we realise the decoding circuit and recover the input state with an overall fidelity of, in total with 92 gates. We further implement logical Pauli operations with a fidelity of within the code space. Then, the arbitrary single-qubit errors introduced manually are identified by measuring the stabilisers. The encoded states are prepared with an average fidelity of while with a high fidelity of in the code space. In the experiment, having optimised the encoding circuit, we employ an array of superconducting qubits to realise the code for several typical logical states including the magic state, an indispensable resource for realising non-Clifford gates.
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To address this challenge, we experimentally realise the code, the so-called smallest perfect code that permits corrections of generic single-qubit errors.
EXPERIMENTAL QUANTUM ERROR CORRECTION VERIFICATION
Despite tremendous experimental efforts in the study of quantum error correction, to date, there has been no demonstration in the realisation of universal quantum error-correcting code, with the subsequent verification of all key features including the identification of an arbitrary physical error, the capability for transversal manipulation of the logical state and state decoding. Quantum error correction is an essential ingredient for universal quantum computing.