![]() The logical operations required for quantum computation are essentially just small perturbations to the error correction procedure. Auxiliary degrees of freedom are then constantly measured, to detect signs of errors and allow their effects to be removed.īecause of the vast amount effort required for this process, most operations performed in fault-tolerant quantum computers will be done to serve the purpose of error detection and correction. ![]() The encoding is maintained by constantly putting the physical qubits through a highly entangling circuit. This will be done through the process of quantum error correction, in which logical qubits are encoded in a large numbers of physical qubits. For the future era of fault-tolerance, however, we must find ways to build logical qubits from physical qubits. In the current era of quantum computing, we seek to use physical qubits despite their imperfections, by designing custom algorithms and using error mitigation. Instead, we refer to them as physical qubits. These qubits will always be much too imprecise to serve directly as logical qubits. However, the imperfections can never be removed entirely. The last few decades have also seen great advances in finding physical systems that behave as qubits with ever greater fidelity. Qubits that obey these assumptions are often known as logical qubits. Most quantum algorithms developed over the past few decades have assumed that these qubits are perfect: they can be prepared in any state we desire, and be manipulated with complete precision. Quantum software is based on the idea of encoding information in qubits. In this paper we introduce this new module, and describe its implementation and the methodology behind it. ![]() The topological_codes module of Qiskit Ignis is one means by which this can be done. ![]() Though this is also the goal of quantum software, there will instead be a heavy focus on benchmarking, testing and validation of quantum devices in the near-term. The most prominent forms of software for classical computers are dedicated to applications, in which the device performs a useful task for the end user. Input state with an overall fidelity of $74.5(6)\%$, in total with $92$ gates.Software comes in many forms. Finally, we realise the decoding circuit and recover the Weįurther implement logical Pauli operations with a fidelity of $97.2(2)\%$ Then, the arbitrary single-qubitĮrrors introduced manually are identified by measuring the stabilizers. States are prepared with an average fidelity of $57.1(3)\%$ while with a highįidelity of $98.6(1)\%$ in the code space. State, an indispensable resource for realising non-Clifford gates. The $\!]$ code for several typical logical states including the magic The encoding circuit, we employ an array of superconducting qubits to realise $\!]$ code, the so-called smallest perfect code that permitsĬorrections of generic single-qubit errors. ![]() To address this challenge, we experimentally realise the The capability for transversal manipulation of the logical state, and stateĭecoding. Of universal quantum error correcting code, with the subsequent verification ofĪll key features including the identification of an arbitrary physical error, Despite tremendous experimental efforts in the study of quantumĮrror correction, to date, there has been no demonstration in the realisation Download a PDF of the paper titled Experimental exploration of five-qubit quantum error correcting code with superconducting qubits, by Ming Gong and 21 other authors Download PDF Abstract: Quantum error correction is an essential ingredient for universal quantumĬomputing. ![]()
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