Witnessing entanglement in trapped-ion quantum error correction under realistic noise
Quantum error correction (QEC) exploits redundancy by encoding logical information into multiple physical qubits. In current implementations of QEC, sequences of nonperfect two-qubit entangling gates are used to codify the information redundantly into multipartite entangled states. Also, to extract...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2024 |
| País: | España |
| Institución: | Consejo Superior de Investigaciones Científicas (CSIC) |
| Repositorio: | DIGITAL.CSIC. Repositorio Institucional del CSIC |
| OAI Identifier: | oai:digital.csic.es:10261/388314 |
| Acceso en línea: | http://hdl.handle.net/10261/388314 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85192689554&doi=10.1103%2fPhysRevA.109.052417&partnerID=40&md5=54d56f4c4fd512582cb816464d2c6ded |
| Access Level: | acceso abierto |
| Palabra clave: | Error correction Quantum entanglement Qubits 'current Encodings Entangled state Error modeling Error syndrome Physical qubits Quantum error corrections Trapped ion Two-qubit Two-qubit gates Trapped ions |
| Sumario: | Quantum error correction (QEC) exploits redundancy by encoding logical information into multiple physical qubits. In current implementations of QEC, sequences of nonperfect two-qubit entangling gates are used to codify the information redundantly into multipartite entangled states. Also, to extract the error syndrome, a series of two-qubit gates are used to build parity-check readout circuits. In the case of noisy gates, both steps cannot be performed perfectly, and an error model needs to be provided to assess the performance of QEC. We present a detailed microscopic error model to estimate the average gate infidelity of two-qubit light-shift gates used in trapped-ion platforms. We analytically derive leading-error contributions in terms of microscopic parameters and present effective error models that connect the error rates typically used in phenomenological accounts to the microscopic gate infidelities hereby derived. We then apply this realistic error model to quantify the multipartite entanglement generated by circuits that act as QEC building blocks. We do so by using entanglement witnesses, complementing in this way the recent studies in Ref. [Phys. Rev. X 12, 011032 (2022)2160-330810.1103/PhysRevX.12.011032; PRX Quantum 2, 020304 (2021)2691-339910.1103/PRXQuantum.2.020304] by exploring the effects of a more realistic microscopic noise. © 2024 American Physical Society. |
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