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Experimental verification of five-qubit quantum error correction with superconducting qubits | | Ming Gong
; Xiao Yuan
; Shiyu Wang
; Yulin Wu
; Youwei Zhao
; Chen Zha
; Shaowei Li
; Zhen Zhang
; Qi Zhao
; Yunchao Liu
; Futian Liang
; Jin Lin
; Yu Xu
; Hui Deng
; Hao Rong
; He Lu
; Simon C. Benjamin
; Cheng-Zhi Peng
; Xiongfeng Ma
; Yu-Ao Chen
; Xiaobo Zhu
; Jian-Wei Pan
; | | Date: |
10 Jul 2019 | | Abstract: | Quantum error correction is an essential ingredient for universal quantum
computing. 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 correction code (QECC), 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. To address this notoriously difficult challenge, we
push the limits of the depth of superconducting quantum circuits and
experimentally realise the universal five-qubit QECC, the so-called smallest
perfect code that permits corrections of generic single-qubit errors. In the
experiment, having optimised the encoding circuit, we employ an array of
superconducting qubits to realise the five-qubit QECC for several typical
logical states including the magic state, an indispensable resource for
realising non-Clifford gates. The encoded states are prepared with an average
fidelity of $57.1(3)\%$ while with a high fidelity of $98.6(1)\%$ in the code
space. Then, the arbitrary single-qubit errors introduced manually are
identified by measuring the stabilizers. We further implement logical Pauli
operations with a fidelity of $97.2(2)\%$ within the code space. Finally, we
realise the decoding circuit and recover the input state with a process
fidelity of $57.4(7)\%$. After decoding, by identifying errors via the
measurement of the four ancillae and then mathematically recovering the qubit
state, we verify the power of error correction of this code. Thus, by
demonstrating each key aspect of error correction with the five-qubit code, our
work establishes the viability of experimental quantum error correction with
superconducting qubits and paves the route to fault-tolerant quantum computing. | | Source: | arXiv, 1907.4507 | | Services: | Forum | Review | PDF | Favorites | |
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