Encoding a qubit in a trapped-ion mechanical oscillator.

Nature
C FlühmannJonathan P Home

Abstract

The stable operation of quantum computers will rely on error correction, in which single quantum bits of information are stored redundantly in the Hilbert space of a larger system. Such encoded qubits are commonly based on arrays of many physical qubits, but can also be realized using a single higher-dimensional quantum system, such as a harmonic oscillator1-3. In such a system, a powerful encoding has been devised based on periodically spaced superpositions of position eigenstates4-6. Various proposals have been made for realizing approximations to such states, but these have thus far remained out of reach7-11. Here we demonstrate such an encoded qubit using a superposition of displaced squeezed states of the harmonic motion of a single trapped 40Ca+ ion, controlling and measuring the mechanical oscillator through coupling to an ancillary internal-state qubit12. We prepare and reconstruct logical states with an average squared fidelity of 87.3 ± 0.7 per cent. Also, we demonstrate a universal logical single-qubit gate set, which we analyse using process tomography. For Pauli gates we reach process fidelities of about 97 per cent, whereas for continuous rotations we use gate teleportation and achieve fidelities of approximately ...Continue Reading

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Citations

Jun 22, 2019·Science·S C BurdD T C Allcock
Sep 26, 2020·Physical Review Letters·Wen-Long MaLiang Jiang
Dec 7, 2019·Physical Review Letters·Ben Q BaragiolaNicolas C Menicucci
Feb 1, 2020·Optics Letters·Jacob HastrupUlrik Lund Andersen
Sep 11, 2020·Physical Review Letters·Kyungjoo NohLiang Jiang
Aug 17, 2020·Physical Review Letters·Giacomo PantaleoniNicolas C Menicucci
Jan 25, 2020·Physical Review Letters·Dan-Bo ZhangZ D Wang
May 16, 2020·Physical Review Letters·H C J GanDzmitry Matsukevich
Jul 9, 2020·Physical Review Letters·Ryotatsu YanagimotoHideo Mabuchi
Aug 21, 2020·Nature·P Campagne-IbarcqM H Devoret
Nov 26, 2019·Physical Review Letters·Matthias WittemerTobias Schaetz
Jun 13, 2020·Physical Review Letters·Nicolò Lo PiparoWilliam J Munro
Nov 4, 2020·Scientific Reports·B G Markaida, L-A Wu
Jan 16, 2021·Physical Review Letters·Baptiste RoyerS M Girvin
Apr 3, 2021·Physical Review Letters·Yi-Jun ChangXian-Min Jin
May 1, 2021·Physical Review Letters·Jacob HastrupUlrik Lund Andersen
Jul 10, 2021·Physical Review Letters·Jonas KellerDietrich Leibfried
Jul 10, 2021·Physical Review Letters·Alistair R MilneMichael J Biercuk
Aug 24, 2021·Physical Review Letters·Nicholas L R SpongCharles S Adams
Oct 6, 2021·Nature·Laird EganChristopher Monroe
Oct 19, 2019·Science·Mikkel V LarsenUlrik L Andersen
Nov 26, 2019··Victor V. AlbertJacob P. Covey

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