Universal holonomic quantum gates over geometric spin qubits with polarised microwaves

Kodai Nagata, Kouyou Kuramitani, Yuhei Sekiguchi and Hideo Kosaka ()
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Kodai Nagata: Yokohama National University
Kouyou Kuramitani: Yokohama National University
Yuhei Sekiguchi: Yokohama National University
Hideo Kosaka: Yokohama National University

Nature Communications, 2018, vol. 9, issue 1, 1-10

Abstract: Abstract A microwave shares a nonintuitive phase called the geometric phase with an interacting electron spin after an elastic scattering. The geometric phase, generally discarded as a global phase, allows universal holonomic gating of an ideal logical qubit, which we call a geometric spin qubit, defined in the degenerate subspace of the triplet spin qutrit. We here experimentally demonstrate nonadiabatic and non-abelian holonomic quantum gates over the geometric spin qubit on an electron or nitrogen nucleus. We manipulate purely the geometric phase with a polarised microwave in a nitrogen-vacancy centre in diamond under a zero-magnetic field at room temperature. We also demonstrate a two-qubit holonomic gate to show universality by manipulating the electron−nucleus entanglement. The universal holonomic gates enable fast and fault-tolerant manipulation for realising quantum repeaters interfacing between universal quantum computers and secure communication networks.

Date: 2018
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DOI: 10.1038/s41467-018-05664-w

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