Single-shot realization of nonadiabatic holonomic gates with a superconducting Xmon qutrit

  1. Zhenxing Zhang,
  2. P. Z. Zhao,
  3. Tenghui Wang,
  4. Liang Xiang,
  5. Zhilong Jia,
  6. Peng Duan,
  7. D.M. Tong,
  8. Yi Yin,
  9. and Guoping Guo
Nonadiabatic holonomic quantum computation has received increasing attention due to its robustness against control errors as well as high-speed realization. The original protocol of
nonadiabatic holonomic one-qubit gates has been experimentally demonstrated with superconducting transmon qutrit. However, the original protocol requires two noncommuting gates to realize an arbitrary one-qubit gate, which doubles the exposure time of gates to error sources and therefore makes the gates vulnerable to environment-induced decoherence. Single-shot protocol was subsequently proposed to realize an arbitrary one-qubit nonadiabatic holonomic gate. In this paper, we experimentally realize the single-shot protocol of nonadiabatic holonomic single qubit gates with a superconducting Xmon qutrit, where all the Clifford element gates are realized by a single-shot implementation. Characterized by quantum process tomography and randomized benchmarking, the single-shot gates reach a fidelity larger than 99%.

Experimental demonstration of work fluctuations along a shortcut to adiabaticity with a superconducting Xmon qubit

  1. Zhenxing Zhang,
  2. Tenghui Wang,
  3. Liang Xiang,
  4. Zhilong Jia,
  5. Peng Duan,
  6. Weizhou Cai,
  7. Ze Zhan,
  8. Zhiwen Zong,
  9. Jianlan Wu,
  10. Luyan Sun,
  11. Yi Yin,
  12. and Guoping Guo
In a `shortcut-to-adiabaticity‘ (STA) protocol, the counter-diabatic Hamiltonian, which suppresses the non-adiabatic transition of a reference `adiabatic‘ trajectory, induces
a quantum uncertainty of the work cost in the framework of quantum thermodynamics. Following a theory derived recently [Funo et al 2017 Phys. Rev. Lett. 118 100602], we perform an experimental measurement of the STA work statistics in a high-quality superconducting Xmon qubit. Through the frozen-Hamiltonian and frozen-population techniques, we experimentally realize the two-point measurement of the work distribution for given initial eigenstates. Our experimental statistics verify (i) the conservation of the average STA work and (ii) the equality between the STA excess of work fluctuations and the quantum geometric tensor.