Quantum State Tomography for Kerr Parametric Oscillators

被引：0
作者：
Suzuki Y. [1 ,2 ]
Kawabata S. [2 ,3 ]
Yamamoto T. [3 ,4 ]
Masuda S. [2 ,3 ]
机构：
[1] Department of Physics, Faculty of Science Division, Tokyo University of Science, 1-3 Kagurazaka, Shinjuku-ku, Tokyo
[2] Research Center for Emerging Computing Technologies (RCECT), National Institute of Advanced Industrial Science and Technology (AIST), 1-1-1, Umezono, Ibaraki, Tsukuba
[3] NEC-AIST Quantum Technology Cooperative Research Laboratory, National Institute of Advanced Industrial Science and Technology (AIST), Ibaraki, Tsukuba
[4] System Platform Research Laboratories, NEC Corporation, Kawasaki, Kanagawa
来源：
Physical Review Applied | 2023年 / 20卷 / 03期
关键词：
Compendex;
D O I：
10.1103/PhysRevApplied.20.034031
中图分类号：
学科分类号：
摘要：
Kerr parametric oscillators (KPOs) implemented in the circuit quantum electrodynamic architecture can operate as qubits. Their applications to quantum annealing and universal quantum computation have been studied intensively. For these applications, the readout of the state of KPOs is of practical importance. We develop a scheme of state tomography for KPOs with reflection measurement. Although it is known that the reflection coefficient depends on the state of the KPO, it is unclear whether tomography of a qubit encoded into a KPO can be performed in a practical way mitigating decoherence during the measurement, and how accurate it is. We show that the reflection coefficient has a one-to-one correspondence with a diagonal element of the density matrix of the qubit when a probe frequency is properly chosen and an additional single-photon drive is introduced. Thus, our scheme offers a novel way to read out the qubit along an axis of the Bloch sphere, and therefore the reflection measurement and single-qubit gates can constitute state tomography. © 2023 American Physical Society.
引用
收藏
相关论文
共 43 条
  • [1] Goto E., The parametron, a digital computing element which utilizes parametric oscillation, Proc. Inst. Radio Engrs, 47, (1959)
  • [2] Onyshkevych L. S., Kosonocky W. F., Lo A. W., Parametric phase-locked oscillator-characteristics and applications to digital systems, Trans. Inst. Radio Engrs, EC-8, (1959)
  • [3] Milburn G. J., Holmes C. A., Quantum coherence and classical chaos in a pulsed parametric oscillator with a Kerr nonlinearity, Phys. Rev. A, 44, (1991)
  • [4] Wielinga B., Milburn G. J., Quantum tunneling in a Kerr medium with parametric pumping, Phys. Rev. A, 48, (1993)
  • [5] Goto H., Bifurcation-based adiabatic quantum computation with a nonlinear oscillator network, Sci. Rep, 6, (2016)
  • [6] Goto H., Quantum computation based on quantum adiabatic bifurcations of Kerr-nonlinear parametric oscillators, J. Phys. Soc. Jpn, 88, (2019)
  • [7] Dykman M. I., Bruder C., Lorch N., Zhang Y., Interaction-induced time-symmetry breaking in driven quantum oscillators, Phys. Rev. B, 98, (2018)
  • [8] Rota R., Minganti F., Ciuti C., Savona V., Quantum Critical Regime in a Quadratically Driven Nonlinear Photonic Lattice, Phys. Rev. Lett, 122, (2019)
  • [9] Meaney C. H., Nha H., Duty T., Milburn G. J., Quantum and classical nonlinear dynamics in a microwave cavity, EPJ Quantum Technol, 1, (2014)
  • [10] Wang Z., Pechal M., Wollack E. A., Arrangoiz-Arriola P., Gao M., Lee N. R., Safavi-Naeini A. H., Quantum Dynamics of a Few-Photon Parametric Oscillator, Phys. Rev. X, 9, (2019)
12345