Parametric Phase-Locked OscillatorߞCharacteristics and Applications to Digital Systems

Onyshkevych, L.; Kosonocky, Walter F.; Lo, Adrian C.

doi:10.1109/tec.1959.5222684

Cited by 18 publications

(4 citation statements)

References 1 publication

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“…where a and b(in) v b t abbreviate a(t) and b(in) v b t (0), respectively, and we formally extended the lower limit of k to −∞ in equation (1). Now, we assume that an input microwave is applied from the TL attached to the parametron.…”

Section: Reflection Coefficientmentioning

confidence: 99%

“…Classical parametric phase-locked oscillators [1], called parametrons [2], were operated as classical bits in digital computers in the 1950s and 1960s. Recently, parametrons in the single-photon Kerr regime [3], where the nonlinearity is larger than the decay rate, have been attracting much attention in terms of their applications to quantum information processing.…”

Section: Introdunctionmentioning

confidence: 99%

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Theoretical study of reflection spectroscopy for superconducting quantum parametrons

Masuda,

Yamaguchi,

Yamaji

et al. 2021

Preprint

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Superconducting parametrons in the single-photon Kerr regime, also called KPOs, have been attracting increasing attention in terms of their applications to quantum annealing and universal quantum computation. It is of practical importance to obtain information of superconducting parametrons operating under an oscillating pump field. Spectroscopy can provide information of a superconducting parametron under examination, such as energy level structure and occupation of energy levels, and also useful information for calibration of the pump field. We theoretically study the reflection spectroscopy of superconducting parametrons, and develop a method to obtain the reflection coefficient. We present formulae of the reflection coefficient, the nominal external and the internal decay rates, and examine the obtained spectra.

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Section: Reflection Coefficientmentioning

confidence: 99%

Section: Introdunctionmentioning

confidence: 99%

Theoretical study of reflection spectroscopy for superconducting quantum parametrons

Masuda,

Yamaguchi,

Yamaji

et al. 2021

Preprint

View full text Add to dashboard Cite

show abstract

“…Parametric phase-locked oscillators 1 , which are also called parametrons 2 , can store binary digital information as the phase of the self-oscillation when they are driven via a periodic modulation of their circuit element. Parametrons were actually operated as classical bits in digital computers in 1950s and 1960s until the transistor acquired the solid stability.…”

Section: Introductionmentioning

confidence: 99%

Controls of a superconducting quantum parametron under a strong pump field

Masuda

Ishikawa

Matsuzaki

et al. 2021

Sci Rep

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Pumped at approximately twice the natural frequency, a Josephson parametric oscillator called parametron or Kerr parametric oscillator shows self-oscillation. Quantum annealing and universal quantum computation using self-oscillating parametrons as qubits were proposed. However, controls of parametrons under the pump field are degraded by unwanted rapidly oscillating terms in the Hamiltonian, which we call non-resonant rapidly oscillating terms (NROTs) coming from the violation of the rotating wave approximation. Therefore, the pump field can be an intrinsic origin of the imperfection of controls of parametrons. Here, we theoretically study the influence of the NROTs on the accuracy of controls of a parametron: a cat-state creation and a single-qubit gate. It is shown that there is a trade-off relationship between the suppression of the nonadiabatic transitions and the validity of the rotating wave approximation in a conventional approach. We also show that the tailored time dependence of the detuning of the pump field can suppress both of the nonadiabatic transitions and the disturbance of the state of the parametron due to the NROTs.

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“…Parametric phase-locked oscillators [1], which are also called parametrons [2], can store binary digital information as the phase of the self-oscillation when they are driven via a periodic modulation of their circuit element. Parametrons were actually operated as bits in digital computers in 1950 and 1960s until the transistor acquired the solid stability.…”

Section: Introductionmentioning

confidence: 99%

Controls of a superconducting quantum parametron under a strong pump field

Masuda,

Ishikawa,

Matsuzaki

et al. 2020

Preprint

View full text Add to dashboard Cite

Pumped at approximately twice the natural frequency, a Josephson parametric oscillator called parametron or Kerr parametric oscillator shows self-oscillation. Quantum annealing and universal quantum computation using self-oscillating parametrons as qubits were proposed. However, controls of parametrons under the pump field are degraded by unwanted rapidly oscillating terms in the Hamiltonian, which is called counter rotating terms (CRTs) coming from the violation of the rotating wave approximation. Therefore, the pump field can be an intrinsic origin of the imperfection of controls of parameterons. Here, we theoretically study the effect of the CRTs on the accuracy of controls of a parametron: creation of a cat state and a single qubit gate along the x axis. It is shown that there is a trade-off relationship between the suppression of the nonadiabatic transitions and the validity of the rotating wave approximation in a conventional approach. We show that the tailored time dependence of the detuning of the pump field can suppress both of the nonadiabatic transitions and the disturbance of the state of the parametron due to the CRTs.

show abstract

Parametric Phase-Locked OscillatorߞCharacteristics and Applications to Digital Systems

Cited by 18 publications

References 1 publication

Theoretical study of reflection spectroscopy for superconducting quantum parametrons

Theoretical study of reflection spectroscopy for superconducting quantum parametrons

Controls of a superconducting quantum parametron under a strong pump field

Controls of a superconducting quantum parametron under a strong pump field

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