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Native three-body interaction in superconducting circuits

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Native three-body interaction in superconducting circuits. / Pedersen, Simon Panyella; Christensen, Kasper Sangild; Zinner, Nikolaj Thomas.

I: Physical Review Research , Bind 1, Nr. 3, 033123, 11.2019.

Publikation: Bidrag til tidsskrift/Konferencebidrag i tidsskrift /Bidrag til avisTidsskriftartikelForskningpeer review

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@article{29e7397a695d46f6bb41cf9176b9d2d2,
title = "Native three-body interaction in superconducting circuits",
abstract = " We show how a superconducting circuit consisting of three identical, non-linear oscillators in series considered in terms of its electrical modes can implement a strong, native three-body interaction among qubits. Because of strong interactions, part of the qubit-subspace is coupled to higher levels. The remaining qubit states can be used to implement a restricted Fredkin gate, which in turn implements a CNOT-gate or a spin transistor. Including non-symmetric contributions from couplings to ground and external control we alter the circuit slightly to compensate, and find average fidelities for our implementation of the above gates above $ 99.5\% $ with operation times on the order of a nanosecond. Additionally we show how to analytically include all orders of the cosine contributions from Josephson junctions to the Hamiltonian of a superconducting circuit. ",
keywords = "cond-mat.supr-con, cond-mat.mes-hall",
author = "Pedersen, {Simon Panyella} and Christensen, {Kasper Sangild} and Zinner, {Nikolaj Thomas}",
note = "22 pages, 6 figures",
year = "2019",
month = nov,
doi = "10.1103/PhysRevResearch.1.033123",
language = "English",
volume = "1",
journal = " Physical Review Research ",
issn = "2643-1564",
publisher = "American Physical Society",
number = "3",

}

RIS

TY - JOUR

T1 - Native three-body interaction in superconducting circuits

AU - Pedersen, Simon Panyella

AU - Christensen, Kasper Sangild

AU - Zinner, Nikolaj Thomas

N1 - 22 pages, 6 figures

PY - 2019/11

Y1 - 2019/11

N2 - We show how a superconducting circuit consisting of three identical, non-linear oscillators in series considered in terms of its electrical modes can implement a strong, native three-body interaction among qubits. Because of strong interactions, part of the qubit-subspace is coupled to higher levels. The remaining qubit states can be used to implement a restricted Fredkin gate, which in turn implements a CNOT-gate or a spin transistor. Including non-symmetric contributions from couplings to ground and external control we alter the circuit slightly to compensate, and find average fidelities for our implementation of the above gates above $ 99.5\% $ with operation times on the order of a nanosecond. Additionally we show how to analytically include all orders of the cosine contributions from Josephson junctions to the Hamiltonian of a superconducting circuit.

AB - We show how a superconducting circuit consisting of three identical, non-linear oscillators in series considered in terms of its electrical modes can implement a strong, native three-body interaction among qubits. Because of strong interactions, part of the qubit-subspace is coupled to higher levels. The remaining qubit states can be used to implement a restricted Fredkin gate, which in turn implements a CNOT-gate or a spin transistor. Including non-symmetric contributions from couplings to ground and external control we alter the circuit slightly to compensate, and find average fidelities for our implementation of the above gates above $ 99.5\% $ with operation times on the order of a nanosecond. Additionally we show how to analytically include all orders of the cosine contributions from Josephson junctions to the Hamiltonian of a superconducting circuit.

KW - cond-mat.supr-con

KW - cond-mat.mes-hall

U2 - 10.1103/PhysRevResearch.1.033123

DO - 10.1103/PhysRevResearch.1.033123

M3 - Journal article

VL - 1

JO - Physical Review Research

JF - Physical Review Research

SN - 2643-1564

IS - 3

M1 - 033123

ER -