Optimizing Josephson-ring-modulator-based Josephson parametric amplifiers via full Hamiltonian control

Liu, Chenxu; Chien, Tzu-Chiao; Hatridge, Michael; Pekker, David

doi:10.1103/physreva.101.042323

Cited by 15 publications

(13 citation statements)

References 43 publications

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“…We attribute this to a combination of SNAIL-and communication-mode static and dynamic Kerr effects. This has strong parallels to saturation effects in parametric amplifiers 29,[38][39][40] , though here the primary consequence is just that we must track these shifts in our control electronics.…”

Section: Resultsmentioning

confidence: 99%

A modular quantum computer based on a quantum state router

Zhou¹,

Lu²,

Praquin³

et al. 2021

Preprint

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In this work, we present the design of a superconducting, microwave quantum state router which can realize all-to-all couplings among four quantum modules. Each module consists of a single transmon, readout mode, and communication mode coupled to the router. The router design centers on a parametrically driven, Josephson-junction based three-wave mixing element which generates photon exchange among the modules' communication modes. We first demonstrate SWAP operations among the four communication modes, with an average full-SWAP time of 760 ns and average inter-module gate fidelity of 0.97, limited by our modes' coherences. We also demonstrate photon transfer and pairwise entanglement between the modules' qubits, and parallel operation of simultaneous SWAP gates across the router. These results can readily be extended to faster and higher fidelity router operations, as well as scaled to support larger networks of quantum modules.

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Section: Resultsmentioning

confidence: 99%

A modular quantum computer based on a quantum state router

Zhou¹,

Lu²,

Praquin³

et al. 2021

Preprint

Self Cite

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“…[ 20 ] However, the former began to attract quite a lot of attention recently, [ 21–28 ] especially in connection with possible JTL traveling wave parametric amplification. [ 29–31 ]…”

Section: Introductionmentioning

confidence: 99%

“…[20] However, the former began to attract quite a lot of attention recently, [21][22][23][24][25][26][27][28] especially in connection with possible JTL traveling wave parametric amplification. [29][30][31] The interest in studies of discrete nonlinear electrical transmission lines, in particular of lossy nonlinear transmission lines, started some time ago, [32][33][34] but it became even more pronounced recently. [35][36][37][38] These studies should be seen in the general context of waves in strongly nonlinear discrete systems.…”

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confidence: 99%

The Kinks, the Solitons and the Shocks in Series‐Connected Discrete Josephson Transmission Lines

Kogan

2022

Physica Status Solidi (b)

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The concept that in a nonlinear wave propagation system the various parts of the wave travel with different velocities and that wave fronts (or tails) can sharpen into shock waves is deeply imbedded in the classical theory of fluid dynamics. [1] The methods developed in that field can be profitably used to study signal propagation in nonlinear transmission lines. [2][3][4][5][6][7][8][9][10][11] In the early studies of shock waves in transmission lines, the origin of nonlinearity was due to nonlinear capacitance in the circuit. [12][13][14] Interesting and potentially important examples of nonlinear transmission lines are circuits containing Josephson junctions (JJ), [15] Josephson transmission lines (JTL). [16][17][18][19] The unique nonlinear properties of JTL allow to construct soliton propagators, microwave oscillators, mixers, detectors, parametric amplifiers, and analog amplifiers. [17][18][19] Transmission lines formed by JJ connected in series were studied from 1990s, though much less than transmission lines formed by JJ connected in parallel. [20] However, the former began to attract quite a lot of attention recently, [21][22][23][24][25][26][27][28] especially in connection with possible JTL traveling wave parametric amplification. [29][30][31] The interest in studies of discrete nonlinear electrical transmission lines, in particular of lossy nonlinear transmission lines, started some time ago, [32][33][34] but it became even more pronounced recently. [35][36][37][38] These studies should be seen in the general context of waves in strongly nonlinear discrete systems. [39][40][41][42][43][44][45] In our previous publication, [46] we considered shock waves in the continuous JTL with resistors, studying the influence of those on the shock profile. Now we want to analyze wave propagation in the discrete JTL, both lossless and lossy.The rest of the article is constructed as follows. In Section 2, we formulate the approximation to the circuit equations of the discrete lossless JTL. In Section 3, we formulate the quasicontinuum approximation and show the analogy between the problem of the running waves and the problem of equilibrium of an elastic rod in the potential field. In Section 4, by simplifying the approximation, we reduce the problem of the running waves to an effective mechanical problem, describing motion of a fictitious particle in a potential well, and study the profiles of the kinks and of the solitons. In Section 5, we consider specifically weak kinks and weak solitons. In Section 6, we discuss the effect of dissipation on the running waves in the discrete JTL. In Section 7, we formulate the modified quasicontinuum approximation and, on top of it, the simple wave approximation, which opens the way to conveniently study nonstationary waves in the JTL. In Section 8, we obtain the nonlinear dispersion law, and in Section 9, we study the modulation stability of the wavetrains. In Section 10, we briefly mention possible applications of the results obtained in the article and

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“…These proposals include a graph-based scheme to optimise nonreciprocal circuits [13], quantum Hall effect based gyrators and circulators [14][15][16], parametric and traveling-wave parametric amplifiers [17][18][19][20][21][22][23][24], Josephson parametric converters [25], an interferometric Josephson isolator [26], a field programmable Josephson amplifier [27], mechanical circulators [28], reconfigurable circulators [29,30], a passive circulator [31], or others [32].…”

Section: Introductionmentioning

confidence: 99%

Chiral states and nonreciprocal phases in a Josephson junction ring

Asensio-Perea,

Parra-Rodriguez,

Kirchmair

et al. 2020

Preprint

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In this work, we propose how to load and manipulate chiral states in a Josephson junction ring in the so called transmon regimen. We characterise these states by their symmetry properties under time reversal and parity transformations. We describe an explicit protocol to load and detect the states within a realistic set of circuit parameters and show simulations that reveal the chiral nature. Finally, we explore the utility of these states in quantum technological nonreciprocal devices.

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Optimizing Josephson-ring-modulator-based Josephson parametric amplifiers via full Hamiltonian control

Cited by 15 publications

References 43 publications

A modular quantum computer based on a quantum state router

A modular quantum computer based on a quantum state router

The Kinks, the Solitons and the Shocks in Series‐Connected Discrete Josephson Transmission Lines

Chiral states and nonreciprocal phases in a Josephson junction ring

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