Using sideband transitions for two-qubit operations in superconducting circuits

Leek, Peter; Filipp, Stefan; Maurer, Patrick; Baur, M.; Bianchetti, R.; Fink, J. M.; Göppl, M.; Steffen, L.; Wallraff, Andreas

doi:10.1103/physrevb.79.180511

Cited by 195 publications

(222 citation statements)

References 31 publications

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“…Being excited by a resonant microwave field, they display one-photon transitions [44][45][46][47][48][49][50][51]. Alternatively, at smaller frequencies, the two-qubit systems can experience multiphoton transitions [52][53][54][55].…”

Section: Introductionmentioning

confidence: 99%

Multiphoton transitions in Josephson-junction qubits (Review Article)

Shevchenko¹,

Omelyanchouk²,

Il’ichev³

2012

Low Temperature Physics

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Two basic physical models, a two-level system and a harmonic oscillator, are realized on the mesoscopic scale as coupled qubit and resonator. The realistic system includes moreover the electronics for controlling the distance between the qubit energy levels and their populations and to read out the resonator's state, as well as the unavoidable dissipative environment. Such rich system is interesting both for the study of fundamental quantum phenomena on the mesoscopic scale and as a promising system for future electronic devices.We present recent results for the driven superconducting qubit -resonator system, where the resonator can be realized as an LC circuit or a nanomechanical resonator. Most of the results can be described by the semiclassical theory, where a qubit is treated as a quantum two-level system coupled to the classical driving field and the classical resonator. Application of this theory allows to describe many phenomena for the single and two coupled superconducting qubits, among which are the following: the equilibrium-state and weak-driving spectroscopy, Sisyphus damping and amplification, Landau-Zener-Stückelberg interferometry, the multiphoton transitions of both direct and ladder-type character, and creation of the inverse population for lasing. Contents

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Section: Introductionmentioning

confidence: 99%

Multiphoton transitions in Josephson-junction qubits (Review Article)

Shevchenko¹,

Omelyanchouk²,

Il’ichev³

2012

Low Temperature Physics

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“…As already pointed out, with respect to previous proposals [4] and realizations [14,16] in circuit QED, we emphasize that the sideband rate under an FC drive is of first order in g, rather than of second order. In this section, we calculate the evolution of the state of a target qubit k and of the resonator under a red sideband transition generated by an FC drive on k, the other qubit k merely acting as a spectator.…”

Section: Sideband Control With Fc Drivesmentioning

confidence: 83%

“…In practice, sideband transitions are realized by voltage-driving the resonator [4,15] or the qubit [14,16]. Because this type of drive can only cause transitions between states of different parity, and since the two states involved in any sideband transition have the same parity, voltage driving can only be used in a second order process [4].…”

Section: Introductionmentioning

confidence: 99%

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First-order sidebands in circuit QED using qubit frequency modulation

Beaudoin¹,

Silva²,

Dutton³

et al. 2012

Phys. Rev. A

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Sideband transitions have been shown to generate controllable interaction between superconducting qubits and microwave resonators. Up to now, these transitions have been implemented with voltage drives on the qubit or the resonator, with the significant disadvantage that such implementations only lead to second-order sideband transitions. Here we propose an approach to achieve first-order sideband transitions by relying on controlled oscillations of the qubit frequency using a flux-bias line. Not only can first-order transitions be significantly faster, but the same technique can be employed to implement other tunable qubit-resonator and qubit-qubit interactions. We discuss in detail how such first-order sideband transitions can be used to implement a high fidelity CNOT operation between two transmons coupled to the same resonator.

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“…The transition can be obtained with effective simultaneous red and blue sidebands acting upon the ions. The latter have been also demonstrated in a variety of superconducting setups [19][20][21]. Sequences of collective gates, together with local qubit rotations, can i andmplement stabilizer operators [22,23], that can allow for the implementation of topological codes [3].…”

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confidence: 99%

Many-Body Interactions with Tunable-Coupling Transmon Qubits

et al. 2014

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The efficient implementation of many-body interactions in superconducting circuits allows for the realization of multipartite entanglement and topological codes, as well as the efficient simulation of highly correlated fermionic systems. We propose the engineering of fast multiqubit interactions with tunable transmon-resonator couplings. This dynamics is obtained by the modulation of magnetic fluxes threading superconducting quantum interference device loops embedded in the transmon devices. We consider the feasibility of the proposed implementation in a realistic scenario and discuss potential applications.PACS numbers: 03.67. Lx, 42.50.Pq, 85.25.Cp Superconducting qubits coupled to transmission line resonators have proved to be physical systems well suited for quantum information processing [1, 2]. The coherent control performed on this kind of device at the quantum level has produced a series of remarkable results [3][4][5]. It has been proven that this quantum platform can reach ultrastrong-coupling regimes [6,7]. Among superconducting qubits, transmon qubits are currently the most robust and reliable. They are designed in order to suppress offset charge noise to negligible values [8]. Protocols of quantum information have been implemented, such as error correction up to three qubits [9] and experimental tests of fundamental quantum mechanics [10]. Implementations of quantum simulators of spin and coupled spin-boson systems have been recently proposed [11,12]. Complex entangled states encoded in superconducting transmon qubits have already been proposed and realized experimentally [13][14][15]. However, state-of-the-art realizations of many-qubit entangled states still rely on complex sequences of gates, and implementations of effective many-body interactions represent a tough challenge.The introduction of collective entangling operations in superconducting devices can ease several tasks of quantum information processing. They have been proposed theoretically [16] and realized experimentally in ion traps up to fourteen qubits [17]. Similarities between iontrap systems and superconducting circuits have been already investigated [18]. By means of collective gates, one can drive the generic many-qubit transition |00 · · · 0 → |11 · · · 1 and prepare multipartite Greenberger-HorneZeilinger states with a single operation. The transition can be obtained with effective simultaneous red and blue sidebands acting upon the ions. The latter have been also demonstrated in a variety of superconducting setups [19][20][21]. Sequences of collective gates, together with local qubit rotations, can i andmplement stabilizer operators [22,23], that can allow for the implementation of topological codes [3]. Recently it has been shown that collective qubit interactions allow for efficient simulation of fermionic dynamics and coupled fermionic-bosonic systems [4, 5].In this Letter, we propose the implementation of effective many-body interactions among several tunablecoupling transmons inside a microwave cavity. We consider thre...

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Using sideband transitions for two-qubit operations in superconducting circuits

Cited by 195 publications

References 31 publications

Multiphoton transitions in Josephson-junction qubits (Review Article)

Multiphoton transitions in Josephson-junction qubits (Review Article)

First-order sidebands in circuit QED using qubit frequency modulation

Many-Body Interactions with Tunable-Coupling Transmon Qubits

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