Tunable coupling of transmission-line microwave resonators mediated by an rf SQUID

Wulschner, F.; Goetz, Jan; Koessel, F. R.; Hoffmann, E.; Baust, A.; Eder, Peter; Fischer, M.; Haeberlein, M.; Schwarz, Martin; Pernpeintner, Matthias; Xie, Edwar; Zhong, L.; Zollitsch, Christoph W.; Peropadre, Borja; Ripoll, J.-J. García; Solano, E.; Fedorov, Kirill G.; Menzel, E. P.; Deppe, Frank; Marx, Achim; Gross, Rudolf

doi:10.48550/arxiv.1508.06758

Cited by 3 publications

(7 citation statements)

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“…To circumvent difficulties of reducing U towards 0, one may detach the qubit from the resonator to shut down photon interactions in the resonator completely and reach the limit U i = 0. Recent experiments 42,72 have shown ultrastrong tunable coupling between two TLRs and they support the estimation of hopping coefficients used here. On the other hand, in the ultrastrong coupling regime, different nonlinear effects 42,72,73 other than simple photon hopping could arise and validity for the BHM simulator breaks down.…”

Section: Acknowledgmentssupporting

confidence: 83%

“…Recent experiments 42,72 have shown ultrastrong tunable coupling between two TLRs and they support the estimation of hopping coefficients used here. On the other hand, in the ultrastrong coupling regime, different nonlinear effects 42,72,73 other than simple photon hopping could arise and validity for the BHM simulator breaks down. To explore the phase diagram of the BHM with a flat band, parameters of the simulator should remain in the weak coupling regime, where coupling between neighboring sites (photon hopping) is weaker compared to the on-site qubit-TLR coupling.…”

Section: Acknowledgmentssupporting

confidence: 83%

“…The coupling term V couple ij models a coupler SQUID consisting of two Josephson junctions, which gives rise to a sum of a fixed capacitive coupling and a tunable inductive coupling between neighboring sites 17,41,42 . Explicitly,…”

Section: Superconducting Circuit Simulatormentioning

confidence: 99%

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Superconducting circuit simulator of Bose-Hubbard model with a flat band

2016

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Recent advance in quantum simulations of interacting photons using superconducting circuits offers opportunities for investigating the Bose-Hubbard model in various geometries with hopping coefficients and self-interactions tuned to both signs. Here we investigate phenomena related to localized states associated with a flat-band supported by the saw-tooth geometry. A localization-delocalization transition emerges in the non-interacting regime as the sign of hopping coefficient is changed. In the presence of interactions, patterns of localized states approach a uniform density distribution for repulsive interactions while interesting localized density patterns can arise in strongly attractive regime. The density patterns indicate the underlying inhomogeneity of the simulator. Two-particle correlations can further distinguish the nature of the localized states in attractive and repulsive interaction regimes. We also survey possible experimental implementations of the simulator.Comment: 12 pages, 6 figure

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Section: Acknowledgmentssupporting

confidence: 83%

Section: Acknowledgmentssupporting

confidence: 83%

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Superconducting circuit simulator of Bose-Hubbard model with a flat band

2016

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“…However, their coupling is determined by the fixed geometric arrangement of the resonators, resulting in a static coupling g bs that can not be switched off. In order to make the coupling switchable, different schemes have been proposed theoretically [23,24] and implemented experimentally [13][14][15]. All these proposals are based on superconducting rings acting as tunable couplers (cf.…”

Section: Boson Sampling With Superconducting Circuitsmentioning

confidence: 99%

“…All the above operations can be performed deterministically and with high fidelity on state-of-the-art superconducting devices with little design modifications with respect to current setups [12]. As demonstrated independently in [13] and in [14,15], these missing ingredients are relatively easy to integrate in superconducting architectures. This guarantees the scalability of our proposal and suggest superconducting platforms as a major physical candidate to the realization of large scale boson sampling experiments.…”

Section: Introductionmentioning

confidence: 99%

Proposal for Microwave Boson Sampling

et al. 2016

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The first post-classical computation will most probably be performed not on a universal quantum computer, but rather on a dedicated quantum hardware. A strong candidate for achieving this is represented by the task of sampling from the output distribution of linear quantum optical networks. This problem, known as boson sampling, has recently been shown to be intractable for any classical computer, but it is naturally carried out by running the corresponding experiment. However, only small scale realizations of boson sampling experiments have been demonstrated to date. Their main limitation is related to the non-deterministic state preparation and inefficient measurement step. Here, we propose an alternative setup to implement boson sampling that is based on microwave photons and not on optical photons. The certified scalability of superconducting devices indicates that this direction is promising for a large-scale implementation of boson sampling and allows for more flexible features like arbitrary state preparation and efficient photon-number measurements.

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Towards quantum supremacy with lossy scattershot boson sampling

2016

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Boson sampling represents a promising approach to obtain evidence of the supremacy of quantum systems as a resource for the solution of computational problems. The classical hardness of Boson Sampling has been related to the so called Permanent-of-Gaussians Conjecture and has been extended to some generalizations such as Scattershot Boson Sampling, approximate and lossy sampling under some reasonable constraints. However, it is still unclear how demanding these techniques are for a quantum experimental sampler. Starting from a state of the art analysis and taking account of the foreseeable practical limitations, we evaluate and discuss the bound for quantum supremacy for different recently proposed approaches, accordingly to today's best known classical simulators.

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Tunable coupling of transmission-line microwave resonators mediated by an rf SQUID

Cited by 3 publications

References 0 publications

Superconducting circuit simulator of Bose-Hubbard model with a flat band

Superconducting circuit simulator of Bose-Hubbard model with a flat band

Proposal for Microwave Boson Sampling

Towards quantum supremacy with lossy scattershot boson sampling

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