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Determining the state of a qubit on a timescale much shorter than its relaxation time is an essential requirement for quantum information processing. With the aid of a new type of non-degenerate parametric amplifier, we demonstrate the…

Quantum-limited Josephson parametric amplifiers are crucial components in circuit QED readout chains. The dynamic range of state-of-the-art parametric amplifiers is limited by signal-induced Stark shifts that detune the amplifier from its…

Quantum Physics · Physics 2019-05-29 V. V. Sivak , N. E. Frattini , V. R. Joshi , A. Lingenfelter , S. Shankar , M. H. Devoret

Josephson traveling wave parametric amplifiers with heterogeneously spaced junctions are theoretically investigated. We consider unit cells with three junctions and characterize their interaction by spatially displaced fields defined by…

Quantum Physics · Physics 2025-09-10 M. A. Gali Labarias , T. Yamada , Y. Nakashima , Y. Urade , J. Claramunt , K. Inomata

We provide a general method to find the Hamiltonian of a linear circuit in the presence of a nonlinearity. Focussing on the case of a Josephson junction embedded in a transmission-line resonator, we solve for the normal modes of the system…

Quantum Physics · Physics 2012-07-18 J. Bourassa , F. Beaudoin , Jay M. Gambetta , A. Blais

A directional superconducting parametric amplifier in the GHz frequency range is designed and analyzed, suitable for low-power read-out of microwave kinetic inductance detectors employed in astrophysics and when combined with a…

Superconductivity · Physics 2018-06-20 M. P. Westig , T. M. Klapwijk

Resonant phase-matched Josephson traveling-wave parametric amplifiers (RPM JTWPAs) play a key role in quantum computing and quantum information applications due to their low-noise, broadband amplification, and quadrature squeezing…

Quantum Physics · Physics 2026-05-14 M. A. Gali Labarias , T. Yamada , Y. Nakashima , Y. Urade , K. Inomata

We present a new quantum-limited Josephson-junction-based 3-wave-mixing parametric amplifier, the SNAIL Parametric Amplifier (SPA), which uses an array of SNAILs (Superconducting Nonlinear Asymmetric Inductive eLements) as the source of…

Quantum Physics · Physics 2018-12-21 N. E. Frattini , V. V. Sivak , A. Lingenfelter , S. Shankar , M. H. Devoret

Recently Yaakobi and co-workers [Phys. Rev. B 87, 144301 (2013)] theoretically studied four-wave mixing and parametric amplification in a nonlinear transmission line consisting of capacitively shunted Josephson junctions. By deriving and…

Superconductivity · Physics 2013-08-14 Saptarshi Chaudhuri , Jiansong Gao

One of the central challenges in the development of parametric amplifiers is the control of the dynamic range relative to its gain and bandwidth, which typically limits quantum limited amplification to signals which contain only a few…

Superconductivity · Physics 2014-02-21 C. Eichler , A. Wallraff

We present an experimental and theoretical analysis of the self- and cross-Kerr effect of extended plasma resonances in Josephson junction chains. We calculate the Kerr coefficients by deriving and diagonalizing the Hamiltonian of a linear…

We numerically investigate the behavior of a Josephson traveling wave parametric amplifier assuming a current-phase relation with a second--harmonic contribution. We find that varying the weight of harmonic terms in the Josephson current…

We have realized a microwave quantum-limited amplifier that is directional and can therefore function without the front circulator needed in many quantum measurements. The amplification takes place in only one direction between the input…

We present a way to achieve fully directional, quantum-limited phase-preserving amplification in a four-port, four-mode superconducting Josephson circuit by utilizing interference between six parametric processes that couple all four modes.…

We propose a flux-pumped superconducting parametric amplifier based on symmetrically threaded superconducting quantum interference devices (SQUIDs) that achieves a Kerr-free operating point under suitable drive conditions. Eliminating the…

Parametric conversion and amplification based on three-wave mixing are powerful primitives for efficient quantum operations. For superconducting qubits, such operations can be realized with a quadrupole Josephson junction element, the…

Superconductivity · Physics 2017-06-02 N. E. Frattini , U. Vool , S. Shankar , A. Narla , K. M. Sliwa , M. H. Devoret

Two-photon loss mechanisms often accompany a Kerr nonlinearity. The kinetic inductance exhibited by superconducting transmission lines provides an example of a Kerr-like nonlinearity that is accompanied by a nonlinear resistance of the…

Quantum Physics · Physics 2009-11-11 Bernard Yurke , Eyal Buks

High gain and large bandwidth of traveling-wave parametric amplifier exploiting the nonlinearity of Josephson Junctions can be achieved by fulfilling the so-called phase-matching condition. This condition is usually addressed by placing…

Superconductivity · Physics 2025-08-12 Emil Rizvanov , Samuel Kern , Pavol Neilinger , Miroslav Grajcar

Josephson parametric devices are widely used in superconducting quantum computing research but suffer from an inherent gain-bandwidth trade-off. This limitation is partly overcome by coupling the device to its input/output transmission line…

Quantum Physics · Physics 2026-05-18 Rui Yang , Zheng Shi , Zhirong Lin , Waltraut Wustmann

We present an impedance engineered Josephson parametric amplifier capable of providing bandwidth beyond the traditional gain-bandwidth product. We achieve this by introducing a positive linear slope in the imaginary component of the input…

Mesoscale and Nanoscale Physics · Physics 2016-02-03 Tanay Roy , Suman Kundu , Madhavi Chand , A. M. Vadiraj , A. Ranadive , N. Nehra , Meghan P. Patankar , J. Aumentado , A. A. Clerk , R. Vijay

It has recently become possible to encode the quantum state of superconducting qubits and the position of nanomechanical oscillators into the states of microwave fields. However, to make an ideal measurement of the state of a qubit, or to…

Mesoscale and Nanoscale Physics · Physics 2009-02-04 M. A. Castellanos-Beltran , K. D. Irwin , G. C. Hilton , L. R. Vale , K. W. Lehnert