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We develop a concept of the traveling-wave Josephson parametric amplifier exploiting quadratic nonlinearity of a serial array of one-junction SQUIDs embedded in a superconducting transmission line. The external magnetic flux applied to the…

Superconductivity · Physics 2016-09-20 A. B. Zorin

We have developed a concept for a traveling-wave parametric amplifier driven by a magnetic flux wave. The circuit consists of a serial array of symmetric dc SQUIDs coupled inductively to a separate superconducting LC transmission line…

Superconductivity · Physics 2019-11-01 A. B. Zorin

Linear parametric amplification is a key operation in information processing. Our interest here is quantum-limited parametric amplification, $i.e.$, amplification of quantum signals while adding the minimum amount of noise allowed by…

Quantum Physics · Physics 2018-07-10 Ananda Roy , Michel Devoret

The advent of ultra-low noise microwave amplifiers revolutionized several research fields demanding quantum-limited technologies. Exploiting a theoretical bimodal description of a linear phase-preserving amplifier, in this contribution we…

Optimizing the performance of cryogenic quantum amplifiers is a key step toward achieving high-fidelity and scalable qubit readout. In this work, we present efficient and accurate modeling of a Josephson traveling-wave parametric amplifier…

Quantum Physics · Physics 2025-09-11 Likai Yang , Jennifer Wang , Mohamed Awida Hassan , Philip Krantz , Kevin P. O'Brien

We present a theory describing parametric amplification in a Josephson junction embedded transmission line. We will focus on the process of four-wave mixing under the assumption of an undepleted pump. However, the approach taken is quite…

Quantum Physics · Physics 2025-05-21 T. H. A. van der Reep

We present an efficient, accurate, and comprehensive analysis framework for generic, multi-port nonlinear parametric circuits, in the presence of dissipation from lossy circuit components, based on "quantum-adapted" X-parameters. We apply…

Quantum Physics · Physics 2022-12-01 Kaidong Peng , Rick Poore , Philip Krantz , David E. Root , Kevin P. O'Brien

Superconducting parametric amplifiers have great promise for quantum-limited readout of superconducting qubits and detectors. Until recently, most superconducting parametric amplifiers had been based on resonant structures, limiting their…

Superconductivity · Physics 2015-01-13 Saptarshi Chaudhuri , Jiansong Gao , Kent Irwin

An amplifier combining noise performances as close as possible to the quantum limit with large bandwidth and high saturation power is highly desirable for many solid state quantum technologies such as high fidelity qubit readout or high…

Superconducting traveling-wave parametric amplifiers (TWPAs) are increasingly used in various applications, including quantum computing, quantum sensing, and dark matter detection. However, one important characteristic of these amplifiers,…

Squeezing of the electromagnetic vacuum is an essential metrological technique used to reduce quantum noise in applications spanning gravitational wave detection, biological microscopy, and quantum information science. In superconducting…

Superconducting traveling-wave parametric amplifiers have emerged as highly promising devices for near-quantum-limited broadband amplification of microwave signals and are essential for high quantum-efficiency microwave readout lines.…

This short and opinionated review starts with a concept of quantum signals at microwave frequencies and focuses on the principle of linear parametric amplification. The amplification process arises from the dispersive nonlinearity of…

Mesoscale and Nanoscale Physics · Physics 2017-12-11 Michel Devoret , Ananda Roy

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

A quantum model for Josephson-based metamaterials working in the Three-Wave Mixing (3WM) and Four-Wave Mixing (4WM) regimes at the single-photon level is presented. The transmission line taken into account, namely Traveling Wave Josephson…

Superconductivity · Physics 2021-12-08 Angelo Greco , Luca Fasolo , Alice Meda , Luca Callegaro , Emanuele Enrico

We develop a quantum theory describing the input-output properties of Josephson traveling wave parametric amplifiers. This allows us to show how such a device can be used as a source of nonclassical radiation, and how dispersion engineering…

Quantum Physics · Physics 2017-07-12 Arne L. Grimsmo , Alexandre Blais

We develop a technique to overcome phase-mismatch in Josephson-junction traveling wave parametric amplifiers in order to achieve high gain over a broad bandwidth. Using "resonant phase matching," we design a compact superconducting device…

Superconductivity · Physics 2014-10-15 Kevin O'Brien , Chris Macklin , Irfan Siddiqi , Xiang Zhang

High-gain microwave amplifiers operating near quantum limit are crucial for development of quantum technology. However, a systematic theoretical modeling and simulations of their performance represent rather challenging tasks due to the…

Statistical Mechanics · Physics 2022-07-01 Artem Ryabov , Martin Žonda , Tomáš Novotný

Josephson traveling-wave parametric amplifiers (JTWPAs) are wideband, ultralow-noise amplifiers used to enable the readout of superconducting qubits. While individual JTWPAs have achieved high performance, behavior between devices is…

Computational Physics · Physics 2024-08-13 Samuel T. Elkin , Michael Haider , Thomas E. Roth

Josephson parametric amplifiers have become a critical tool in superconducting device physics due to their high gain and quantum-limited noise. Traveling wave parametric amplifiers (TWPAs) promise similar noise performance while allowing…

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