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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 extend the theory for a Josephson junction travelling wave parametric amplifier (TWPA) operating in the three-wave mixing regime and we propose a scheme for achieving high gain. The continuous three-mode model [P. K. Tien, J. Appl. Phys.…

We consider the discrete series-connected lossy Josephson transmission line, constructed from Josephson junctions, capacitors and resistors (one-dimensional array of Josephson junctions). We derive equations describing pump, signal, and…

Superconductivity · Physics 2024-07-01 Eugene Kogan

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

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 study the dynamics of a driven atomic Josephson junction that we propose as a parametric amplifier. By periodically modulating the position of the barrier, we induce a small current across the junction, serving as our input signal. The…

Quantum Gases · Physics 2026-05-29 Vijay Pal Singh , Luigi Amico , Ludwig Mathey

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 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

This paper presents a detailed theoretical review of the amplification process in Josephson Parametric Amplifiers (JPAs), which are crucial for quantum-limited signal amplification in superconducting circuits. The paper begins by outlining…

Quantum Physics · Physics 2025-07-31 Rajlaxmi Bhoite , Shraddhanjali Choudhury

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

Microwave parametric amplifiers based on Josephson junctions have become a key component of many quantum information experiments. One key limitation which has not been well predicted by theory is the gain saturation behavior which…

Quantum Physics · Physics 2017-12-06 G. Liu , T. -C. Chien , X. Cao , O. Lanes , E. Alpern , D. Pekker , M. Hatridge

In the last few years, several groups have proposed and developed their own platforms demonstrating quantum-limited linear parametric amplification, with evident applications in quantum information and computation, electrical and optical…

Superconductivity · Physics 2019-08-20 Luca Fasolo , Angelo Greco , Emanuele Enrico

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

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,…

Josephson-junction based parametric amplifiers have become a ubiquitous component in superconducting quantum machines. Although parametric amplifiers regularly achieve near-quantum limited performance, they have many limitations, including…

Quantum Physics · Physics 2020-05-06 T. -C. Chien , O. Lanes , C. Liu , X. Cao , P. Lu , S. Motz , G. Liu , D. Pekker , M. Hatridge

The recently proposed Josephson traveling-wave parametric amplifier (JTWPA) based on a ladder transmission line consisting of radio-frequency SQUIDs and exploiting three-wave mixing (3WM), has great potential in achieving both a gain of 20…

Quantum Physics · Physics 2022-11-30 Victor Gaydamachenko , Christoph Kissling , Ralf Dolata , Alexander B. Zorin

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

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

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…

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
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