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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

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

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

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

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

Josephson parametric converters (JPCs) are superconducting devices capable of performing nondegenerate, three-wave mixing in the microwave domain without losses. One drawback limiting their use in scalable quantum architectures is the large…

Superconductivity · Physics 2017-02-22 Baleegh Abdo , Jose M. Chavez-Garcia , Markus Brink , George Keefe , Jerry M. Chow

Low-noise amplification atmicrowave frequencies has become increasingly important for the research related to superconducting qubits and nanoelectromechanical systems. The fundamental limit of added noise by a phase-preserving amplifier is…

Mesoscale and Nanoscale Physics · Physics 2014-05-21 Pasi Lähteenmäki , Visa Vesterinen , Juha Hassel , G. S. Paraoanu , Heikki Seppä , Pertti Hakonen

Josephson meta-materials have recently emerged as very promising platform for superconducting quantum science and technologies. Their distinguishing potential resides in ability to engineer them at sub-wavelength scales, which allows…

Due to their unique properties as lossless, nonlinear circuit elements, Josephson junctions lie at the heart of superconducting quantum information processing. Previously, we demonstrated a two-layer, submicrometer-scale overlap junction…

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 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

We report the parametric amplification of a microwave signal in a Kerr medium formed from superconducting qubits. Two mutually coupled flux qubits, embedded in the current antinode of a superconducting coplanar waveguide resonator, are used…

Superconductivity · Physics 2015-06-18 M. Rehak , P. Neilinger , M. Grajcar , G. Oelsner , U. Hubner , E. Ilichev , H. -G. Meyer

A quantum-limited amplifier enables the amplification of weak signals while introducing minimal noise dictated by the principles of quantum mechanics. These amplifiers serve a broad spectrum of applications in quantum computing, including…

Quantum Physics · Physics 2024-06-26 Abdul Mohamed , Elham Zohari , Jarryd J. Pla , Paul E. Barclay , Shabir Barzanjeh

Broadband quantum-limited amplifiers are essential for quantum information processing, yet challenges in design and fabrication continue to hinder their widespread applications. Here, we introduce the broadband merged-element Josephson…

Quantum Physics · Physics 2025-06-18 Yuting Sun , Xianke Li , Qingyu Wang , Tairong Bai , Xudong Liao , Dong Lan , Jie Zhao , Yang Yu

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 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 junction parametric amplifiers are playing a crucial role in the readout chain in superconducting quantum information experiments. However, their integration with current 3D cavity implementations poses the problem of…

Quantum Physics · Physics 2014-07-23 A. Narla , K. M. Sliwa , M. Hatridge , S. Shankar , L. Frunzio , R. J. Schoelkopf , M. H. Devoret

Quantum-limited amplifiers, such as Josephson Traveling Wave Parametric Amplifiers (JTWPAs) and Josephson Parametric Amplifiers (JPAs), are essential components in quantum computers. They amplify low-power microwave signals from qubits at…

Quantum Physics · Physics 2025-08-27 Emre Küçükyılmaz , Mehmet Ünlü , Ali Bozbey

Josephson parametric amplifiers (JPAs) approaching quantum-limited noise performance have been instrumental in enabling high fidelity readout of superconducting qubits and, recently, semiconductor quantum dots (QDs). We propose that the…

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