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Superconducting circuits comprising Josephson junctions have spurred significant research activity due to their promise to realize scalable quantum computers. Effective Hamiltonians for these systems have traditionally been derived assuming…

Quantum Physics · Physics 2025-10-02 Thomas J. Maldonado , Alejandro W. Rodriguez , Hakan E. Türeci

The quantised Josephson junction equation that underpins the behaviour of charge qubits and other tunnel devices is usually derived through cannonical quantisation of the classical macroscopic Josephson relations. However, this approach may…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 D. A. Rodrigues , T. P. Spiller , J. F. Annett , B. L. Györffy

Building on the established methods for superconducting circuit quantization, we present a new theoretical framework for approximate numerical simulation of Josephson quantum circuits. Simulations based on this framework provide access to a…

Quantum Physics · Physics 2020-12-17 Andrew J. Kerman

Low-capacitance Josephson junction arrays in the parameter range where single charges can be controlled are suggested as possible physical realizations of the elements which have been considered in the context of quantum computers. We…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 Alexander Shnirman , Gerd Schoen , Ziv Hermon

We derive the effective hamiltonian for a charge-Josephson qubit in a circuit with no use of phenomenological arguments, showing how energy renormalizations induced by the environment appear with no need of phenomenological counterterms.…

Condensed Matter · Physics 2015-06-24 E. Paladino , F. Taddei , G. Giaquinta , G. Falci

The article suggests an experiment enabling to find the right theory of superconductivity.

Superconductivity · Physics 2014-03-21 I. M. Yurin

Superconducting circuits can exhibit quantized energy levels and long coherence times. Harnessing the anharmonicity offered by Josephson junctions, such circuits have been successfully employed as qubits, quantum limited amplifiers and…

Mesoscale and Nanoscale Physics · Physics 2025-06-24 Priya Sharma , Jens Koch , Eran Ginossar

We present a semi-classical method for determining the effective low-energy quantum Hamiltonian of weakly anharmonic superconducting circuits containing mesoscopic Josephson junctions coupled to electromagnetic environments made of an…

The recent experimental evidence for entangled states of two Josephson junction qubits is briefly discussed. It is argued that the interpretation of the experimental data strongly depends on the assumed theoretical model. Namely, the qubit…

Quantum Physics · Physics 2007-05-23 Robert Alicki

Josephson junctions constructed from superconductor-semiconductor-superconductor heterostructures have been used to realize a variety of voltage-tunable superconducting quantum devices, including qubits and parametric amplifiers. To date…

Mesoscale and Nanoscale Physics · Physics 2025-06-03 Utkan Güngördü , Rusko Ruskov , Silas Hoffman , Kyle Serniak , Andrew J. Kerman , Charles Tahan

Superconducting circuits incorporating Josephson elements represent a promising hardware platform for quantum technologies. Potential applications include scalable quantum computing, microwave quantum networks, and quantum-limited…

Recent advances in quantum information processing with superconducting qubits have fueled a growing demand for scaling and miniaturizing circuit layouts. Despite significant progress, predicting the Hamiltonian of complex circuits remains a…

In this proposal, we present an experimental setup based on superconducting circuits and Josephson junctions to explore the modification of Josephson coefficient in the presence of external magnetic field due to vacuum polarization of…

Superconductivity · Physics 2017-01-02 Ali Izadi Rad

We formulate a quantum waveguide theory of the Josephson effect in multiband superconductors, with special emphasis on iron-based materials. By generalizing the boundary conditions of the scattering problem, we first determine the Andreev…

Strongly Correlated Electrons · Physics 2015-12-09 Ciro Nappi , Francesco Romeo , Ettore Sarnelli , Roberta Citro

Canonical description of quantization effects observed at measurements on superconducting structures seems one of the most triumphant achievements of quantum mechanics. But impartial consideration uncovers incompleteness and inconsistency…

General Physics · Physics 2015-08-17 A. V. Nikulov

Using the pseudospin representation and the SU(2) phase operators we introduce a complex parameter to characterize both infinite and finite superconducting systems. While in the bulk limit the parameter becomes identical to the conventional…

Superconductivity · Physics 2007-05-23 Zafer Gedik

Low-capacitance Josephson junction systems as well as coupled quantum dots, in a parameter range where single charges can be controlled, provide physical realizations of quantum bits, discussed in connection with quantum computing. The…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Alexander Shnirman , Gerd Schoen

Stabilizer operations are at the heart of quantum error correction and are typically implemented in software-controlled entangling gates and measurements of groups of qubits. Alternatively, qubits can be designed so that the Hamiltonian…

Quantum Physics · Physics 2023-10-19 K. Dodge , Y. Liu , A. R. Klots , B. Cole , A. Shearrow , M. Senatore , S. Zhu , L. B. Ioffe , R. McDermott , B. L. T. Plourde

Flux-biased loops including one or more Josephson junctions are ubiquitous elements in quantum information experiments based on superconducting circuits. These quantum circuits can be tuned to implement a variety of Hamiltonians, with…

Superconductivity · Physics 2023-09-29 A. Miano , V. R. Joshi , G. Liu , W. Dai , P. D. Parakh , L. Frunzio , M. H. Devoret

Quantitative analysis of the Josephson effect is shown to provide direct information about phase fluctuations in the superconducting banks. Applying the analysis to the cuprates, substantial quantum fluctuations between d-wave and s-wave…

Superconductivity · Physics 2007-05-23 R. Hlubina , M. Grajcar , J. Mraz
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