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The impressive progress in fabricating and controlling superconducting devices for quantum information processing has reached a level where reliable theoretical predictions need to account for quantum correlations that are not captured by…

We present analytical solutions to three qubits and a single-mode cavity coupling system beyond the rotating-wave approximation (RWA). The zero-th order approximation gives correct solutions when the qubits are far detuned from the cavity.…

Quantum Physics · Physics 2016-07-20 Yu-Yu Zhang , Xiang-You Chen , Shu He , Qing-Hu Chen

We develop a coordinate invariant formalism which describes the mechanical and electromagnetic interaction of gravitational waves (GWs) with a wide class of resonant detectors. We solve the GW-modified equations of electrodynamics and…

General Relativity and Quantum Cosmology · Physics 2026-03-02 Jordan Gué , Tom Krokotsch , Gudrid Moortgat-Pick

Superconducting quantum circuits possess the ingredients for quantum information processing and for developing on-chip microwave quantum optics. From the initial manipulation of few-level superconducting systems (qubits) to their strong…

Superconductivity · Physics 2010-07-12 B. Peropadre , P. Forn-Diaz , E. Solano , J. J. Garcia-Ripoll

While the accuracy of qubit operations has been greatly improved in the last decade, further development is demanded to achieve the ultimate goal: a fault-tolerant quantum computer that can solve real-world problems more efficiently than…

Quantum Physics · Physics 2024-08-29 Kiyoto Nakamura , Joachim Ankerhold

We present a unified picture of dispersive readout of quantum systems in and out of equilibrium. A cornerstone of the approach is the backaction of the measured system to the cavity obtained with non-equilibrium linear-response theory. It…

Mesoscale and Nanoscale Physics · Physics 2018-08-29 Sigmund Kohler

We analyze the results of the test of $\pi/2$ qubit rotations on the public quantum computer provided by IBM. We measure a single qubit rotated by $\pi/2$ about a random axis, and we accumulate vast statistics of the results. The test…

Quantum Physics · Physics 2024-06-10 Tomasz Białecki , Tomasz Rybotycki , Jakub Tworzydło , Adam Bednorz

The proposal for quantum computing with rare-earth-ion qubits in inorganic crystals makes use of the inhomogeneous broadening of optical transitions in the ions to associate individual qubits with ions responding to radiation in selected…

Quantum Physics · Physics 2009-11-10 Ingela Roos , Klaus Molmer

We show how to achieve full spectral characterization of general multiaxis additive noise. Our pulsed spectral estimation technique is based on sequence repetition and frequency-comb sampling and is applicable even to models where a large…

Quantum Physics · Physics 2019-11-06 Gerardo A. Paz-Silva , Leigh M. Norris , Félix Beaudoin , Lorenza Viola

A phase-bias tool, based on a trapped fluxoid in a ring, is proposed and demonstrated. It can provide arbitrary phase values and is simple to fabricate. The phase bias has been realized in two superconducting quantum interference devices,…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. B. Majer , J. R. Butcher , J. E. Mooij

We study the effect of a time-dependent driving field with a large amplitude on a system composed of two coupled qubits (two-level systems). Using the rotating wave approximation (RWA) makes it possible to find simple conditions for…

Mesoscale and Nanoscale Physics · Physics 2014-10-07 A. M. Satanin , M. V. Denisenko , Sahel Ashhab , Franco Nori

In quantum computation, information is processed by gates that must coherently couple separate qubits. In many systems the qubits are naturally coupled, but such an always-on interaction limits the algorithms that may be implemented.…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Morteza Erfani , David G. Hasko , Alessandro Rossi , Wan Sik Cho , Jung-Bum Choi

Single flux quantum pulses are a natural candidate for on-chip control of superconducting qubits. We show that they can drive high-fidelity single-qubit rotations---even in leaky transmon qubits---if the pulse sequence is suitably…

Quantum Physics · Physics 2016-09-07 Per J. Liebermann , Frank K. Wilhelm

In this work, the anisotropic quantum Rabi model with different coupling strengths of the rotating-wave and counter-rotating wave terms is studied by using two kinds of extended coherent states (ECS). By the first kind of ECS, we can derive…

Quantum Physics · Physics 2015-02-03 Liwei Duan , Qing-Hu Chen

Time-domain observations of coherent oscillations between quantum states in mesoscopic superconducting systems were so far restricted to restoring the time-dependent probability distribution from the readout statistics. We propose a new…

Superconductivity · Physics 2009-11-07 Ya. S. Greenberg , A. Izmalkov , M. Grajcar , E. Il'ichev , W. Krech , H. -G. Meyer

Quantum state on Bloch sphere for superconducting charge qubit, phase qubit and flux qubit for all time in absence of external drive is stable to initial state. By driving the qubits, approximation of charge and flux Hamiltonian lead to…

Quantum Physics · Physics 2020-11-30 Javad Sharifi

In this paper we study up to which extent we can apply adiabatic control strategies to a quantum control model obtained by rotating wave approximation. In particular, we show that, under suitable assumptions on the asymptotic regime between…

Optimization and Control · Mathematics 2021-01-12 Nicolas Augier , Ugo Boscain , Mario Sigalotti

We consider the Bose-Hubbard model in two and three spatial dimensions and numerically compute the quantum circuit complexity of the ground state in the Mott insulator and superfluid phases using a mean field approximation with additional…

Quantum Physics · Physics 2022-04-20 Uday Sood , Martin Kruczenski

The quantum state of a flux qubit was successfully pulse-controlled by using a resonant microwave. We observed Ramsey fringes by applying a pair of phase-shifted pi/2 microwave pulses without introducing detuning. With this method, the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Tatsuya Kutsuzawa , Shiro Saito , Hirotaka Tanaka , Hayato Nakano , Kouichi Semba , Hideaki Takayanagi

We have developed quantitative description of quantum coherent oscillations in the system of two coupled qubits in the presence of weak decoherence that in general can be correlated between the two qubits. It is shown that in the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Kristian Rabenstein , Dmitri V. Averin