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The nonadiabatic geometric quantum computation is promising as it is robust against certain types of local noises. However, its experimental implementation is challenging due to the need of complex control on multi-level and/or multiple…

Quantum Physics · Physics 2018-11-28 Tao Chen , Zheng-Yuan Xue

Nonadiabatic holonomic quantum computation has been proposed as a method to implement quantum logic gates with robustness comparable to that of adiabatic holonomic gates but with shorter execution times. In this paper, we establish an…

Quantum Physics · Physics 2024-06-26 Ole Sönnerborn

We provide rigorous bounds for the error of the adiabatic approximation of quantum mechanics under four sources of experimental error: perturbations in the initial condition, systematic time-dependent perturbations in the Hamiltonian,…

Quantum Physics · Physics 2009-11-13 Michael J. O'Hara , Dianne P. O'Leary

It is proposed that high-speed universal quantum gates can be realized by using non-Abelian holonomic transformation. A cyclic evolution path which brings the system periodically back to a degenerate qubit subspace is crucial to holonomic…

Quantum Physics · Physics 2017-01-31 Jun Jing , Chi-Hang Lam , Lian-Ao Wu

Realization of quantum computing requires the development of high-fidelity quantum gates that are resilient to decoherence, control errors, and environmental noise. While non-adiabatic holonomic quantum computation (NHQC) offers a promising…

Quantum Physics · Physics 2024-12-04 Zhihuang Kang , Shutong Wu , Kunji Han , Jiamin Qiu , Joel Moser , Jie Lu , Ying Yan

We investigate the non-adiabatic processes occurring during the manipulations of Majorana qubits in 1-D semiconducting wires with proximity induced superconductivity. Majorana qubits are usually protected by the excitation gap. Yet,…

Mesoscale and Nanoscale Physics · Physics 2013-09-03 Mathias S. Scheurer , Alexander Shnirman

We demonstrate accurate single-qubit control in an ensemble of atomic qubits trapped in an optical lattice. The qubits are driven with microwave radiation, and their dynamics tracked by optical probe polarimetry. Real-time diagnostics is…

Quantum Physics · Physics 2009-11-13 W. Rakreungdet , J. H. Lee , K. F. Lee , B. E. Mischuck , Enrique Montano , P. S. Jessen

We present a novel approach called the intermediate rotating wave approximation (IRWA), which employs a time-averaging method to encapsulate the dynamics of light-matter interaction from strong to ultrastrong coupling regime. In contrast to…

Quantum Physics · Physics 2015-02-11 Yimin Wang , Jing Yan Haw

We study a quantum dot strongly coupled to a single high-finesse optical microcavity mode. We use a rotating wave approximation method, commonly used in ion-laser interactions, tegether with the Lamb-Dicke approximation to obtain an…

Other Condensed Matter · Physics 2008-05-26 Jonas Larson , Hector Moya-Cessa

The rotating-wave approximation to light-matter interactions is widely used in the quantum electrodynamics Hamiltonian; however, its validity has long been a matter of debate. In this article, we explore the impact of the rotating-wave…

Quantum Physics · Physics 2024-03-04 Yi-Ting Chuang , Liang-Yan Hsu

We investigate the non-adiabatic implementation of an adiabatic quantum teleportation protocol, finding that perfect fidelity can be achieved through resonance. We clarify the physical mechanisms of teleportation, for three qubits, by…

Quantum Physics · Physics 2013-04-25 Sangchul Oh , Yun-Pil Shim , Jianjia Fei , Mark Friesen , Xuedong Hu

This paper studies composite quantum systems, like atom-cavity systems and coupled optical resonators, in the absence of external driving by resorting to methods from quantum field theory. Going beyond the rotating wave approximation, it is…

Mathematical Physics · Physics 2015-05-18 Andreas Kurcz , Antonio Capolupo , Almut Beige , Emilio Del Giudice , Giuseppe Vitiello

Nonadiabatic holonomic quantum computation provides the means to perform fast and robust quantum gates by utilizing the resilience of non-Abelian geometric phases to fluctuations of the path in state space. While the original scheme [New J.…

Quantum Physics · Physics 2016-11-14 Emmi Herterich , Erik Sjöqvist

Nonadiabatic geometric quantum computation is dedicated to the realization of high-fidelity and robust quantum gates, which are necessary for fault-tolerant quantum computation. However, it is limited by cyclic and mutative evolution path,…

Quantum Physics · Physics 2021-06-14 Li-Na Ji , Cheng-Yun Ding , Tao Chen , Zheng-Yuan Xue

The single-mode spin-boson model exhibits behavior not included in the rotating wave approximation (RWA) in the ultra and deep-strong coupling regimes, where counter-rotating contributions become important. We introduce a symmetric rotating…

Mesoscale and Nanoscale Physics · Physics 2012-03-14 Victor V. Albert , Gregory D. Scholes , Paul Brumer

Adiabatic geometric phase gates offer enhanced robustness against fluctuations compared to con- ventional Rydberg blockade-based phase gates that rely on dynamical phase accumulation. We theoretically demonstrate two- and multi-qubit phase…

Quantum Physics · Physics 2025-11-07 Sinchan Snigdha Rej , Bimalendu Deb

Recent experiments on quantum behavior in microfabricated solid-state systems suggest tantalizing connections to quantum optics. Several of these experiments address the prototypical problem of cavity quantum electrodynamics: a two-level…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 E. K. Irish , J. Gea-Banacloche , I. Martin , K. C. Schwab

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 measurement of the parity of two qubits is a primitive of quantum computing that allows creating deterministic entanglement. In the field of circuit quantum electrodynamics, a scheme to achieve parity measurement of two superconducting…

Quantum Physics · Physics 2012-05-10 Jing Yan Haw , Yimin Wang , Valerio Scarani

We demonstrate ultra-sensitive measurement of fluctuations in a surface-acoustic-wave~(SAW) resonator using a hybrid quantum system consisting of the SAW resonator, a microwave (MW) resonator and a superconducting qubit. The nonlinearity of…

Quantum Physics · Physics 2017-11-08 Atsushi Noguchi , Rekishu Yamazaki , Yutaka Tabuchi , Yasunobu Nakamura