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This article deals with non-adiabatic processes (i.e. processes excluded by the adiabatic theorem) from the geometrical (group-theoretical) point of view. An approximated formula for the probabilities of the non-adiabatic transitions is…

Quantum Physics · Physics 2009-11-06 M. S. Marinov , E. Strahov

Due to its geometric nature, holonomic quantum computation is fault-tolerant against certain types of control errors. Although proposed more than a decade ago, the experimental realization of holonomic quantum computation is still an open…

Quantum Physics · Physics 2013-06-18 Guanru Feng , Guofu Xu , Guilu Long

Realistic quantum computing is subjected to noise. A most important frontier in research of quantum computing is to implement noise-resilient quantum control over qubits. Dynamical decoupling can protect coherence of qubits. Here we…

Quantum Physics · Physics 2013-10-16 Gang-Qin Liu , Hoi Chun Po , Jiangfeng Du , Ren-Bao Liu , Xin-Yu Pan

The presence of noise is currently one of the main obstacles to achieving large-scale quantum computation. Strategies to characterise and understand noise processes in quantum hardware are a critical part of mitigating it, especially as the…

Quantum Physics · Physics 2023-12-06 Emilio Onorati , Tamara Kohler , Toby S. Cubitt

A cavity QED implementation of the non-adiabatic holonomic quantum computation in decoherence-free subspaces is proposed with nitrogen-vacancy centers coupled commonly to the whispering-gallery mode of a microsphere cavity, where a…

Quantum Physics · Physics 2015-05-21 Jian Zhou , Wei-Can Yu , Yu-Mei Gao , Zheng-Yuan Xue

Counterdiabatic (CD) driving has the potential to speed up adiabatic quantum state preparation by suppressing unwanted excitations. However, existing approaches either require intractable classical computations or are based on…

Quantum Physics · Physics 2025-11-03 Jernej Rudi Finžgar , Simone Notarnicola , Madelyn Cain , Mikhail D. Lukin , Dries Sels

Big Data is characterized by Volume, Velocity, Veracity and Complexity. The interaction between this huge data is complex with an associated free will having dynamic and non linear nature. We reduced big data based on its characteristics,…

Other Computer Science · Computer Science 2018-05-30 Sahil Imtiyaz

Besides the traditional circuit-based model of quantum computation, several quantum algorithms based on a continuous-time Hamiltonian evolution have recently been introduced, including for instance continuous-time quantum walk algorithms as…

Quantum Physics · Physics 2007-05-23 Jeremie Roland , Nicolas J. Cerf

The execution of quantum circuits on real systems has largely been limited to those which are simply time-ordered sequences of unitary operations followed by a projective measurement. As hardware platforms for quantum computing continue to…

Simulations of quantum dynamics are a key application of near term quantum computing, but are hindered by the twin challenges of noise and small device scale, which limit the executable circuit depths and the number of qubits the algorithm…

Quantum Physics · Physics 2025-02-07 Vladyslav Bohun , Maxence Grandadam , Maciej Koch-Janusz

Counter-diabatic driving protocols were proposed as a means to do fast changes in the Hamiltonian without exciting transitions. Such driving in principle allows one to realize arbitrarily fast annealing protocols or implement fast…

Quantum Physics · Physics 2017-05-11 Dries Sels , Anatoli Polkovnikov

Quantum control, which refers to the active manipulation of physical systems described by the laws of quantum mechanics, constitutes an essential ingredient for the development of quantum technology. Here we apply Differentiable Programming…

Strongly Correlated Electrons · Physics 2021-06-16 Luuk Coopmans , Di Luo , Graham Kells , Bryan K. Clark , Juan Carrasquilla

Quantum walks have proven to be a universal model for quantum computation and to provide speed-up in certain quantum algorithms. The discrete-time quantum walk (DTQW) model, among others, is one of the most suitable candidates for circuit…

Quantum Physics · Physics 2024-04-10 Luca Razzoli , Gabriele Cenedese , Maria Bondani , Giuliano Benenti

Refocusing of a quantum system in NMR and quantum information processing can be achieved by application of short pulses according to the methods of spin echo and dynamical decoupling. However, these methods are strongly limited by the…

Quantum Physics · Physics 2016-02-29 Imdad S. B. Sardharwalla , Toby S. Cubitt , Aram W. Harrow , Noah Linden

Higher-dimensional quantum systems (qudits) offer advantages in information encoding, error resilience, and compact gate implementations, and naturally arise in platforms such as superconducting and solid-state systems. However, realistic…

Quantum Physics · Physics 2025-06-17 Yule Mayevsky , Akram Youssry , Ritik Sareen , Gerardo A. Paz-Silva , Alberto Peruzzo

We propose to measure nonadiabaticity of molecular quantum dynamics rigorously with the quantum fidelity between the Born-Oppenheimer and fully nonadiabatic dynamics. It is shown that this measure of nonadiabaticity applies in situations…

Chemical Physics · Physics 2012-06-28 Tomas Zimmermann , Jiri Vanicek

Quantum computation based on nonadiabatic geometric phases has attracted a broad range of interests, due to its fast manipulation and inherent noise resistance. However, it is limited to some special evolution paths, and the gate-times are…

Quantum Physics · Physics 2021-11-29 Cheng-Yun Ding , Li-Na Ji , Tao Chen , Zheng-Yuan Xue

We investigate the quantum speed limit (QSL) of a single superconducting qubit subjected to pure dephasing induced by bistable random telegraph noise (RTN), a common environmental disturbance in solid state quantum systems. Using an exactly…

Quantum Physics · Physics 2025-04-23 Maryam Hadipour

Quantum kernel methods (QKMs) offer an appealing framework for machine learning on near-term quantum computers. However, QKMs generically suffer from exponential concentration, requiring an exponential number of measurements to resolve the…

Strongly Correlated Electrons · Physics 2025-08-15 Ayana Sarkar , Martin Schnee , Roya Radgohar , Mojde Fadaie , Victor Drouin-Touchette , Stefanos Kourtis

Resilience to noise and to decoherence processes is an important ingredient for the implementation of quantum information processing, and quantum technologies. To this end, techniques such as pulsed and continuous dynamical decoupling have…

Quantum Physics · Physics 2016-12-02 Itsik Cohen , Nati Aharon , Alex Retzker