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Achieving effectively adiabatic dynamics is a ubiquitous goal in almost all areas of quantum physics. Here, we study the speed with which a quantum system can be driven when employing transitionless quantum driving. As a main result, we…

Quantum Physics · Physics 2017-08-09 Steve Campbell , Sebastian Deffner

In this work we derive novel ultrafast shortcuts for adiabatic rapid passage for a qubit where the only control variable is the longitudinal $z$-field, while the transverse $x$-field remains constant. This restrictive framework is pertinent…

Quantum Physics · Physics 2019-07-24 Dionisis Stefanatos , Emmanuel Paspalakis

Shortcut to adiabaticity (STA) is a speed way to produce the same final state that would result in an adiabatic, infinitely slow process. Two typical techniques to engineer STA are developed by either introducing auxiliary counterdiabatic…

Quantum Physics · Physics 2021-07-07 Jian-jian Cheng , Yao Du , Lin Zhang

Adiabatic passage employs a slowly varying time-dependent Hamiltonian to control the evolution of a quantum system along the Hamiltonian eigenstates. For processes of finite duration, the exact time evolving state may deviate from the…

Quantum Physics · Physics 2021-06-18 Albert Benseny , Klaus Mølmer

Ising spin Hamiltonians are often used to encode a computational problem in their ground states. Quantum Annealing (QA) computing searches for such a state by implementing a slow time-dependent evolution from an easy-to-prepare initial…

Quantum Physics · Physics 2022-05-02 Bin Yan , Nikolai A. Sinitsyn

The analytical expression for shortcuts to adiabaticity for any switching time and any thermally isolated system performing a finite-time and weakly driven process is presented. It is based on the analytical solution of the optimal…

Quantum Physics · Physics 2025-09-26 Pierre Nazé

For slow--fast quantum systems, we compute first corrections to the quantum action and to the effective slow Hamiltonian.

Mathematical Physics · Physics 2014-04-09 M. Karasev

A method for high-fidelity coherent adiabatic transport in a zig-zag tight-binding chain, based on application of two external periodic driving fields, is theoretically proposed. The method turns out to be robust against imperfections and…

Quantum Physics · Physics 2015-06-22 Stefano Longhi

We study the corrections to adiabatic dynamics of two coupled quantum dot spin-qubits, each dot singly occupied with an electron, in the context of a quantum computing operation. Tunneling causes double occupancy at the conclusion of an…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Ryan Requist , John Schliemann , Alexander G. Abanov , Daniel Loss

Efficient control schemes that enable fast, high-fidelity operations are essential for any practical quantum computation. However, current optimization protocols are intractable due to stringent requirements imposed by the microscopic…

Quantum Physics · Physics 2025-11-13 Christian Ventura Meinersen , Stefano Bosco , Maximilian Rimbach-Russ

Universal speeded-up adiabatic geometric quantum computation~(SAGQC) is studied in $\Lambda$-type three-level system with different coupling cases, i.e., time-dependent detuning, large detuning and one-photon resonance couplings,…

Quantum Physics · Physics 2019-09-04 J. L. Wu , S. L. Su

We propose a general, fully gate-based quantum algorithm for counterdiabatic driving. The algorithm does not depend on heuristics as in previous variational methods, and exploits regularisation of the adiabatic gauge potential to suppress…

Quantum Physics · Physics 2024-10-10 Dyon van Vreumingen

A shortcut to adiabaticity is a finite-time process that produces the same final state as would result from infinitely slow driving. We show that such shortcuts can be found for weak perturbations from linear response theory. With the help…

Statistical Mechanics · Physics 2015-10-28 Thiago V. Acconcia , Marcus V. S. Bonança , Sebastian Deffner

In recent quantum algorithmic developments, a feedback-based approach has shown promise for preparing quantum many-body system ground states and solving combinatorial optimization problems. This method utilizes quantum Lyapunov control to…

A major challenge in quantum computing is to solve general problems with limited physical hardware. Here, we implement digitized adiabatic quantum computing, combining the generality of the adiabatic algorithm with the universality of the…

The finite-time operation of a quantum heat engine that uses a single particle as a working medium generally increases the output power at the expense of inducing friction that lowers the cycle efficiency. We propose to scale up a quantum…

Quantum Physics · Physics 2016-12-01 M. Beau , J. Jaramillo , A. del Campo

Shortcuts to adiabaticity (STA) are fast methods to realize the same final state evolution of quantum adiabatic process. We develop a general theory to construct a new kind of STA by solely sampling the points of the adiabatic path of the…

Quantum Physics · Physics 2023-02-14 Yiyao Liu , Zhen-Yu Wang

Shortcuts to adiabaticity (STA) make the fast preparation of many-body states possible, circumventing the limitations of adiabatic strategies. We propose a fast STA protocol for generating interacting states in the Tomonaga-Luttinger liquid…

Quantum Physics · Physics 2025-03-25 Léonce Dupays , Adolfo del Campo

Shortcuts to adiabaticity provide fast protocols for quantum state preparation in which the use of auxiliary counterdiabatic controls circumvents the requirement of slow driving in adiabatic strategies. While their development is well…

Quantum Physics · Physics 2024-03-08 Kazutaka Takahashi , Adolfo del Campo

Confined electron spins are preferred candidates for embodying quantum information in the solid state. A popular idea is the use of optical excitation to achieve the ``best of both worlds'', i.e. marrying the long spin decoherence times…

Quantum Physics · Physics 2009-11-13 Erik M. Gauger , Simon C. Benjamin , Ahsan Nazir , Brendon W. Lovett