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We extend the concept of quantum speed limit -- the minimal time needed to perform a driven evolution -- to complex interacting many-body systems. We investigate a prototypical many-body system, a bosonic Josephson junction, at increasing…

Ballistic transport of electrons through a quantum wire with a constriction is studied in terms of Bohm's interpretation of quantum mechanics, in which the concept of a particle orbit is permitted. The classical bouncing ball trajectories,…

Condensed Matter · Physics 2015-06-25 Hua Wu , D. W. L. Sprung

The development of quantum control methods is an essential task for emerging quantum technologies. In general, the process of optimizing quantum controls scales very unfavorably in system size due to the exponential growth of the Hilbert…

Quantum Physics · Physics 2019-10-07 Jun Li

Quantum transport is the study of the motion of electrons through nano-scale structures small enough that quantum effects are important. In this contribution I review recent theoretical proposals to use the techniques of quantum feedback…

Mesoscale and Nanoscale Physics · Physics 2015-07-21 Clive Emary

We consider the optimal control problem in a two-qubit system with bounded amplitude. Two cases are studied: quantum state preparation and entanglement creation. Cost functions, fidelity and concurrence, are optimized over bang-off controls…

Quantum Physics · Physics 2023-02-08 Xikun Li

Experiments directed towards the development of a quantum computer based on trapped atomic ions are described briefly. We discuss the implementation of single qubit operations and gates between qubits. A geometric phase gate between two ion…

Ultracold atoms confined by engineered magnetic or optical potentials are ideal systems for studying phenomena otherwise difficult to realize or probe in the solid state because their atomic interaction strength, number of species, density,…

Quantum Gases · Physics 2016-01-20 Chih-Chun Chien , Sebastiano Peotta , Massimiliano Di Ventra

In this work we derive a lower bound for the minimum time required to implement a target unitary transformation through a classical time-dependent field in a closed quantum system. The bound depends on the target gate, the strength of the…

Quantum Physics · Physics 2017-11-22 Christian Arenz , Benjamin Russell , Daniel Burgarth , Herschel Rabitz

We introduce a quantum teleportation scheme that can transfer a macroscopic spin coherent state between two locations. In the scheme a large number of copies of a qubit, such as realized in a coherent two-component Bose-Einstein condensate,…

Quantum Physics · Physics 2015-06-15 Alexey Pyrkov , Tim Byrnes

Understanding how to tailor quantum dynamics to achieve a desired evolution is a crucial problem in almost all quantum technologies. We present a very general method for designing high-efficiency control sequences that are always fully…

Quantum Physics · Physics 2020-03-30 Thales Figueiredo Roque , Aashish A. Clerk , Hugo Ribeiro

In various physical implementations of quantum information processing, qubits are realized in a Lambda type system configuration as two stable lower energy levels coupled indirectly via an unstable higher energy level, that is, in…

Quantum Physics · Physics 2025-11-11 Julia Cen , Domenico D'Alessandro

A procedure to enhance the quantum--classical correspondence even in situations far from the classical limit is proposed. It is based on controlling the quantum transport between classical regions using the capability to synthesize…

Quantum Physics · Physics 2007-05-23 Juan F. Poyatos , Gonzalo Garcia de Polavieja

We extend the work in New J. Phys. 19, 103015 (2017) by deriving a lower bound for the minimum time necessary to implement a unitary transformation on a generic, closed quantum system with an arbitrary number of classical control fields.…

Quantum Physics · Physics 2018-07-04 Juneseo Lee , Christian Arenz , Herschel Rabitz , Benjamin Russell

Optimal transport theory, originally developed in the 18th century for civil engineering, has since become a powerful optimization framework across disciplines, from generative AI to cell biology. In physics, it has recently been shown to…

Statistical Mechanics · Physics 2025-12-02 Shingo Oikawa , Yohei Nakayama , Sosuke Ito , Takahiro Sagawa , Shoichi Toyabe

We use the dynamical invariants associated with the Hamiltonian of an atom in a one dimensional moving trap to inverse engineer the trap motion and perform fast atomic transport without final vibrational heating. The atom is driven…

Quantum Physics · Physics 2011-02-18 E. Torrontegui , S. Ibáñez , Xi Chen , A. Ruschhaupt , D. Guéry-Odelin , J. G. Muga

Quantum speed limit focuses on the minimum time scale for a fixed mission and hence is important in quantum information where fast dynamics is usually beneficial. Most existing tools for the depiction of quantum speed limit are the…

Quantum Physics · Physics 2023-10-09 Mao Zhang , Huai-Ming Yu , Jing Liu

We present an overview of time-dependent transport phenomena in quantum systems, with a particular emphasis on steady-state regimes. We present the ideas after the main theoretical frameworks to study open-quantum systems out of…

Mesoscale and Nanoscale Physics · Physics 2025-12-15 Matteo Acciai , Liliana Arrachea , Janine Splettstoesser

We review methods to shuttle quantum particles fast and robustly. Ideal robustness amounts to the invariance of the desired transport results with respect to deviations, noisy or otherwise, from the nominal driving protocol for the control…

Quantum Physics · Physics 2021-08-11 Luke Qi , John Chiaverini , Hilario Espinós , Mikel Palmero , Juan Gonzalo Muga

Digital quantum computers offer a promising route for studying complex many-body systems that are otherwise inaccessible by their classical counterparts. Capabilities including mid-circuit measurements and feedback allow for simulating the…

The effective Heisenberg interaction of long distance is constructed in spin qubits connected to a bus of two strongly coupled chains. Universal quantum computation can be realized on the basis of the bus which always keeps frozen at the…

Quantum Physics · Physics 2009-11-13 Xiang Hao , Shiqun Zhu