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A common goal of quantum control is to maximize a physical observable through the application of a tailored field. The observable value as a function of the field constitutes a quantum control landscape. Previous works have shown, under…

量子物理 · 物理学 2014-03-20 Arun Nanduri , Ashley Donovan , Tak-San Ho , Herschel Rabitz

A quantum control landscape is defined as the physical objective as a function of the control variables. In this paper the control landscapes for two-level open quantum systems, whose evolution is described by general completely positive…

量子物理 · 物理学 2008-01-15 Alexander Pechen , Dmitrii Prokhorenko , Rebing Wu , Herschel Rabitz

A quantum control landscape is defined as the observable as a function(al) of the system control variables. Such landscapes were introduced to provide a basis to understand the increasing number of successful experiments controlling quantum…

量子物理 · 物理学 2009-05-04 Rebing Wu , Alexander Pechen , Herschel Rabitz , Michael Hsieh , Benjamin Tsou

The control of quantum system dynamics is generally performed by seeking a suitable applied field. The physical objective as a functional of the field forms the quantum control landscape, whose topology, under certain conditions, has been…

量子物理 · 物理学 2014-11-11 Arun Nanduri , Ofer M. Shir , Ashley Donovan , Tak-San Ho , Herschel Rabitz

A quantum control landscape is defined as the objective to be optimized as a function of the control variables. Existing empirical and theoretical studies reveal that most realistic quantum control landscapes are generally devoid of false…

量子物理 · 物理学 2013-04-01 Rebing Wu , Jason Dominy , Tak-San Ho , Herschel Rabitz

The reliable and precise generation of quantum unitary transformations is essential to the realization of a number of fundamental objectives, such as quantum control and quantum information processing. Prior work has explored the optimal…

量子物理 · 物理学 2010-07-21 Michael Hsieh , Rebing Wu , Herschel Rabitz , Daniel Lidar

The core problem in optimal control theory applied to quantum systems is to determine the temporal shape of an applied field in order to maximize the expectation of value of some physical observable. The functional which maps the control…

量子物理 · 物理学 2019-01-10 Martín Larocca , Pablo Poggi , Diego Wisniacki

The control of quantum systems has been proven to possess trap-free optimization landscapes under the satisfaction of proper assumptions. However, many details of the landscape geometry and their influence on search efficiency still need to…

量子物理 · 物理学 2024-09-27 Yidian Fan , Re-Bing Wu , Tak-San Ho , Gaurav V. Bhole , Herschel Rabitz

The ability to control quantum systems using shaped fields as well as to infer the states of such controlled systems from measurement data are key tasks in the design and operation of quantum devices. Here we associate the success of…

量子物理 · 物理学 2020-10-14 Christian Arenz , Herschel Rabitz

A controlled quantum system possesses a search landscape defined by the target physical objective as a function of the controls. This paper focuses on the landscape for the transition probability Pif between the states of a finite level…

化学物理 · 物理学 2015-05-27 Vincent Beltrani , Jason Dominy , Tak-San Ho , Herschel Rabitz

This work considers various families of quantum control landscapes (i.e. objective functions for optimal control) for obtaining target unitary transformations as the general solution of the controlled Schr\"odinger equation. We examine the…

量子物理 · 物理学 2013-07-03 Jason Dominy , Tak-San Ho , Herschel Rabitz

The broad success of optimally controlling quantum systems with external fields has been attributed to the favorable topology of the underlying control landscape, where the landscape is the physical observable as a function of the controls.…

量子物理 · 物理学 2015-06-03 Katharine W. Moore , Herschel Rabitz

A common goal in the sciences is optimization of an objective function by selecting control variables such that a desired outcome is achieved. This scenario can be expressed in terms of a control landscape of an objective considered as a…

量子物理 · 物理学 2017-02-08 Benjamin Russell , Herschel Rabitz

Quantum optimal control experiments and simulations have successfully manipulated the dynamics of systems ranging from atoms to biomolecules. Surprisingly, these collective works indicate that the effort (i.e., the number of algorithmic…

量子物理 · 物理学 2013-05-29 Katharine W. Moore , Herschel Rabitz

Many quantum control problems are formulated as a search for an optimal field that maximizes a physical objective. This search is performed over a landscape defined as the objective as a function of the control field. A recent Letter [A. N.…

量子物理 · 物理学 2012-05-09 Herschel Rabitz , Tak-San Ho , Ruixing Long , Rebing Wu , Constantin Brif

Many proposals have been put forth for controlling quantum phenomena, including open-loop, adaptive feedback, and real-time feedback control. Each of these approaches has been viewed as operationally, and even physically, distinct from the…

量子物理 · 物理学 2010-09-14 Alexander Pechen , Constantin Brif , Rebing Wu , Raj Chakrabarti , Herschel Rabitz

We present a comprehensive analysis of the landscape for full quantum-quantum control associated with the expectation value of an arbitrary observable of one quantum system controlled by another quantum system. It is shown that such full…

量子物理 · 物理学 2016-12-14 Qiuyang Sun , Re-Bing Wu , Tak-San Ho , Herschel Rabitz

In this work, we study the detailed structure of quantum control landscape for the problem of single-qubit phase shift gate generation on the fast time scale. In previous works, the absence of traps for this problem was proven on various…

量子物理 · 物理学 2025-02-21 Boris Volkov , Alexander Pechen

The control landscape of a quantum system $A$ interacting with another quantum system $B$ is studied. Only system $A$ is accessible through time dependent controls, while system B is not accessible. The objective is to find controls that…

量子物理 · 物理学 2019-05-22 Robert L. Kosut , Christian Arenz , Herschel Rabitz

The successful application of Quantum Optimal Control (QOC) over the past decades unlocked the possibility of directing the dynamics of quantum systems. Nevertheless, solutions obtained from QOC algorithms are usually highly irregular,…

量子物理 · 物理学 2020-02-26 Martin Larocca , Esteban A. Calzetta , Diego A. Wisniacki
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