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Quantum Control

by Jochen Trumpf, Sun Mon, Tue Wed Thu, Jan C. Willems, Matt James, An Introduction To, Ian Petersen
"... dissipative systems ..."
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dissipative systems

Quantum controllers for quantum systems

by Seth Lloyd
"... Abstract: Feedback control uses sensors to get information about a system, a controller to process that information, and actuators to supply controls. In the conventional picture of quantum feedback and feedforward control, sensors perform measurements on the system, a classical controller processes ..."
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Abstract: Feedback control uses sensors to get information about a system, a controller to process that information, and actuators to supply controls. In the conventional picture of quantum feedback and feedforward control, sensors perform measurements on the system, a classical controller

Quantum control and the Strocchi map

by R. Vilela Mendes, V. I. Man’ko , 2002
"... Identifying the real and imaginary parts of wave functions with coordinates and momenta, quantum evolution may be mapped onto a classical Hamiltonian system. In addition to the symplectic form, quantum mechanics also has a positive-definite real inner product which provides a geometrical interpretat ..."
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interpretation of the measurement process. Together they endow the quantum Hilbert space with the structure of a Käller manifold. Quantum control is discussed in this setting. Quantum timeevolution corresponds to smooth Hamiltonian dynamics and measurements to jumps in the phase space. This adds additional power

LIMITATIONS ON QUANTUM CONTROL

by Allan I. Solomon, Sonia G. Schirmer, A. I. Solomon, Sonia G. Schirmer , 2008
"... In this note we give an introduction to the topic of Quantum Control, explaining what its objectives are, and describing some of its limitations. 1. What is Quantum Control? The objectives of Quantum Control are to find ways to manipulate the time evolution of a quantum system such as to • drive an ..."
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In this note we give an introduction to the topic of Quantum Control, explaining what its objectives are, and describing some of its limitations. 1. What is Quantum Control? The objectives of Quantum Control are to find ways to manipulate the time evolution of a quantum system such as to • drive

Quantum Control of Dissipative Systems

by Schirmer And Solomon, S. G. Schirmer, A. I. Solomon
"... We study the e#ect of dissipation, i.e., uncontrollable interactions of a quantum system with the environment, on one's ability to control the system. In particular we show that dissipation, although often considered undesirable, opens up unique possibilities for quantum control by removing ..."
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We study the e#ect of dissipation, i.e., uncontrollable interactions of a quantum system with the environment, on one's ability to control the system. In particular we show that dissipation, although often considered undesirable, opens up unique possibilities for quantum control by removing

ON THE SEPARATION PRINCIPLE OF QUANTUM CONTROL

by LUC BOUTEN , RAMON VAN HANDEL , 2005
"... It is well known that continuous quantum measurements and nonlinear filtering can be developed within the framework of the quantum stochastic calculus of Hudson-Parthasarathy. The addition of real-time feedback control has been discussed by many authors, but never in a rigorous way. Here we introdu ..."
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It is well known that continuous quantum measurements and nonlinear filtering can be developed within the framework of the quantum stochastic calculus of Hudson-Parthasarathy. The addition of real-time feedback control has been discussed by many authors, but never in a rigorous way. Here we

Incoherent Quantum Control

by Er Pechen, Herschel Rabitz , 801
"... Conventional approaches for controlling open quantum systems use coherent control which affects the system’s evolution through the Hamiltonian part of the dynamics. Such control, although being extremely efficient for a large variety of problems, has limited capabilities, e.g., if the initial and de ..."
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Conventional approaches for controlling open quantum systems use coherent control which affects the system’s evolution through the Hamiltonian part of the dynamics. Such control, although being extremely efficient for a large variety of problems, has limited capabilities, e.g., if the initial

Quantum control in infinite dimensions ∗

by Witold Karwowski, R. Vilela Mendes , 2003
"... Accurate control of quantum evolution is an essential requirement for quantum state engineering, laser chemistry, quantum information and quantum computing. Conditions of controllability for systems with a finite number of energy levels have been extensively studied. By contrast, results for control ..."
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Accurate control of quantum evolution is an essential requirement for quantum state engineering, laser chemistry, quantum information and quantum computing. Conditions of controllability for systems with a finite number of energy levels have been extensively studied. By contrast, results

Quantum control and representation theory

by A. Ibort, J. M. Pérez-pardo
"... Abstract. A new notion of controllability for quantum systems that takes advantage of the linear superposition of quantum states is introduced. We call such notion von Neumann controllabilty and it is shown that it is strictly weaker than the usual notion of pure state and operator controlability. W ..."
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Abstract. A new notion of controllability for quantum systems that takes advantage of the linear superposition of quantum states is introduced. We call such notion von Neumann controllabilty and it is shown that it is strictly weaker than the usual notion of pure state and operator controlability

DISSIPATIVE QUANTUM CONTROL ∗

by Allan I. Solomon, Sonia G. Schirmer , 2004
"... Nature, in the form of dissipation, inevitably intervenes in our efforts to control a quantum system. In this talk we show that although we cannot, in general, compensate for dissipation by coherent control of the system, such effects are not always counterproductive; for example, the transformation ..."
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Nature, in the form of dissipation, inevitably intervenes in our efforts to control a quantum system. In this talk we show that although we cannot, in general, compensate for dissipation by coherent control of the system, such effects are not always counterproductive; for example
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