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Quantum controllers for quantum systems
"... 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
, 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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Cited by 4 (0 self)
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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
, 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
"... 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
, 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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Cited by 11 (2 self)
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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
, 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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Cited by 4 (0 self)
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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 ∗
, 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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Cited by 2 (0 self)
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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
"... 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 ∗
, 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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