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(27 citation statements)

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“…The earliest quantum control studies from the 1960s to the 1980s focused on (macroscopic) quantum ensembles in plasmas and laser devices, nuclear accelerators, and nuclear power plants [4] (mostly in former Soviet Union), in which the systems were modeled as quantum harmonic oscillators, which have little difference with those from classical systems [5, 6]. In the 1980s, Tarn's group completed a series of studies on general (linear or nonlinear) quantum systems in regard to modeling [7], controllability [8], invertibility [9], and quantum nondemolition filter problems [10]. In Europe, Belavkin's investigations [11][12][13] on the optimal estimation of quantum signals in quantum channels shows that quantum feedback control and optimal control is in principle feasible using quantum filters and nondemolition measurements.…”

mentioning

confidence: 99%

“…The earliest quantum control studies from the 1960s to the 1980s focused on (macroscopic) quantum ensembles in plasmas and laser devices, nuclear accelerators, and nuclear power plants [4] (mostly in former Soviet Union), in which the systems were modeled as quantum harmonic oscillators, which have little difference with those from classical systems [5, 6]. In the 1980s, Tarn's group completed a series of studies on general (linear or nonlinear) quantum systems in regard to modeling [7], controllability [8], invertibility [9], and quantum nondemolition filter problems [10]. In Europe, Belavkin's investigations [11][12][13] on the optimal estimation of quantum signals in quantum channels shows that quantum feedback control and optimal control is in principle feasible using quantum filters and nondemolition measurements.…”

mentioning

confidence: 99%

“…The early research on this topic can be traced back to 1980s. In [2,3], Tarn et al investigated modeling and controllability of quantum mechanical control systems. Rabitz et al discussed optimal control in quantum systems with emphasis on the quantum state transitions [4,5].…”

mentioning

confidence: 99%

“…Therefore, to implement any arbitrary quantum gate, we need to implement only single-and two-qubit gates. The single-qubit gates are defined on the Lie group S U (2). The control of S U(2) is the same as that of S O(3), the rotation matrix group, because S U(2) is a double cover of S O (3).…”

mentioning

confidence: 99%

“…The following quantum control system is derived by applying the geometric quantization method [55] to a classical bilinear control system [56], [31]:…”

confidence: 99%