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Low Frequency Approximation for a class of Linear Quantum Systems using Cascade Cavity Realization
Quantum Linear Systems Model Reduction Cascade Realization
2011/10/10
Abstract: This paper presents a method for approximating a class of complex transfer function matrices corresponding to physically realizable complex linear quantum systems. The class of linear quantu...
Singular Perturbation Approximations for a Class of Linear Quantum Systems
Singular Perturbation Approximations Linear Quantum Systems Optimization and Control
2011/10/10
Abstract: This paper considers the use of singular perturbation approximations for a class of linear quantum systems arising in the area of linear quantum optics. The paper presents results on the phy...
Minimum-Time Quantum Transport with Bounded Trap Velocity
Minimum-Time Quantum Transport Bounded Trap Velocity Optimization and Control
2011/8/30
Abstract: We formulate the problem of efficient transport of a quantum particle trapped in a harmonic potential which can move with a bounded velocity, as a minimum-time problem on a linear system wit...
The power quantum calculus and variational problems
Quantum variational problems n q-power difference operator generalized Norlund sum
2011/8/23
Abstract: We introduce the power difference calculus based on the operator $D_{n,q} f(t) = \frac{f(qt^n)-f(t)}{qt^n -t}$, where $n$ is an odd positive integer and $0at...