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We present fast algorithms to synthesize exact minimal reversible circuits for various types of gate and cost. By reducing reversible logic synthesis problems to permutation group problems, we use the powerful algebraic software GAP to solve such problems. Our approach can minimize for arbitrary cost functions of gates. In addition, we show that Peres gates are a better choice than the standard Toffoli gates in libraries of universal reversible gates. This work was supported by the NNSF of China under Grant 60773205 and the Fund of Cultivating Leading Scholars in UESTC.  相似文献
2.
Reversible logic plays an important role in quantum computing. Several papers have been recently published on universality of sets of reversible gates. However, a fundamental unsolved problem remains: “what is the minimum set of gates that are universal for n-qubit circuits without ancillae bits”. We present a library of 2 gates which is sufficient to realize all reversible circuits of n variables. It is a minimal library of gates for binary reversible logic circuits. We also analyze the complexity of the syntheses.  相似文献
3.
The problem of robust reliable H output feedback controller design is investigated for uncertain linear systems with sensor failures within a prespecified subset of sensors. The uncertainty considered here is time-varying norm-bounded parameter uncertainty in the state matrix. The output of a faulty sensor is assumed to be any arbitrary energy-bounded signal. An observer-based output feedback control design is presented which stabilizes the plant and guarantees an H norm bound on attenuation of augmented disturbances, for all admissible uncertainties as well as sensor failures. The construction of the observer-based output feedback control law requires the positive-definite solutions of two algebraic Riccati equations. The result can be regarded as an extension of existing results on robust H control and reliable H control of uncertain linear systems.  相似文献
4.
New robust and reliable H infinity control algorithms are suggested for discrete-time uncertain systems with time-varying norm-bounded parameter uncertainty in the state matrix as well as with actuator failure among a pre-specified subset of actuators. State feedback controllers can be obtained by deriving and solving modified parameter-dependent Riccati equations, which can stabilize the plant and guarantee a given H infinity-norm bound on attenuation of augmented disturbances - all admissible uncertainties as well as actuator failure. Two robust and reliable H infinity whether the process of fault accommodation is used or not. Performances of two controllers are evaluated through simulation studies for various failures. controllers are derived according to  相似文献
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