Asymptotically Optimal Regular Synthesis of Reversible Logic Networks
نویسندگان
چکیده
We propose a network of generalized Toffoli gates with multiple EXORs for the realization of reversible functions. If implemented as a quantum circuit, the cost of such gates is shown to be only marginally higher than the cost of a Toffoli gate with a single EXOR and the same number of controls. The main result is a regular synthesis procedure which allows for the creation of asymptotically optimal reversible networks. However, asymptotic optimality does not necessarily mean absolute optimality. Thus, when the algorithm terminates, and a network is created, simplification procedures that may reduce the number of gates in the network can be applied.
منابع مشابه
Application of Permutation Group Theory in Reversible Logic Synthesis
This paper discusses various applications of permutation group theory in the synthesis of reversible logic circuits, consisting of Toffoli gates with negative control lines. First asymptotically optimal synthesis algorithm is described. An algorithm for the gate complexity reduction, based on equivalent replacements of gates compositions, is introduced. New approach for combining group theory b...
متن کاملReversible Logic Multipliers: Novel Low-cost Parity-Preserving Designs
Reversible logic is one of the new paradigms for power optimization that can be used instead of the current circuits. Moreover, the fault-tolerance capability in the form of error detection or error correction is a vital aspect for current processing systems. In this paper, as the multiplication is an important operation in computing systems, some novel reversible multiplier designs are propose...
متن کاملEfficient Genetic Based Methods for Optimizing the Reversible and Quantum Logic Circuits
Various synthesis methods have been proposed in the literature for reversible and quantum logic circuits. However, there are few algorithms to optimize an existing circuit with multiple constraints simultaneously. In this paper, some heuristics in genetic algorithms (GA) to optimize a given circuit in terms of quantum cost, number of gates, location of garbage outputs, and delay, are proposed. ...
متن کاملEfficient Genetic Based Methods for Optimizing the Reversible and Quantum Logic Circuits
Various synthesis methods have been proposed in the literature for reversible and quantum logic circuits. However, there are few algorithms to optimize an existing circuit with multiple constraints simultaneously. In this paper, some heuristics in genetic algorithms (GA) to optimize a given circuit in terms of quantum cost, number of gates, location of garbage outputs, and delay, are proposed. ...
متن کاملReversible Logic Synthesis Example using a Transformation Based Algorithm
Interest in quantum computing, nanotechnology, and low power consumption circuits is fueling the expanding research in reversible logic synthesis. A reversible function is one that generates a unique output vector for every input vector. Traditional circuits are designed with AND and OR gates that allow fan-outs and loop back results which often results in inefficient energy consumption. In con...
متن کامل