Quantum-dot Cellular Automata (QCA) is an emerging and promising technology that provides significant improvements over CMOS. Recently QCA has been advocated as an applicant for implementing reversible circuits. However QCA, like other Nanotechnologies, suffers from a high fault rate. The main purpose of this paper is to develop a fault tolerant model of QCA circuits by redundancy in hardware a...

Cohn called a ring $R$ is reversible if whenever $ab = 0,$ then $ba = 0$ for $a,bin R.$ The reversible property is an important role in noncommutative ring theory‎. ‎Recently‎, ‎Abdul-Jabbar et al‎. ‎studied the reversible ring property on nilpotent elements‎, ‎introducing‎ the concept of commutativity of nilpotent elements at zero (simply‎, ‎a CNZ ring)‎. ‎In this paper‎, ‎we extend the CNZ pr...

We investigate parallelizable schemes for simulating dynamics of conservative systems admitting a decomposition into weakly coupled subsystems. A new method, related to Reversible Averaging [20], is introduced for constrained and unconstrained dynamics. Stability issues are discussed.

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Reversible logic has become one in all the promising analysis directions in low power dissipating circuit style within the past few years and has found its applications in low power CMOS style, cryptography, digital signal process, optical scientific discipline and engineering. This paper presents a quantum price economical reversible full adder gate and Reversible Decoder in engineering. This ...

The notion of reversible computation is attracting increasing interest becauseof its applications in diverse fields, in particular the study of programmingabstractions for reliable systems. In this paper, we continue the study un-dertaken by Danos and Krivine on reversible CCS by defining a reversiblehigher-order π-calculus, called rhoπ. We prove that reversibility in our cal-<l...

In this paper, we introduce a new method to realize symmetric functions with reversible circuits. In contrast to earlier methods, our solution deploys a simple and regular cascade structure composed of low-cost gates which enables significant reductions with respect to quantum costs. However, the number of garbage outputs increases slightly. To overcome this, we next propose an optimized design...