This has been the driving force leading to the design of reversible adder and multipliers using fredkin gate. Reversible logic fundamentals reversible gates basic. The most common reversible gates are the toffoli gate and the fredkin gate. Edward fredkin born is an american computer scientist and to come up with a new and fruitful.
Remote implementation of a fredkin gate via virtual. The model is based upon the fredkin gate, a reversible and conservative according to a definition. Furthermore, in the past fredkin gates have been constructed using dna, whose outputs are used as inputs for other fredkin gates. Pdf minimizing the resources required to build logic gates into useful. Implementations of twophoton fourqubit toffoli and fredkin gates. Adobe acrobat reader dc software is the free global standard for reliably viewing, printing, and commenting on pdf documents. It has inputs a, b, c and outputs x, y and z as shown in fig 1. We propose a scheme for linear optical quantum fredkin gate based on the combination of recently experimentally demonstrated linear optical partial swap gate and controlledz gates. Fredkin gate can be used to perform double fredkin gate operations on both the. Edward fredkin born is an american computer scientist and to come up with a new and fruitful way of looking at physics, feynman said, fredkin.
Quantum optical fredkin gate is an indispensable resource for networkable quantum applications. Many of the proposed methods may not be the optimal way to utilize the benefits of optical techniques. Pdf an efficient layout design of fredkin gate in quantumdot. Here we construct the fredkin gate using a combination of six twobody reversible quantum operators. In a reversible logic gate not only the outputs can be. Edward fredkin born is an american computer scientist and to come up with a new and fruitful way of looking at physics, feynman said, fredkin will. Optical fredkin gate assisted by quantum dot within. The gate is formed by a semiconductor optical amplifier based nonlinear. Depending on the context, the term may refer to an ideal logic gate.
The fredkin gate is a threequbit controlledswap gate, that is, if the control qubit is in. Both heralded gate and simplified postselected gate. The fredkin gate also cswap gate is a computational circuit suitable for reversible computing, invented by edward fredkin. An efficient layout design of fredkin gate in quantumdot cellular. A modified fredkin gate is proposed as a basic building block for lowenergy computing. Archived from the original pdf on october 17, 2006. Realizing our gate in this manner involves adding cpath gates to each input. Optimal synthesis of the fredkin gate in a multilevel system. We find that these additional gates reduce the average gate.
The fredkin gate also cswap gate is a computational circuit suitable for reversible. And now, its connected to the adobe document cloud. It seems like the fredkin gate was invented in 1974 or 1975, based on the book in the first reference. Edward fredkin born october 2, 1934 is a distinguished career professor at carnegie mellon university cmu, and an early pioneer of digital physics fredkin s primary contributions include work on reversible computing and cellular automata. The proposed fredkin gate consists of a photonic system single photon and quantum dots qds confined in singlesided cavities two electron spin states. Logic reversibility and thermodynamic irreversibility. A reversible logic gate is a memoryless logic element that realizes an injective logical function. He is the inventor of the trie data structure, the fredkin gate and the billiard ball model for reversible computing. One example of this is the quantum fredkin gate, which requires at least five twoqubit.
Pdf simulating the fredkin gate with energybased p systems. Classification and universality of reversible logic elements with. We suggest schemes allowing direct probabilistic realization of the fundamental toffoli and fredkin gates without resorting to a sequence of single and twoqubit gates. Fredkin is recognized as an authority in the field of artificial intelligence ai. Web to pdf convert any web pages to highquality pdf files while retaining page layout, images, text.
Implementation of a quantum controlledswap gate with. Fredkintoffoli templates for reversible logic synthesis. We introduce here a new optical gate the fredkin gate that is in principle minimally dissipative and. Microelectronics journal, 25 1994 437441 modified fredkin gates in logic design p. The novelty of the paper is the reversible designs of sequential circuits using fredkin gate. A scheme is proposed to directly implement the optical swap gate and quantum fredkin gate based on the machzehnder interferometer mzi. Modified fredkin gates in logic design sciencedirect. Toffoli gates, our work details the inclusion of nbit fredkin and. The distinct advantage of the present scheme is that ancilla singlephotons are not needed. This file is licensed under the creative commons attributionshare alike 3. One example of this is the quantum fredkin gate, which requires at least five two qubit gates 4 to be implemented in the standard circuit model. Inputs on the left, including two constants, go through three gates to. This control input is also an outp ut from fredkin gate.
Its the only pdf viewer that can open and interact with all types of pdf. Every boolean function can be build from 3 3 fredkin gates. Edward fredkin pdf list of computer science publications by edward fredkin. Mar 26, the quantum fredkin gate is a vital piece of quantum computing that was previously too complex to build, but scientists have found a way to. Fredkin gate, toffoli gate, interaction gate, and switch gate are typical ones. Brown, julian, the quest for the quantum computer, new york.
Since, fredkin gate has already been realized using dna, it is expected that this work will initiate the building of. Alternative approach of developing alloptical fredkin and. Pdf distinguishing between strings of data or waveforms is at the core of multiple applications in information technologies. Reversible logic synthesis with fredkin and peres gates. This article extends rmrls, a reversible logic synthesis tool, to include additional gate types. Essentially the modified fredkin gate is a simple crossover switch, but it. The fredkin gate plays an important role in both classical computing and quantum computing 1. Herein, a novel scheme is proposed for implementing a fredkin gate.
The authors propose threeinputoutput fredkin and toffoli gates. Use pdf download to do whatever you like with pdf files on the web and regain control. It therefore appears to be a good choice as a building block for future computers. Reversible gates several reversible gates have been proposed over the years, e. Toffoli gates 17, fredkin gates 5, peres gates 14, and elementary quantum.
Ed fredkin pdp1 restoration project computer history. Its performance in practical implementations, however, is. Demonstration of an alloptical fredkin gate sciencedirect. The g garbage output bit is p nor q if r0, and p nand q if r1. The toffoli gate is a threebit gate that inverts the state of a target bit conditioned on the state of two control bits, whereas the fredkin gate is a threebit gate that swaps the last two bits.
Pdf a quantuminspired fredkin gate based on spatial. While classic rmrls can synthesize functions using not, cnot, and nbit toffoli gates, our work details the inclusion of nbit fredkin and peres gates. In order to use quantum fredkin gate as part of a much larger quantum circuit with gates in series, it is preferable that the gate be heralded. The minimal cost of a threequbit fredkin gate is five twoqubit gates.
Linear optical fredkin gate based on partialswap gate. Fredkin gate fredkin gate is a fundamental concept in reversible and quantum computing. Essentially the modified fredkin gate is a simple crossover switch, but it has the potential to be implemented optically. While konrad zuses book, calculating space 1969, mentioned the importance of reversible computation, the fredkin gate. We demonstrate experimentally an alloptical fredkin gate that allows the implementation of reversible optical logic. Since, fredkin gate has already been realized using dna, it is expected that this work will initiate the. This is exemplified in the classical fredkin controlledswap gate for which, despite theoretical proposals, no quantum analogue has been. Simulating the fredkin gate with energybased p systems. Pdf fredkintoffoli templates for reversible logic synthesis. It is universal, which means that any logical or arithmetic operation can be constructed entirely of fredkin gates. Thus, it can be concluded that arbitrary circuits of fredkin gates can be constructed using dna. Wenqiang liu, hairui wei submitted on 7 apr 2020 abstract. Adobe acrobat reader dc download free pdf viewer for. A 3input and 3output reversible logic gate was proposed in 1.
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