Circuits form‐valued classical, reversible and quantum optical computing with application to regular logic design

Abstract

PurposeThe purpose of this paper is to introduce an approach for m‐valued classical and non‐classical (reversible and quantum) optical computing. The developed approach utilizes new multiplexer‐based optical devices and circuits within switch logic to perform the required optical computing. The implementation of the new optical devices and circuits in the optical regular logic synthesis using new lattice and systolic architectures is introduced, and the extensions to quantum optical computing are also presented.Design/methodology/approachThe new linear optical circuits and systems utilize coherent light beams to perform the functionality of the basic logic multiplexer. The 2‐to‐1 multiplexer is a basic building block in switch logic, where in switch logic a logic circuit is implemented as a combination of switches rather than a combination of logic gates as in the gate logic, which proves to be less‐costly in synthesizing wide variety of logic circuits and systems. The extensions to quantum optical computing using photon spins and the collision of Manakov solitons are also presented.FindingsNew circuits for the optical realizations of m‐valued classical and reversible logic functions are introduced. Optical computing extensions to linear quantum computing using photon spins and nonlinear quantum computing using Manakov solitons are also presented. Three new multiplexer‐based linear optical devices are introduced that utilize the properties of frequency, polarization and incident angle that are associated with any light‐matter interaction. The hierarchical implementation of the new optical primitives is used to synthesize regular optical reversible circuits such as the m‐valued regular optical reversible lattice and systolic circuits. The concept of parallel optical processing of an array of input laser beams using the new multiplexer‐based optical devices is also introduced. The design of regular quantum optical systems using regular quantum lattice and systolic circuits is introduced. New graph‐based quantum optical representations using various types of quantum decision trees are also presented to efficiently represent quantum optical circuits and systems.Originality/valueThe introduced methods for classical and non‐classical (reversible and quantum) optical regular circuits and systems are new and interesting for the design of several future technologies that require optimal design specifications such as super‐high speed, minimum power consumption and minimum size such as in quantum computing and nanotechnology.

New dimensions in non‐classical neural computing, part II: quantum, nano, and optical

“…Several optical circuits and systems were introduced to implement optical computing (Al-Rabadi and Casperson, 2002;Al-Rabadi, 2004b, 2009Ayoub et al, 2004;Ayoub and Tokes, 2005;Bell Labs, 1998;Chen et al, 2006;Cuykendall and Andersen, 1987;Cuykendall and McMillin, 1987;Jakubowski, 1998;Shamir et al, 1986;Sokolov and Shubnikov, 1995;Tokes et al, 2003;Torok and Zarandy, 2006;Yariv, 1989;Yanik et al, 2003;Yu and Uang, 2003;Zheltikov, 2001). Since many optical devices are naturally physically reversible (Figure 13), i.e.…”

“…For fully understanding the underlying developments for QC, the following sub-sections present fundamental and comprehensive important developments of quantum representations and the consequent quantum operations ordered as follows (Al-Rabadi and Lendaris, 2003;Al-Rabadi, 2004b, 2009Cirac and Zoller, 1995;Dirac, 1930;Feynman, 1996;Griffiths, 1987;Muthukrishnan and Stroud, 2000;Nielsen and Chuang, 2000;Schiff, 1955;Schrödinger, 1926;Weinberg, 1995;Wilczek, 1999;Zee, 2003), the:…”

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“…The newly emerging CNT technology has been implemented in many new promising applications [4]- [7], [10]- [11], [15]- [19], [22], [26], [29], [34]. This includes TVs that are based on the field emission of CNTs that consume much less power, thinner and have much higher resolution than the best plasma-based TVs available, nano circuits based on CNTs such as CNT-based FETs that consume less power and are much faster than the available silicon-based FETs, carbon nanocoils that can be used as inductors in nanofilters and as nanosprings in nano dynamic systems, and CNT rings.…”

“…With future logic realization in technologies that are scaled down rapidly in size, the emphasis will be increasingly focused on the mutually linked issues of regularity, predictable timing, high testability, fast fault localization and self-repair [2], [3], [7], [31].…”

“…Nanotechnology is a new interdisciplinary field of research that cuts across several fields of engineering, chemistry, physics and biology, that analyzes and synthesizes systems in the nano scale (equal or less than 10 -9 m) such as nanoparticles, nanowires, nanosheets and carbon nanotubes (CNTs) [4], [5]- [7], [10], [11], [15]- [19], [22], [26], [29], [34], [36]- [38]. For example, nanocapsules that contain charged particles for better medical delivery has been proposed [34], methods for logic design that can be useful in nano integrated circuits have been presented [35], utilizing CNT field emission for scanning electron microscopy has been shown [11], the investigation of nanoelectronics has been presented [29], the potential uses of nanotubes in important future applications have been demonstrated [10], and the introduction of the important upcoming era of nanotechnology applications has been deeply manifested [19].…”