Quantum noise in reversible soliton logic

Anas N. Al‐Rabadi

Purpose The purpose of this paper is to introduce an approach form‐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/approach The 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. Findings New circuits for the optical realizations ofm‐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 them‐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/value The 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.

Franz X. Kärtner, H. A. Haus

L.-M. Duan, Guang‐Can Guo

Asher Peres

This article is concerned with the construction of a quantum-mechanical Hamiltonian describing a computer. This Hamiltonian generates a dynamical evolution which mimics a sequence of elementary logical steps. This can be achieved if each logical step is locally reversible (global reversibility is insufficient). Computational errors due to noise can be corrected by means of redundancy. In particular, reversible error-correcting codes can be embedded in the Hamiltonian itself. An estimate is given for the minimum amount of entropy which must be dissipated at a given noise level and tolerated error rate.

Victor V. Kozlov, Andrey B. Matsko, Victor Smirnov

Cancellation of excess noise of quantum optical solitons is based on successive passage of a soliton through an optical fiber with positive nonlinearity and negative dispersion and then through a near-resonant two-level systems with negative nonlinearity and positive dispersion. An evolution of a quantum fluctuation in one medium will be reversed in the other. In such a way, the unwanted excess noise due to self- phase modulation in optical fibers can be fully suppressed leading to a radical improvement of accuracy of quantum nondemolition measurements of optical solitons. A detailed discussion of the compensation method with thorough numerical estimations for existing resonant media is provided.

Eduard Schmidt, L. Knöll, Dirk‐Gunnar Welsch