Optically simulating a quantum associative memory

Abstract

This paper discusses the realization of a quantum associative memory using linear integrated optics. An associative memory produces a full pattern of bits when presented with only a partial pattern. Quantum computers have the potential to store large numbers of patterns and hence have the ability to far surpass any classical neural network realization of an associative memory. In this work two 3-qubit associative memories will be discussed using linear integrated optics. In addition, corrupted, invented and degenerate memories are discussed.

Applications of Singh-Rajput Mes in Recall Operations of Quantum Associative Memory for a Two- Qubit System

“…Ventura and Martinez addressed the issue of associative memories and showed that Quantum Computer (QC) could effectively realize these devices [8,26]. Discussing the realization of quantum associative memory (QuAM), two 3-qubit associative memories have been incorporated and the corrupted, invented, and degenerate memories have been discussed [27]. The storage and recall mechanism of QuAM are fundamentally different from the traditional associative schemes such as Hopfield, bidirectional associative memory (BAM) etc.…”

“…Thus Bell's states do not provide a suitable choice as memory states for memory recall mechanism of QuAM. Let us examine the suitability of a MES as memory state |ψ 0 > for recalling the memory associated with a given partial pattern by the recall mechanism [27]:…”

Quantum Computation through Entangling Single Photons in Multipath Interferometers

“…Therefore, we examine algorithms which require few QND operations. One example is a Grover's search algorithm [3,5,6,25,26]. The primary function of Grover's search algorithm is to take some initial state ji͘ and transform it into some target state jt͘.…”

“…The symmetric fiber coupler performs the discrete Fourier transform (DFT) in the subcircuits [5,6] and will be denoted F a where the subscript a denotes which subcircuit. The matrix elements of the DFT are given by where j, k have values 0, 1 .…”

“…PACS numbers: 03.67.Lx, 03.65.Bz, 42.25.Hz, 42.50.Dv One of the simplest systems for studying quantum computation is based upon single photons and linear optics. The unitary evolution of single photons in linear networks has been used to simulate the evolution of typical quantum computers [1][2][3][4][5][6]. It has been shown that linear optics can realize any unitary transformation on single photons [2].…”