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New Maximally Entangled States for Pattern-Association Through Evolutionary Processes in a Two-Qubit System

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Abstract

New set of maximally entangled states (Singh-Rajput MES), constituting orthonormal eigen bases, has been revisited and its superiority and suitability in pattern-association (Quantum Associative Memory, QuAM) have been demonstrated. Using these MES as memory states in the evolutionary process of pattern storage in a two-qubit system, it has been shown that the first two states of Singh-Rajput MES are useful for storing the pattern |11> and the last two of these MES are useful in storing the pattern |10> Recall operations of quantum associate memory (QuAM) have been conducted through evolutionary process in terms of unitary operators by separately choosing Singh-Rajput MES and Bell’s MES as memory states and it has been shown that Singh-Rajput MES as valid memory states for recalling the patterns in a two-qubit system are much more suitable than Bell’s MES.

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Acknowledgments

Author Manu Pratap Singh thankfully acknowledges the financial support of University Grants Commission (UGC), New Delhi (India) in the form of a major research project: MRP-Major-Comp-2013-39460.

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Authors and Affiliations

  1. Department of Computer Science, DR. B.R. Ambedkar University Agra, Institute of Engineering and Technology, Khandari Campus, Agra, UP, India

    Manu Pratap Singh

  2. Physics, Kumaun University, Nainital, I-11, Gamma-2, Greater Noida, UP, India

    Balwant S. Rajput

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  1. Manu Pratap Singh
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  2. Balwant S. Rajput
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Correspondence to Balwant S. Rajput.

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Singh, M.P., Rajput, B.S. New Maximally Entangled States for Pattern-Association Through Evolutionary Processes in a Two-Qubit System. Int J Theor Phys 56, 1274–1285 (2017). https://doi.org/10.1007/s10773-016-3269-3

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  • DOI: https://doi.org/10.1007/s10773-016-3269-3

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