Derivation of test set for detecting multiple missing-gate faults in reversible circuits

  • Authors:
  • Dipak K. Kole;Hafizur Rahaman;Debesh K. Das;Bhargab B. Bhattacharya

  • Affiliations:
  • CSE Dept., St. Thomas' College of Engineering & Technology, Kolkata, India;Information Technology Department, Bengal Engineering & Science University, Shibpur, India;Dept. of Computer Sc. and Engg., Jadavpur University, Kolkata, India;ACM Unit, Indian Statistical Institute, Kolkata, India

  • Venue:
  • Computers and Electrical Engineering
  • Year:
  • 2013

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Abstract

Logic synthesis of reversible circuits has become an important problem because of its relevance to the emerging area of quantum computation. Special types of quantum gates such as k-CNOT may be deployed to implement a reversible circuit. Although the classical stuck-at fault model is widely used for modeling defects in conventional CMOS circuits, new approaches, namely single missing-gate fault (SMGF), repeated-gate fault (RGF), partial missing-gate fault (PMGF), and multiple missing-gate fault (MMGF), have been found to be more befitting for modeling defects in quantum k-CNOT gates. This article presents an algorithm to derive a test set (TS) for detection of multiple missing-gate faults in a reversible circuit implemented with k-CNOT gates. It is shown that TS is sufficient to detect all single missing-gate faults (SMGFs) and all detectable repeated gate faults (RGFs). Experimental results on test set for some benchmark circuits are reported, which compare favorably with earlier findings.