Design of dedicated reversible quantum circuitry for square computation

H. V. Jayashree, Himanshu Thapliyal, Vinod Kumar Agrawal

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

13 Scopus citations

Abstract

Quantum computation is modeled by quantum circuits. All the quantum operations are reversible so the quantum circuits can be built using reversible logic gates. Reversible computing is the emerging technology, its major role is in the field of quantum computing, optical computing, and design of low power nanocircuits. The most frequently used computational unit for digital signal processing and multimedia applications is multiplier. To compute square of an operand, regular multipliers are used in general. This paper proposes a dedicated quantum circuit for computing square of an operand efficiently compared to the existing multipliers in the literature. The squaring unit is mathematically modeled and its metrics quantum cost, garbage outputs and ancilla input, gate count are calculated. We compared the proposed design with the existing multipliers to compute square and found that proposed square unit is efficient in terms of quantum cost, garbage outputs, ancilla inputs and gate count. The proposed reversible square circuit has 63% to 85% improvement of quantum cost, garbage outputs, ancilla inputs and gate count over existing reversible multiplier circuits.

Original languageEnglish
Title of host publicationProceedings - 27th International Conference on VLSI Design, VLSID 2014; Held Concurrently with 13th International Conference on Embedded Systems Design
Pages551-556
Number of pages6
DOIs
StatePublished - 2014
Event27th International Conference on VLSI Design, VLSID 2014 - Held Concurrently with 13th International Conference on Embedded Systems Design - Mumbai, India
Duration: Jan 5 2014Jan 9 2014

Publication series

NameProceedings of the IEEE International Conference on VLSI Design
ISSN (Print)1063-9667

Conference

Conference27th International Conference on VLSI Design, VLSID 2014 - Held Concurrently with 13th International Conference on Embedded Systems Design
Country/TerritoryIndia
CityMumbai
Period1/5/141/9/14

Keywords

  • Arithmetic circuits
  • Reversible logic
  • Toffoli gate

ASJC Scopus subject areas

  • Hardware and Architecture
  • Electrical and Electronic Engineering

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