Quantum Modular Multiplication

Also Available Domains Arithmetic Core|Xilinx Vivado

Project Code :TVMATO1117

Objective

. In this paper, we proposed efficient quantum-classical modular multipliers and the first quantum-quantum modular multipliers that do not require a reduction stage by transforming the partial product used in multiplication utilizing bit-shift operation.

Abstract

Quantum modular multiplication circuit is one of the basic quantum computation circuits which is a basic function in quantum algorithm. However, since quantum-quantum modular multipliers require a high cost reversible modular inversion routine for modular multiplication, researchers have been unable to propose a feasible quantum-quantum modular multiplier. In this paper, we proposed efficient quantum-classical modular multipliers and the first quantum-quantum modular multipliers that do not require a reduction stage by transforming the partial product used in multiplication utilizing bit-shift operation. The proposed quantum modular multipliers show an improvement of 50% in terms of gates and circuit depth compared to the most recently proposed high-performance quantum modular multipliers.

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Block Diagram

Specifications

Specifications:

Software Requirements:

·         Xilinx ISE

Hardware Requirements:

·         Microsoft® Windows XP

·         Intel® Pentium® 4 processor or Pentium 4 equivalent with SSE support

·         512 MB RAM

·         100 MB of available disk space

Learning Outcomes

Learning Outcomes:

  • Basics of Digital Electronics
  • VLSI design Flow
  • Introduction to Quantum computing
  • Writing Verilog code.
  • Introduction to Combinational circuits in Quantum circuits.
  • Knowledge on classical and quantum-quantum multipliers.
  • Applications in real time

·         Xilinx tool for writing code, synthesis and simulation

·         Solution providing for real time problems

·         Project Development Skills:

o   Problem Analysis Skills

o   Problem Solving Skills

o   Logical Skills

o   Designing Skills

o   Testing Skills

o   Debugging Skills

o   Presentation Skills

o   Thesis Writing Skills

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