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Scalable set of reversible parity gates for integer factorization.

Martin Lanthaler1, Benjamin E Niehoff2, Wolfgang Lechner1,2

  • 1Institute for Theoretical Physics, University of Innsbruck, Innsbruck, Austria.

Communications Physics
|April 26, 2024
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Summary
This summary is machine-generated.

We introduce reversible parity gates for quantum computing, enabling integer factorization for cryptography. This quantum approach reverses multiplication, offering a scalable solution for complex computations.

Keywords:
Quantum informationTheoretical physics

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Area of Science:

  • Quantum computing
  • Computer science
  • Cryptography

Background:

  • Classical microprocessors use irreversible gates for integer multiplication.
  • Integer factorization is crucial for modern cryptography.

Purpose of the Study:

  • To introduce parity versions of multiplication circuit components.
  • To enable quantum mechanical reversal of multiplication for integer factorization.

Main Methods:

  • Development of reversible parity gates based on parity transformation.
  • Utilizing ground-space encoding for gate logic.
  • Application of quantum optimization heuristics, such as adiabatic quantum computing.

Main Results:

  • Demonstration of parity gates for all components of a multiplication circuit.
  • Encoding binary multiplication logic using nearest-neighbor constraints and local fields.
  • Enabling quantum mechanical reversal of multiplication.

Conclusions:

  • The parity approach offers a modular and scalable method for quantum computation.
  • This technique has significant applications in breaking current cryptographic systems through integer factorization.