Entanglement and its role in Shor's algorithm

Vivien M. Kendon, William J. Munro

Research output: Contribution to journalArticlepeer-review

25 Citations (Scopus)
11 Downloads (Pure)

Abstract

Entanglement has been termed a critical resource for quantum information processing and is thought to be the reason that certain quantum algorithms, such as Shor's factoring algorithm, can achieve exponentially better performance than their classical counterparts. The nature of this resource is still not fully understood: here we use numerical simulation to investigate how entanglement between register qubits varies as Shor's algorithm is run on a quantum computer. The shifting patterns in the entanglement are found to relate to the choice of basis for the quantum Fourier transform.
Original languageEnglish
Pages (from-to)630-640
Number of pages11
JournalQuantum Information & Computation
Volume6
Issue number7
Publication statusPublished - 30 Nov 2006

Keywords

  • entanglement
  • quantum computing
  • Shor's algorithm
  • qubits
  • classical counterpart
  • critical resources
  • quantum fourier transforms
  • quantum-information processing
  • Shor's algorithms
  • Shor's factoring algorithm
  • quantum entanglement

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