Quantum Lattice Gas Representation for Vector Solitons

Abstract

Quantum lattice gas algorithms are developed for the coupled-nonlinear Schrodinger (coupled-NLS) equations, equations that describe the propagation of pulses in birefringent fibers. When the cross-phase modulation factor is unity, the coupled-NLS reduce to the Manakov equations. The quantum lattice gas algorithm yields vector solitons for the fully integrable Manakov system that are in excellent agreement with exact results. Simulations are also presented for the interaction between a turbulent 2-soliton mode and a simple NLS 2-soliton mode. The quantum algorithm requires 4 qubits for each spatial node, with quantum entanglement required only between pairs of qubits through a unitary collision operator. The coupling between the qubits is achieved through a local phase change in the absolute value of the paired qubit wave functions. On symmetrizing the unitary streaming operators, the resulting quantum algorithm, which is unconditionally stable, is accurate to omicron(epsilon squared).

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2003
Accession Number
ADA445718

Entities

People

  • George Vahala
  • Jeffrey Yepez
  • Linda Vahala

Organizations

  • Air Force Research Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force Research Laboratories
  • Algorithms
  • Collisions
  • Computers
  • Couplings
  • Equations
  • Group Velocity
  • Mathematics
  • Numbers
  • Quantum Algorithms
  • Quantum Computers
  • Quantum Computing
  • Quantum Information
  • Quantum Information Science
  • Quantum Measurement
  • Schrodinger Equation
  • Wave Functions

Fields of Study

  • Physics

Readers

  • Linear Algebra
  • Quantum Dot Semiconductor Device Photonics and Graphene Optoelectronic Materials and THz Physics.
  • Wave Propagation and Nonlinear Chaotic Dynamics.

Technology Areas

  • Quantum Computing