Genuinely Multipartite Concurrence of N-qubit X Matrices (Author's Final Manuscript)

Abstract

We find an algebraic formula for the N-partite concurrence of N qubits in an X-matrix. X-matrices are density matrices whose only non-zero elements are diagonal or anti-diagonal when written in an orthonormal basis. We use our formula to study the dynamics of the N-partite entanglement of N remote qubits in generalized N-party Greenberger-Horne-Zeilinger (GHZ) states. We study the case when each qubit interacts with a local amplitude damping channel. It is shown that only one type of GHZ state loses its entanglement in finite time; for the rest, N-partite entanglement dies out asymptotically. Algebraic formulas for the entanglement dynamics are given in both cases. We directly confirm that the half-life of the entanglement is proportional to the inverse of N. When entanglement vanishes in finite time, the time at which entanglement vanishes can decrease or increase with N depending on the initial state. In the macroscopic limit, this time is independent of the initial entanglement.

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Document Details

Document Type
Technical Report
Publication Date
Dec 05, 2012
Accession Number
AD1028242

Entities

People

  • C. J. Broadbent
  • J. H. Eberly
  • M Huber
  • S. M. Hashemi Rafsanjani

Organizations

  • University of Rochester

Tags

DTIC Thesaurus Topics

  • Amplitude
  • Atoms
  • Computations
  • Decomposition
  • Dynamics
  • Ground State
  • Mathematics
  • New York
  • Phase Transformations
  • Physics
  • Probability
  • Quantum Computing
  • Reservoirs
  • Scaling Laws
  • Time Dependence
  • Time Intervals

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Quantum Dot Semiconductor Device Photonics and Graphene Optoelectronic Materials and THz Physics.
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.