Evolution of pairwise entanglement in a coupled n-body system (6 pages)

@article{Pineda2006EvolutionOP,
  title={Evolution of pairwise entanglement in a coupled n-body system (6 pages)},
  author={Carlos Pineda and Thomas H. Seligman},
  journal={Physical Review A},
  year={2006},
  volume={73},
  pages={12305}
}
We study the exact evolution of two noninteracting qubits, initially in a Bell state, in the presence of an environment, modeled by a kicked Ising spin chain. Dynamics of this model range from integrable to chaotic and we can handle numerics for a large number of qubits. We find that the entanglement (as measured by concurrence) of the two qubits has a close relation to the purity of the pair, and closely follows an analytic relation derived for Werner states. As a collateral result we find… 

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References

SHOWING 1-10 OF 49 REFERENCES

Entanglement of Formation of an Arbitrary State of Two Qubits

The entanglement of a pure state of a pair of quantum systems is defined as the entropy of either member of the pair. The entanglement of formation of a mixed state is defined as the minimum average

Decoherence of spin echoes

We define a quantity, the so-called purity fidelity, which measures the rate of dynamical irreversibility due to decoherence, observed e.g. in echo experiments, in the presence of an arbitrary small

Dynamical aspects of quantum entanglement for weakly coupled kicked tops.

TLDR
It is shown that the increment in the strength of chaos does not enhance the production rate of entanglement when the coupling is weak enough and the subsystems (kicked tops) are strongly chaotic.

Multipartite entanglement in a one-dimensional time-dependent Ising model

We study multipartite entanglement measures for a one-dimensional Ising chain that is capable of showing both integrable and nonintegrable behavior. This model includes the kicked transverse Ising

Stability of quantum Fourier transformation on Ising quantum computer

We analyze the influence of errors on the implementation of the quantum Fourier transformation (QFT) on the Ising quantum computer (IQC). Two kinds of errors are studied: (i) due to spurious

Decoherence limits to quantum computation using trapped ions

  • M. PlenioP. Knight
  • Physics
    Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
  • 1997
We investigate the problem of factorization of large numbers on a quantum computer which we imagine to be realized within a linear ion trap. We derive upper bounds on the size of the numbers that can

Deterministic quantum teleportation with atoms

TLDR
Deterministic quantum-state teleportation between a pair of trapped calcium ions is reported, demonstrating unequivocally the quantum nature of the process.

Scaling of decoherence effects in quantum computers

Abstract The scaling of decoherence rates with qubit number N is studied for a simple model of a quantum computer in the situation where N is large. The two state qubits are localized around

QUANTUM DYNAMICAL MANIFESTATION OF CHAOTIC BEHAVIOR IN THE PROCESS OF ENTANGLEMENT

Manifestation of chaotic behavior is found in an intrinsically quantum property. The entanglement process, quantitatively expressed in terms of the reduced density linear entropy, is studied for the