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Quantum teleportation analysed by mathematical separation tool

Date:
September 28, 2011
Source:
Springer Science+Business Media
Summary:
Scientists recently gave a theoretical description of teleportation phenomena in sub-atomic scale physical systems.

Scientists have now shown that mathematical tools give us the freedom to choose how to separate out the constituting matter of a complex physical system by selectively analysing its so-called quantum state.

Scientists from the University of Vienna's Faculty of Physics in Austria recently gave a theoretical description of teleportation phenomena in sub-atomic scale physical systems, in a publication in the European Physical Journal D.

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For the first time, the Austrian team has demonstrated that mathematical tools give us the freedom to choose how to separate out the constituting matter of a complex physical system by selectively analysing its so-called quantum state. That is the state in which the system is found when performing measurement, which can either be entangled or not.

The state of entanglement corresponds to a complex physical system in a definite (pure) state, while its parts taken individually are not. This concept of entanglement used in quantum information theory applies when measurement in laboratory A (called Alice) depends on the definite measurement in laboratory B (called Bob), as both measurements are correlated. This phenomenon cannot be observed in larger-scale physical systems.

The findings of the Austrian team show that the entanglement or separability of a quantum state -whether its sub-states are separable or not; i.e., whether Alice and Bob were able to find independent measurements -- depends on the perspective used to assess its status.

A so-called density matrix is used to mathematically describe a quantum state. To assess this state's status, the matrix can be factorised in different ways, similar to the many ways a cake can be cut. The Vienna physicists have shown that by choosing a particular factorisation, it may lead to entanglement or separability; this can, however, only be done theoretically, as experimentally the factorisation is fixed by experimental conditions.


Story Source:

The above story is based on materials provided by Springer Science+Business Media. Note: Materials may be edited for content and length.


Journal Reference:

  1. W. Thirring, R. A. Bertlmann, P. Kφhler, H. Narnhofer. Entanglement or separability: the choice of how to factorize the algebra of a density matrix. The European Physical Journal D, 2011; DOI: 10.1140/epjd/e2011-20452-1

Cite This Page:

Springer Science+Business Media. "Quantum teleportation analysed by mathematical separation tool." ScienceDaily. ScienceDaily, 28 September 2011. <www.sciencedaily.com/releases/2011/09/110927112039.htm>.
Springer Science+Business Media. (2011, September 28). Quantum teleportation analysed by mathematical separation tool. ScienceDaily. Retrieved December 19, 2014 from www.sciencedaily.com/releases/2011/09/110927112039.htm
Springer Science+Business Media. "Quantum teleportation analysed by mathematical separation tool." ScienceDaily. www.sciencedaily.com/releases/2011/09/110927112039.htm (accessed December 19, 2014).

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