Entanglement with restricted measurement setups

Details Entanglement with restricted measurement setups Entanglement with restricted measurement setups

2010-11-19

arxiv.org/abs/1011.4452v1

Physics

Quantum Physics

Scientific paper

We consider what is the effective amount of entanglement when the measurement operators one has at their disposal are restricted. Such a scenario occurs when superselection rules are in effect or when there are imperfections in our measurement setup. Given a quantum state and the restrictions on measurements, we consider the following scenario. Imagine we have an ideal, or non-restricted, measurement setup and a state $\rho_1$ and a non-ideal, or restricted, measurement setup and a state $\rho_2$. Then the minimum amount of entanglement in $\rho_1$ so that all quantum communication protocols still perform with the same fidelity as with $\rho_2$ is effectively the entanglement with restricted measurement setup. For indistinguishable particles, we find that any quantum communication protocol that can be performed with indistinguishable particles, can thus be performed with a ``normal'' state of no more than $E_P$ of entanglement. For the imperfect measurement apparatus we find an upper bound for the effective entanglement, which is a linear function of the usual entanglement, with the proportionality factor dependent only on the imperfections in the measurement device.

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