An observable measure of entanglement for pure states of multi-qubit systems
Quantum Information & Computation
Towards measurable bounds on entanglement measures
Quantum Information Processing
Computable constraints on entanglement-sharing of multipartite quantum states
Quantum Information & Computation
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In this paper I show that any mth-degree polynomial function of the elements of the density matrix ρ can be determined by finding the expectation value of an observable on m copies of ρ, without performing state tomography. Since a circuit exists which can approximate the measurement of any observable, in principle one can find a circuit which will estimate any such polynomial function by averaging over many runs. I construct some simple examples and compare these results to existing procedures.