The Quantum Steering Ellipsoid

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A quantum steering ellipsoid may be used to faithfully represent
a density matrix ? describing two qubits A and B. The ellipsoid is the
geometric set of states that Bob can steer Alice's qubit to when he implements
all possible measurements on his qubit. We show how the correlations between
qubits A and B manifest themselves in this paradigm, giving simple conditions
for when the state is entangled, or has discord. We will also present novel features
of the two qubit state that are revealed by the steering ellipsoid formalism,
and show that a state corresponding to an ellipsoid with non-zero volume
contains a new type of correlation.