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We experimentally explore the state space of three qubits on an NMR quantuminformation processor. We construct a scheme to experimentally realize acanonical form for general three-qubit states up to single-qubit unitaries.This form involves a non-trivial combination of GHZ and W-type maximallyentangled states of three qubits. The general circuit that we have constructedfor the generic state reduces to those for GHZ and W states as special cases.The experimental construction of a generic state is carried out for anontrivial set of parameters and the good fidelity of preparation is confirmedby complete state tomography. The GHZ and W-states are constructed as specialcases of the general experimental scheme. Further, we experimentallydemonstrate a curious fact about three-qubit states, where for almost all purestates, the two-qubit reduced states can be used to reconstruct the fullthree-qubit state. For the case of a generic state and for the W-state, wedemonstrate this method of reconstruction by comparing it with the directlytomographed three-qubit state.

physical review. a, atomic, molecular, and optical physics/physical review, a, atomic, molecular, and optical physics

Experimental construction of generic three-qubit states and their  reconstruction from two-party reduced states on an NMR quantum information  processor