Experimental Classification of Entanglement in Arbitrary Three-Qubit States on an NMR Quantum Information Processor

Abstract

We undertake experimental detection of the entanglement present in arbitrary three-qubit pure quantum states on an NMR quantum information processor. Measurements of only four observables suffice to experimentally differentiate between the six classes of states which are inequivalent under stochastic local operation and classical communication (SLOCC). The experimental realization is achieved by mapping the desired observables onto Pauli $z$-operators of a single qubit, which is directly amenable to measurement. The detection scheme is applied to known entangled states as well as to states randomly generated using a generic scheme that can construct all possible three-qubit states. The results are substantiated via direct full quantum state tomography as well as via negativity calculations and the comparison suggests that the protocol is indeed successful in detecting tripartite entanglement without requiring any {\it a priori} information about the states.

arXiv comment9 pages revtex 3 figures

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• Experimentally identifying the entanglement class of pure tripartite states
• Experimental demonstration of fully contextual quantum correlations on an NMR quantum information processor
• Classification and measurement of multipartite entanglement by reconstruction of correlation tensors on an NMR quantum processor
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• Probabilistic Teleportation of a Single Qubit: Unearthing New W-Class of States
• Experimental Detection of Qubit-Ququart Pseudo-Bound Entanglement using Three Nuclear Spins
• Experimental Detection of Non-local Correlations using a Local Measurement-Based Hierarchy on an NMR Quantum Processor
• Experimental realization of quantum non-Markovianity through the convex mixing of Pauli semigroups on an NMR quantum processor
• Recycled detection of genuine multiparty entanglement of unlimitedly stretched array of parties and arbitrarily long series of sequential observers
• Classification witness operator for the classification of different subclasses of three-qubit GHZ class
• State-independent robust heat-bath algorithmic cooling of nuclear spins