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

Abstract

We experimentally explore the state space of three qubits on an NMR quantum information processor. We construct a scheme to experimentally realize a canonical form for general three-qubit states up to single-qubit unitaries. This form involves a non-trivial combination of GHZ and W-type maximally entangled states of three qubits. The general circuit that we have constructed for 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 a nontrivial set of parameters and the good fidelity of preparation is confirmed by complete state tomography. The GHZ and W-states are constructed as special cases of the general experimental scheme. Further, we experimentally demonstrate a curious fact about three-qubit states, where for almost all pure states, the two-qubit reduced states can be used to reconstruct the full three-qubit state. For the case of a generic state and for the W-state, we demonstrate this method of reconstruction by comparing it with the directly tomographed three-qubit state.

Revised version to appear in PRA new results added

References in corpus (7)

• Quantum Computing
• Three-party pure quantum states are determined by two two-party reduced states
• Classification of GHZ-type, W-type and GHZ-W-type multiqubit entanglements
• Complete set of operational measures for the characterization of 3-qubit entanglement
• Quantitative complementarity between local and nonlocal character of quantum states in a three-qubit system
• Certifying nonlocality from separable marginals
• Tomographic Characterization of Three-Qubit Pure States with Only Two-Qubit Detectors

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• Experimental construction of a W-superposition state and its equivalence to the GHZ state under local filtration
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• Dicke-state preparation through global transverse control of Ising-coupled qubits
• Experimental Classification of Entanglement in Arbitrary Three-Qubit States on an NMR Quantum Information Processor
• Scalable generation and detection of on-demand W states in nanophotonic circuits
• Efficient experimental design of high-fidelity three-qubit quantum gates via genetic programming
• Interconversion of $W$ and Greenberger-Horne-Zeilinger states for Ising-coupled qubits with transverse global control
• Entanglement detection on an NMR quantum information processor using random local measurements
• Distinguishing different classes of entanglement of three-qubit pure states
• Remote preparation of $W$ states from imperfect bipartite sources
• Controlling NMR spin systems for quantum computation
• Experimentally identifying the entanglement class of pure tripartite states
• Experimental Detection of Qubit-Ququart Pseudo-Bound Entanglement using Three Nuclear Spins
• Classification and measurement of multipartite entanglement by reconstruction of correlation tensors on an NMR quantum processor
• Probabilistic Teleportation of a Single Qubit: Unearthing New W-Class of States
• Efficient experimental characterization of quantum processes via compressed sensing on an NMR quantum processor
• Experimental construction of a symmetric three-qubit entangled state and its utility in testing the violation of a Bell inequality on an NMR quantum simulator
• Usefulness of Multiqubit W-type States in Quantum Information Processing Task
• Three-qubit W state tomography via full and marginal state reconstructions on ibm_osaka
• Entanglement dynamics in minimal Kitaev chains
• Condition for the generation of the secret key in a BB84 like quantum key distribution protocol