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Experimental demonstration of Greenberger-Horne-Zeilinger correlations using nuclear magnetic resonance

Richard J. Nelson, David G. Cory, Seth Lloyd

The Greenberger-Horne-Zeilinger (GHZ) effect provides an example of quantum correlations that cannot be explained by classical local hidden variables. This paper reports on the experimental realization of GHZ correlations using nuclear magnetic resonance (NMR). The NMR experiment differs from the originally proposed GHZ experiment in several ways: it is performed on mixed states rather than pure states, and instead of being widely separated, the spins on which it is performed are all located in the same molecule. As a result, the NMR version of the GHZ experiment cannot entirely rule out classical local hidden variables. It nonetheless provides an unambiguous demonstration of the ``paradoxical'' GHZ correlations, and confirms the predictions of quantum mechanics.The Greenberger-Horne-Zeilinger (GHZ) effect provides an example of quantum correlations that cannot be explained by classical local hidden variables. This paper reports on the experimental realization of GHZ correlations using nuclear magnetic resonance (NMR). The NMR experiment differs from the originally proposed GHZ experiment in several ways: it is performed on mixed states rather than pure states, and instead of being widely separated, the spins on which it is performed are all located in the same molecule. As a result, the NMR version of the GHZ experiment cannot entirely rule out classical local hidden variables. It nonetheless provides an unambiguous demonstration of the ``paradoxical'' GHZ correlations, and confirms the predictions of quantum mechanics.

arXiv:quant-ph/9905028Physical Review AJan 10, 200060 citations

NMR Theory

Jonathan R. J. Yong

Springer thesesJan 1, 20240 citations

Decoherence of a Greenberger–Horne–Zeilinger state in a five‐qubit NMR quantum computer

Minaru Kawamura, Takuji Morimoto, Yoshiyuki Mori +3 more

Abstract This work provides a simple approximate method of creating a Greenberger–Horne–Zeilinger (GHZ) state with high fidelity, using nuclear magnetic resonance (NMR) techniques, and reports on the decoherence process for these GHZ states, which is observed with a pair of encoder and decoder quantum circuits. The prepared GHZ states are verified by measuring the quantum correlations, which are well known as GHZ correlations. The results of the decoherence experiments, show that the GHZ states decay faster than bipartite entangled states such as Bell states by a factor of 1.3, and it appears that two different decoherence processes exist. © 2006 Wiley Periodicals, Inc. Int J Quantum Chem, 2006Abstract This work provides a simple approximate method of creating a Greenberger–Horne–Zeilinger (GHZ) state with high fidelity, using nuclear magnetic resonance (NMR) techniques, and reports on the decoherence process for these GHZ states, which is observed with a pair of encoder and decoder quantum circuits. The prepared GHZ states are verified by measuring the quantum correlations, which are well known as GHZ correlations. The results of the decoherence experiments, show that the GHZ states decay faster than bipartite entangled states such as Bell states by a factor of 1.3, and it appears that two different decoherence processes exist. © 2006 Wiley Periodicals, Inc. Int J Quantum Chem, 2006

International Journal of Quantum ChemistryJan 1, 20066 citations

Nuclear Magnetic Resonance

David S. Simon

Undergraduate texts in physicsJan 1, 20251 citation

NMR Greenberger–Horne–Zeilinger states

Raymond Laflamme, E. Knill, Wojciech Hubert Zurek +2 more

We describe the creation of a Greenberger–Horne–Zeilinger (GHZ) state of the form (|00} + |111})/✓2 (three maximally entangled quantum bits) using Nuclear Magnetic Resonance (NMR). We have successfully carried out the experiment using the proton and carbon spins of trichloroethylene, and confirmed the result using state tomography. We have thus extended the space of entangled quantum states explored systematically to three quantum bits, an essential step for quantum computation.

arXiv:quant-ph/9709025Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering SciencesAug 15, 1998139 citations

Magnetic Resonance

Antoine Weis

Compendium of Quantum PhysicsJan 1, 20090 citations

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