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Acta Physica Sinica

REALIZATION OF A SPIN-TYPE GHz STATE VIA THE ATOMIC INTERFERENCE METHOD

K.-H. Song

Published Jan 1, 2000• 1 citation
OpenAlex

Abstract

Realization of a spin|type Greenberger|Horne|Zeilinger state through the atomic interference method is presented. The feasibility of the experiment in our scheme is discussed, and a simple proof for theories violating local hidden|variable is given.

Related papers

REALIZATION OF A SPIN-TYPE GHZ STATE VIA THE JAYNES-CUMMINGS MODEL WITH LARGE DETUNING

Kehui Song, Guo Guang-Can, (1)湖南省怀化师范高等专科学校物理系，怀化 418008；中国科学技术大学物理系和非线性科学中心，合肥 230026; (2)中国科学技术大学物理系和非线性科学中心，合肥 230026

Realization of a spin-type Greenberger-Horne-Zeilinger state via the Jaynes-Cummings model with large detuning is presented.The contradiction to local hidden variable theory is made through measuring the parity of the cavity fields. This scheme does not violate Bell's inequality.

Acta Physica Sinica•Jan 1, 1999•2 citations

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.

arXiv:quant-ph/9905028•Physical Review A•Jan 10, 2000•60 citations

Direct conversion of a three-atom W state to a Greenberger–Horne–Zeilinger state in spatially separated cavities

Guoyuan Wang, Dongyang Wang, Wen‐Xue Cui +3 more

Abstract State conversion between the Greenberger–Horne–Zeilinger (GHZ) state and the W state is a challenging open problem because these states cannot be converted to each other by just local operations and classical communication. Here we propose a cavity quantum electrodynamics method based on interference of polarized photons emitted by the atoms trapped in spatially separated optical cavities that can convert a three-atom W state to a GHZ state. We calculate the success probability and fidelity of the converted GHZ state when the cavity decay, spontaneous atomic decay and photon leakage of the cavities are taken into account for a practical system, which shows that the proposed scheme is feasible and within the reach of current experimental technology.

arXiv:1601.03250•Journal of Physics B Atomic Molecular and Optical Physics•Feb 22, 2016•11 citations

Proposal for a mesoscopic cavity QED realization of the Greenberger-Horne-Zeilinger state

Christopher C. Gerry

A proposal is made for obtaining a mesoscopic realization of the Greenberger-Horne-Zeilinger (GHZ) "all or nothing" contradiction between quantum mechanics and local realism in the context of cavity QED. The proposed experiment involves three separated micromaser cavities, each initially prepared in a coherent state, which are then entangled by dispersive atom-field interactions followed by selective ionization of a single atom that has passed through all three cavities. The cavities are then probed individually by single atoms manipulated to obtain a measurement of the parity of the cavity fields. Using an isomorphism between coherent-state cavity fields and a spin-\textonehalf{} system, we show how this experiment gives rise to violations of local realism in the manner of GHZ.

Physical Review A•Oct 1, 1996•86 citations

Solving the Greenberger-Horne-Zeilinger paradox: an explicit model of local hidden variables for the GHZ quantum state

David H. Oaknin

The Greenberger-Horne-Zeilinger (GHZ) version of the Einstein-Podolsky-Rosen (EPR) paradox is widely regarded as a conclusive logical argument that rules out the possibility of describing quantum phenomena within the framework of any model of local hidden variables in which the observers are free to choose their own experimental settings. In this paper, we show, however, that the GHZ argument implicitly relies on a subtle, though crucial, assumption that is not required by fundamental physical principles, and which had gone unnoticed. Namely, we note that the argument implicitly assumes the existence of an absolute angular frame of reference with respect to which the polarization properties of the hypothetical hidden configurations of the entangled particles, as well as the orientations of the measurement devices that test them, can be defined. We further note that such an absolute frame of reference may not exist if the hidden configurations of the entangled particles spontaneously break the gauge rotational symmetry. Indeed, by skipping the disputed requirement we are able to build a model of local hidden variables for the GHZ state, which complies with the 'free-will' hypothesis and reproduces the quantum mechanical predictions. Our model, thus, completes-in the EPR sense-the quantum description of the GHZ state.

•Apr 22, 2022•0 citations

Realization of GHZ State of Coherent Cavity Fields

Changyong Chen

A scheme is persented for the realization of a Greenberger-Horne-Zeilinger state through the Raman interaction of one V-type three-Level atom and coherent-state-cavity-field in large detuning condition.

Acta Sinica Quantum Optica•Jan 1, 2004•0 citations
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.
Abstract State conversion between the Greenberger–Horne–Zeilinger (GHZ) state and the W state is a challenging open problem because these states cannot be converted to each other by just local operations and classical communication. Here we propose a cavity quantum electrodynamics method based on interference of polarized photons emitted by the atoms trapped in spatially separated optical cavities that can convert a three-atom W state to a GHZ state. We calculate the success probability and fidelity of the converted GHZ state when the cavity decay, spontaneous atomic decay and photon leakage of the cavities are taken into account for a practical system, which shows that the proposed scheme is feasible and within the reach of current experimental technology.
A proposal is made for obtaining a mesoscopic realization of the Greenberger-Horne-Zeilinger (GHZ) "all or nothing" contradiction between quantum mechanics and local realism in the context of cavity QED. The proposed experiment involves three separated micromaser cavities, each initially prepared in a coherent state, which are then entangled by dispersive atom-field interactions followed by selective ionization of a single atom that has passed through all three cavities. The cavities are then probed individually by single atoms manipulated to obtain a measurement of the parity of the cavity fields. Using an isomorphism between coherent-state cavity fields and a spin-\textonehalf{} system, we show how this experiment gives rise to violations of local realism in the manner of GHZ.
The Greenberger-Horne-Zeilinger (GHZ) version of the Einstein-Podolsky-Rosen (EPR) paradox is widely regarded as a conclusive logical argument that rules out the possibility of describing quantum phenomena within the framework of any model of local hidden variables in which the observers are free to choose their own experimental settings. In this paper, we show, however, that the GHZ argument implicitly relies on a subtle, though crucial, assumption that is not required by fundamental physical principles, and which had gone unnoticed. Namely, we note that the argument implicitly assumes the existence of an absolute angular frame of reference with respect to which the polarization properties of the hypothetical hidden configurations of the entangled particles, as well as the orientations of the measurement devices that test them, can be defined. We further note that such an absolute frame of reference may not exist if the hidden configurations of the entangled particles spontaneously break the gauge rotational symmetry. Indeed, by skipping the disputed requirement we are able to build a model of local hidden variables for the GHZ state, which complies with the 'free-will' hypothesis and reproduces the quantum mechanical predictions. Our model, thus, completes-in the EPR sense-the quantum description of the GHZ state.