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Entanglement Between Photons that have Never Coexisted (1209.4191v1)

Published 19 Sep 2012 in quant-ph

Abstract: The role of the timing and order of quantum measurements is not just a fundamental question of quantum mechanics, but also a puzzling one. Any part of a quantum system that has finished evolving, can be measured immediately or saved for later, without affecting the final results, regardless of the continued evolution of the rest of the system. In addition, the non-locality of quantum mechanics, as manifested by entanglement, does not apply only to particles with spatial separation, but also with temporal separation. Here we demonstrate these principles by generating and fully characterizing an entangled pair of photons that never coexisted. Using entanglement swapping between two temporally separated photon pairs we entangle one photon from the first pair with another photon from the second pair. The first photon was detected even before the other was created. The observed quantum correlations manifest the non-locality of quantum mechanics in spacetime.

Citations (105)

Summary

  • The paper demonstrates entanglement between two photons that never existed simultaneously, leveraging delayed entanglement swapping to establish nonclassical correlations over time.
  • Using parametric down-conversion and quantum state tomography, the experiment achieved temporally separated entangled states with ~77% fidelity, validating non-local correlations in time.
  • The findings have significant implications for future quantum networks, particularly in designing quantum repeaters, and open new avenues for exploring causality and temporal dynamics in quantum theory.

Entanglement Between Photons that have Never Coexisted

The paper "Entanglement Between Photons that have Never Coexisted" explores a non-trivial aspect of quantum mechanics: the entanglement of particles over temporal separations. Traditionally, entanglement has been understood in the context of spatial separation—a phenomenon that led to debates about the nonlocal nature of quantum mechanics as famously posited by the Einstein-Podolsky-Rosen paradox and later clarified through Bell's Theorem and corresponding experiments.

The authors extend this concept by demonstrating entanglement swapping between two pairs of photons that are temporally separated. By employing delayed entanglement swapping protocols, they successfully entangle one photon from a first pair with another photon from a subsequent pair. This creates a scenario where the first photon is measured even before the second photon is created, highlighting the nonlocal nature of quantum correlation in the domain of time.

Experimental Setup and Methodology

To achieve this temporal entanglement, the authors use a parametric down-conversion (PDC) process to generate pairs of entangled photons. The process adheres to principles of conservation of momentum and energy, allowing for bright, high-quality Bell states. A critical component of their setup involves a delay line that separates the detection times of the photons, allowing measurement of one photon before another is even created.

  • Entanglement Swapping: The central technique used involves entanglement swapping, which enables the entanglement of two photons that have no shared history. Photons from each pair are projected onto a Bell state such that the first and last photons become entangled even though they are not in existence simultaneously.
  • Quantum State Tomography: To verify the entanglement of the temporally separated photons, the researchers employ a quantum state tomography procedure, examining the density matrix and thereby conclusively demonstrating nonclassical correlations.

The fidelity of the experimentally acquired entangled states reached approximately 77%, with errors attributed mainly to higher-order PDC events and spectral distinguishability. This demonstrates a clear non-local correlation in time, regardless of the significant temporal gap in existence between the photons.

Implications and Future Directions

The findings bear significant implications for quantum communication and quantum information science. The successful demonstration of entangling photons over temporal distances without a coinciding coexistence period points toward new possibilities in the design of quantum repeaters—fundamental for long-distance quantum communication. In such a framework, entanglement swapping can be performed at subsequent intervals, providing a potential blueprint for future large-scale quantum networks.

Moreover, this concept of nonlocality traversing not just space but time could stimulate further theoretical evaluation within quantum mechanics, potentially influencing concepts in quantum theory related to causality and temporal dynamics.

Though experimental limitations persist, particularly in terms of probabilistic source generation and fidelity, this area of research is ripe for further exploration with technological advancements in sources, detectors, and possibly quantum memory. Consequently, the implications extend to enhancing both practical quantum technologies and probing the foundational aspects of quantum theory itself.

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