Threshold distances for transmission of EPR pairs through Pauli channels

2005/04/30 by Abolfazl Bayat, A. Bayat, Vahid Karimipour +3
Computer Science · Physics and Astronomy · #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum optics and atomic interactions #quant-ph

paper · pdf · doi:10.1016/j.physleta.2006.02.009

published as Phys. Lett. A 335 (2006) 81-86. · 10 pages, 2 figures, substantially revised, latex

arxiv created 2005/12/11 · openalex publication_date 2006/02/20 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Let an EPR source which generates maximally entangled pairs be located so that it has distances L₁ and L₂ to two users. After taking into account various effects like loss of photons, deficiencies in the source and detectors, an entangled pair traveling through the channel may loose its perfect correlation due to errors in the channel. How the entanglement of the received pair depends on the above distances and the local properties of the channels used for this transmission? What is the best location of the source if we want to achieve the highest fidelity? What is the threshold distance beyond which the entanglement of the pair vanishes and becomes useless for using in teleportation. We discuss these problems for the Pauli channel which simulates the effect of optical fibers and possibly the atmosphere on the polarization-entangled photons.

Citations

• Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
• Violation of Bell's inequality under strict Einstein locality conditions
• Entanglement of Formation of an Arbitrary State of Two Qubits
• Quantum Cryptography with Entangled Photons
• Ultrabright source of polarization-entangled photons