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Title: Universal Greenberger-Horne-Zeilinger-state analyzer based on two-photon polarization parity detection

Abstract

We present a universal analyzer for the three-particle Greenberger-Horne-Zeilinger (GHZ) states with quantum nondemolition parity detectors and linear-optics elements. In our scheme, all of the three-photon GHZ states can be discriminated with nearly unity probability in the regime of weak nonlinearity feasible at the present state of the art experimentally. We also show that our scheme can be easily extended to the analysis of the multi-particle GHZ states.

Authors:
 [1];  [2];  [1];  [3];  [4];  [2]
  1. State Key Laboratory of High Field Laser Physics, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800 (China)
  2. (China)
  3. (Singapore)
  4. CCAST (World Laboratory), P. O. Box 8730, Beijing 100080 (China)
Publication Date:
OSTI Identifier:
20786460
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. A; Journal Volume: 72; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevA.72.052308; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; ENERGY LEVELS; NONLINEAR PROBLEMS; OPTICS; PARITY; PHOTONS; POLARIZATION; PROBABILITY; QUANTUM ENTANGLEMENT; QUANTUM MECHANICS

Citation Formats

Qian Jun, Graduate School of the Chinese Academy of Sciences, Beijing 100039, Feng Xunli, Department of Physics, Blk S12, National University of Singapore 2, Science Drive 3, Singapore 117542, Gong Shangqing, and State Key Laboratory of High Field Laser Physics, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800. Universal Greenberger-Horne-Zeilinger-state analyzer based on two-photon polarization parity detection. United States: N. p., 2005. Web. doi:10.1103/PHYSREVA.72.0.
Qian Jun, Graduate School of the Chinese Academy of Sciences, Beijing 100039, Feng Xunli, Department of Physics, Blk S12, National University of Singapore 2, Science Drive 3, Singapore 117542, Gong Shangqing, & State Key Laboratory of High Field Laser Physics, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800. Universal Greenberger-Horne-Zeilinger-state analyzer based on two-photon polarization parity detection. United States. doi:10.1103/PHYSREVA.72.0.
Qian Jun, Graduate School of the Chinese Academy of Sciences, Beijing 100039, Feng Xunli, Department of Physics, Blk S12, National University of Singapore 2, Science Drive 3, Singapore 117542, Gong Shangqing, and State Key Laboratory of High Field Laser Physics, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800. Tue . "Universal Greenberger-Horne-Zeilinger-state analyzer based on two-photon polarization parity detection". United States. doi:10.1103/PHYSREVA.72.0.
@article{osti_20786460,
title = {Universal Greenberger-Horne-Zeilinger-state analyzer based on two-photon polarization parity detection},
author = {Qian Jun and Graduate School of the Chinese Academy of Sciences, Beijing 100039 and Feng Xunli and Department of Physics, Blk S12, National University of Singapore 2, Science Drive 3, Singapore 117542 and Gong Shangqing and State Key Laboratory of High Field Laser Physics, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800},
abstractNote = {We present a universal analyzer for the three-particle Greenberger-Horne-Zeilinger (GHZ) states with quantum nondemolition parity detectors and linear-optics elements. In our scheme, all of the three-photon GHZ states can be discriminated with nearly unity probability in the regime of weak nonlinearity feasible at the present state of the art experimentally. We also show that our scheme can be easily extended to the analysis of the multi-particle GHZ states.},
doi = {10.1103/PHYSREVA.72.0},
journal = {Physical Review. A},
number = 5,
volume = 72,
place = {United States},
year = {Tue Nov 15 00:00:00 EST 2005},
month = {Tue Nov 15 00:00:00 EST 2005}
}
  • We study Greenberger-Horne-Zeilinger-type (GHZ-type) and W-type three-mode entangled coherent states. Both types of entangled coherent states violate Mermin's version of the Bell inequality with threshold photon detection (i.e., without photon counting). Such an experiment can be performed using linear optics elements and threshold detectors with significant Bell violations for GHZ-type entangled coherent states. However, to demonstrate Bell-type inequality violations for W-type entangled coherent states, additional nonlinear interactions are needed. We also propose an optical scheme to generate W-type entangled coherent states in free-traveling optical fields. The required resources for the generation are a single-photon source, a coherent state source, beammore » splitters, phase shifters, photodetectors, and Kerr nonlinearities. Our scheme does not necessarily require strong Kerr nonlinear interactions; i.e., weak nonlinearities can be used for the generation of the W-type entangled coherent states. Furthermore, it is also robust against inefficiencies of the single-photon source and the photon detectors.« less
  • We compare remote quantum information concentration by a Greenberger-Horne-Zeilinger (GHZ) state with an unlockable bound entangled state. We find that in view of communication security the bound entangled state works better than the GHZ state.
  • We present a broad class of N-qubit Greenberger-Horne-Zeilinger (GHZ)-diagonal states such that nonpositivity under the partial transpose operation is necessary and sufficient for the presence of entanglement, including many naturally arising instances such as dephased GHZ states. Furthermore, our proof directly leads to an entanglement witness which saturates this bound. The witness is applied to thermal GHZ states to prove that the entanglement can be extremely robust to system imperfections.
  • We introduce a protocol for quantum secret sharing based on reusable entangled states. The entangled state between the sender and the receiver acts only as a carrier to which data bits are entangled by the sender and disentangled from it by the receivers, all by local actions of simple gates. We also show that the interception by Eve or the cheating of one of the receivers introduces a quantum bit error rate larger than 25% which can be detected by comparing a subsequence of the bits.
  • In a recent paper [S. Bagherinezhad and V. Karimipour, Phys. Rev. A 67, 044302 (2003)], a quantum secret sharing protocol based on reusable Greenberger-Horne-Zeilinger states was proposed. However, in this Comment, it is shown that this protocol is insecure if Eve employs a special strategy to attack.