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Entanglement Concentration Protocols for GHZ-type Entangled Coherent State Based on Linear Optics

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Abstract

We proposed two entanglement concentration protocols (ECPs) to obtain maximally entangled Greenberger-Horne-Zeilinger (GHZ)-type entangled coherent state (ECS) from the corresponding partially entangled GHZ-type ECSs. We obtained the first ECP using a partially entangled GHZ-type ECS assisted with a superposition of single-mode coherent state, however the second ECP is designed using two copies of partially entangled GHZ-type ECSs. The success probabilities have also been calculated and discussed for both the ECPs. We have further compared the success probabilities of our first ECP for 3-mode GHZ-type ECS with an ECP of 3-mode W-type ECS and found that our ECP is more efficient (maximal success probabilities) for larger value (β = 0.7) of state parameter. For the physical realization, two optical circuits (for two ECPs) using linear optical elements, viz 50:50 beam splitter, phase shifter, and photon detectors are provided, which support the future experimental implementation possible with the present technology.

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Acknowledgments

MS thanks to the Department of Science and Technology (DST), India, for support provided through the DST project No. S/DST/VNA/20190004. Authors also thank Kishore Thapliyal for his interest in the work and helpful suggestions.

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The work has been supported by self funds.

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Authors and Affiliations

  1. Indian Institute of Technology Jodhpur, Jodhpur, 342037, India

    Mitali Sisodia

  2. Center for Quantum Computing, Peng Cheng Laboratory, Shenzhen, 518055, People’s Republic of China

    Chitra Shukla

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  1. Mitali Sisodia
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  2. Chitra Shukla
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MS performed the calculations, CS analyzed, guided, wrote and reviewed the manuscript.

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Correspondence to Chitra Shukla.

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Sisodia, M., Shukla, C. Entanglement Concentration Protocols for GHZ-type Entangled Coherent State Based on Linear Optics. Int J Theor Phys 60, 1624–1634 (2021). https://doi.org/10.1007/s10773-021-04785-1

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