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Generalized form of optimal teleportation witnesses

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Abstract

We propose a generalized form of optimal teleportation witness to demonstrate their importance in experimental detection of the larger set of entangled states useful for teleportation in higher dimensional systems. The interesting properties of our witness reveal that teleportation witness can be used to characterize mixed state entanglement using Schmidt numbers. Our results show that while every teleportation witness is also a entanglement witness, the converse is not true. Also, we show that a hermitian operator is a teleportation witness iff it is a decomposable entanglement witness. In addition, we analyze the practical significance of our study by decomposing our teleportation witness in terms of Pauli and Gell-Mann matrices, which are experimentally measurable quantities.

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Authors and Affiliations

  1. Centre of Excellence in Systems Science, Indian Institute of Technology, Jodhpur, 342011, Rajasthan, India

    Atul Kumar & Satyabrata Adhikari

  2. Institute of Physics, Sainik School Post, Bhubaneshwar, 751005, Orissa, India

    Pankaj Agrawal

Authors
  1. Atul Kumar
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  2. Satyabrata Adhikari
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  3. Pankaj Agrawal
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Correspondence to Atul Kumar.

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Kumar, A., Adhikari, S. & Agrawal, P. Generalized form of optimal teleportation witnesses. Quantum Inf Process 12, 2475–2485 (2013). https://doi.org/10.1007/s11128-013-0539-3

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  • DOI: https://doi.org/10.1007/s11128-013-0539-3

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