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Generating Two-Qubit Werner States Using Superpositions of Dimer and Random States in Hilbert Space

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Abstract

Werner states are unitarily invariant states in the d dimensional Hilbert space. These states are entangled (EPR correlated) but still admits a hidden variable model. In this paper, we superpose a 2N qubit Bell state which are pairwise entangled with a 2N qubit completely random real pure state. For large N limits, the two-qubit reduced density matrix (both qubits are in the same Bell state of the superposed state) very closely resembles a Werner state. The random state is sampled from the surface of a 22N dimensional hypersphere of unit radius or equivalently sampled from a normal distribution of zero mean and unit variance. The quantitative analysis of entanglement measures such as concurrence and block entropy also reinforce our claim.

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Acknowledgements

We would like to thank CDAC (Centre for Development of Advanced Computing), Pune for providing supercomputing and parallel programming facilities under the project CondensedMatter-PR.

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  1. Department of Physics, Visvesvaraya National Institute of Technology, Nagpur, 440010, India

    Pranay Barkataki & M. S. Ramkarthik

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  1. Pranay Barkataki
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  2. M. S. Ramkarthik
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Correspondence to M. S. Ramkarthik.

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Barkataki, P., Ramkarthik, M.S. Generating Two-Qubit Werner States Using Superpositions of Dimer and Random States in Hilbert Space. Int J Theor Phys 59, 550–561 (2020). https://doi.org/10.1007/s10773-019-04348-5

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  • DOI: https://doi.org/10.1007/s10773-019-04348-5

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