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Quantum entanglement and the Bell matrix

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Abstract

We present a class of maximally entangled states generated by a high-dimensional generalisation of the cnot gate. The advantage of our constructive approach is the simple algebraic structure of both entangling operator and resulting entangled states. In order to show that the method can be applied to any dimension, we introduce new sufficient conditions for global and maximal entanglement with respect to Meyer and Wallach’s measure.

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Notes

  1. More generally, the Schmidt decomposition is well defined for pure states belonging to general Hilbert spaces X.

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Authors and Affiliations

  1. Dipartimento di Matematica e Fisica, Università Roma Tre, Via della Vasca Navale 84, 00146, Rome, Italy

    Anna Chiara Lai, Marco Pedicini & Silvia Rognone

Authors
  1. Anna Chiara Lai
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  2. Marco Pedicini
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  3. Silvia Rognone
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Corresponding author

Correspondence to Marco Pedicini.

Additional information

Partially supported by PRIN2011 Project “Metodi Logici per il trattamento dell’informazione”.

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Lai, A.C., Pedicini, M. & Rognone, S. Quantum entanglement and the Bell matrix. Quantum Inf Process 15, 2923–2936 (2016). https://doi.org/10.1007/s11128-016-1302-3

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