Entangling power of two-qubit unitary operations

Yi Shen; Lin Chen

doi:10.1088/1751-8121/aad7cb

Entangling power of two-qubit unitary operations

Yi Shen
, Lin Chen^*

^*Corresponding author for this work

School of Mathematical Sciences

Beihang University

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

The entangling power of a bipartite unitary operation shows the maximum created entanglement with the product input states. For an arbitrary two-qubit unitary operation, it is sufficient to consider its normalized operation U with parameters c ₀ c ₁ c ₂and c ₃. We show how to compute the entangling power of U when c ₂ = c ₃. In particular we construct the analytical expressions of entangling power of such U for two examples. We also formulate the entangling power of bipartite unitary operations of Schmidt rank two for any dimensions.

Original language	English
Article number	395303
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	51
Issue number	39
DOIs	https://doi.org/10.1088/1751-8121/aad7cb
State	Published - 28 Aug 2018

Keywords

entangling power
two-qubit unitary operation
unitary operation of Schmidt rank two

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abstract = "The entangling power of a bipartite unitary operation shows the maximum created entanglement with the product input states. For an arbitrary two-qubit unitary operation, it is sufficient to consider its normalized operation U with parameters c 0 c 1 c 2and c 3. We show how to compute the entangling power of U when c 2 = c 3. In particular we construct the analytical expressions of entangling power of such U for two examples. We also formulate the entangling power of bipartite unitary operations of Schmidt rank two for any dimensions.",

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AB - The entangling power of a bipartite unitary operation shows the maximum created entanglement with the product input states. For an arbitrary two-qubit unitary operation, it is sufficient to consider its normalized operation U with parameters c 0 c 1 c 2and c 3. We show how to compute the entangling power of U when c 2 = c 3. In particular we construct the analytical expressions of entangling power of such U for two examples. We also formulate the entangling power of bipartite unitary operations of Schmidt rank two for any dimensions.

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KW - two-qubit unitary operation

KW - unitary operation of Schmidt rank two

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Entangling power of two-qubit unitary operations

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Keywords

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