Local invariants of braiding quantum gates -- associated link polynomials and entangling power
Pramod Padmanabhan,
Fumihiko Sugino,
Diego Trancanelli
Abstract:For a generic n-qubit system, local invariants under the action of SL(2, C) ⊗n characterize non-local properties of entanglement. In general, such properties are not immediately apparent and hard to construct. Here we consider two-qubit Yang-Baxter operators and show that their eigenvalues completely determine the non-local properties of the system. Moreover, we apply the Turaev procedure to these operators and obtain their associated link/knot polynomials. We also compute their entangling power and compare it… Show more
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