Local invariants of braiding quantum gates -- associated link polynomials and entangling power

• URL: http://arxiv.org/abs/2010.00270v2
• Date: Mon, 15 Mar 2021 09:39:57 GMT
• Title: Local invariants of braiding quantum gates -- associated link polynomials and entangling power
• Authors: Pramod Padmanabhan, Fumihiko Sugino, Diego Trancanelli
• Abstract summary: We consider certain two-qubit Yang-Baxter operators, which we dub of the X-type', and show that their eigenvalues completely determine the non-local properties of the system. We also compute their entangling power and compare it with that of a generic two-qubit operator.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: For a generic $n$-qubit system, local invariants under the action of $SL(2,\mathbb{C})^{\otimes n}$ characterize non-local properties of entanglement. In general, such properties are not immediately apparent and hard to construct. Here we consider certain two-qubit Yang-Baxter operators, which we dub of the `X-type', 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 with that of a generic two-qubit operator.

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