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 with that of a generic two-qubit operator.

Local invariants of braiding quantum gates -- associated link polynomials and entangling power / Padmanabhan, P.; Sugino, F.; Trancanelli, D.. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL. - ISSN 1751-8121. - 54:13(2020), pp. 135301-135335. [10.1088/1751-8121/abdfe9]

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

D. Trancanelli
2020

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 with that of a generic two-qubit operator.
2020
54
13
135301
135335
Local invariants of braiding quantum gates -- associated link polynomials and entangling power / Padmanabhan, P.; Sugino, F.; Trancanelli, D.. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL. - ISSN 1751-8121. - 54:13(2020), pp. 135301-135335. [10.1088/1751-8121/abdfe9]
Padmanabhan, P.; Sugino, F.; Trancanelli, D.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/1211434
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