Local invariants of braiding quantum gates—associated link polynomials and entangling power
-
Published:2021-03-15
Issue:13
Volume:54
Page:135301
-
ISSN:1751-8113
-
Container-title:Journal of Physics A: Mathematical and Theoretical
-
language:
-
Short-container-title:J. Phys. A: Math. Theor.
Author:
Padmanabhan PramodORCID,
Sugino FumihikoORCID,
Trancanelli DiegoORCID
Abstract
Abstract
For a generic n-qubit system, local invariants under the action of
S
L
(
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.
Funder
Institute for Basic Science
INFN Grant
Subject
General Physics and Astronomy,Mathematical Physics,Modeling and Simulation,Statistics and Probability,Statistical and Nonlinear Physics
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献