Abstract
We examine two quantum operations, the permutation test and the circle test, which test the identity of n quantum states. These operations naturally extend the well-studied swap test on two quantum states. We first show the optimality of the permutation test for any input size n as well as the optimality of the circle test for three input states. In particular, when n = 3, we present a semi-classical protocol, incorporated with the swap test, which approximates the circle test efficiently. Furthermore, we show that, with the help of classical preprocessing, a single use of the circle test can approximate the permutation test efficiently for an arbitrary input size n.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
More From: Journal of Physics A: Mathematical and Theoretical
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.