We are looking for a test management tool similar to Quality Center
I would actually suggest that the equivalent tool does NOT exist.
My experience over the past few years is that you have to pick the programming language and the test automation framework within that language.
Even with test frameworks though, you will still need to manually write the structure of the tests and test suites. The test frameworks themelves do not specify or provide such an integrated tool.
The various answers about Jenkins (which would also apply to CircleCI my new favorite tool) do not apply in my opinion as they are about running an already developed suite using a continuous integration server. CI tools themselves do not solve the test organization issue.