mqsvc.exe is a application which is probably legit. So, if mqsvc.exe is on your computer, it is probably ok, and will NOT cause problems. Even if your system is virus-free, it is still recommended to use a good antivirus with a good track record, in order to defend your PC against viruses and malware.
This program is normally stored in C:\WINDOWS\System32\mqsvc.exe.
The MD5 checksum for this program is 6f1422468df5b12d87ef1b7956429721.
This application is registered as a Windows service. This means it runs on your PC in background, usually without showing anything to you. Most Windows services are ok programs, which provide useful features to other applications or to Windows in general.
mqsvc.exe appears to use the functions of Windows SFC (System File Checker) or Windows File Protection.
This is a x64 executable. It uses the full capacity of nowadays' CPUs.
mqsvc.exe is digitally signed. Today most virus-free programs are digitally signed.
The digital signature extracted from mqsvc.exe is valid. This is most likely a clean, ok program.
Digital certificate name: Microsoft Windows
Certificate's issuer name: Microsoft Windows Production PCA 2011
This executable does NOT have an uninstall routine stored in registry.