Suppose you kill a foreigner while traveling, will you be prosecuted when you return home?

Theoretically, killing people first is a crime in any country. Secondly, the provisions on jurisdiction in China's criminal law include personal jurisdiction and territorial jurisdiction, that is to say, a person with China nationality will be investigated for responsibility in China's criminal law no matter which country he commits a crime (it seems that there are provisions that if the act is not a crime in the place where it occurred, it will not be investigated). Territorial jurisdiction, as long as citizens of any country commit crimes within the jurisdiction of the people of China, China has the right to try them.