A more precise term of art is "Speaker Recognition" as opposed to "Voice Recognition", so as not to be confused with "Speech Recognition".
https://en.wikipedia.org/wiki/Speaker_recognition
>Speaker recognition is the identification of a person from characteristics of voices. It is used to answer the question "Who is speaking?" The term voice recognition can refer to speaker recognition or speech recognition. Speaker verification (also called speaker authentication) contrasts with identification, and speaker recognition differs from speaker diarisation (recognizing when the same speaker is speaking).
https://en.wikipedia.org/wiki/Speaker_diarisation
>Recognizing the speaker can simplify the task of translating speech in systems that have been trained on specific voices or it can be used to authenticate or verify the identity of a speaker as part of a security process. Speaker recognition has a history dating back some four decades as of 2019 and uses the acoustic features of speech that have been found to differ between individuals. These acoustic patterns reflect both anatomy and learned behavioral patterns.
It's actually been used in criminal cases:
>Speaker recognition may also be used in criminal investigations, such as those of the 2014 executions of, amongst others, James Foley and Steven Sotloff.
https://www.theguardian.com/media/2014/sep/02/steven-sotloff...
>An investigation is under way to establish whether the man dubbed Jihadi John is behind a second murder after a British-accented man was shown in the video depicting the killing of Steven Sotloff.
>Security sources said that although there were similarities between the voice on the film that emerged on Tuesday and that depicting the murder of James Foley a fortnight ago, the figure is largely hidden in black clothing.
>A man with a British accent was seen in an Islamic State video posted last month in which the American journalist James Foley was beheaded. He was dubbed Jihadi John after one former hostage spoke about three Britons, collectively know as the Beatles, who were among their captors, one of whom went by the name of John. In both videos, the speaker has what appears to be a London accent.