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The goal of this research is to develop provable secure computation techniques for two biometric security tasks in complex distributed systems involving multiple parties; namely biometric data retrieval and authentication. We first present models for privacy and security that delineate the conditions under which biometric data disclosure are allowed. We then discuss the secure computation techniques for retrieval and authentication that satisfy the conditions for privacy and security. For proof-of-concept, we show a practical implementation of a privacy preserving speaker verification system and discuss the performance tradeoff.