Abstract: Systems and methods are for seedless generation of random bit strings are disclosed. A System generates a secret key from a raw key received from a quantum source of randomness using a seedless randomness extractor that generates the secret key by applying a deterministic function on the raw key to transform the partially random raw bits into a near uniformly random output random bit string without using a seed random bit string. The system determines a Bell value quantifying violation of a Bell inequality by the raw bits. A distance between the secret key and a uniform random distribution is limited by an upper bound at least partially dependent on the determined Bell value.

Abstract: This disclosure relates to protocols and systems for generating random bit strings by amplifying weak bit strings using certified quantum random bit strings generated by measuring a quantum state of entangled photons. Some disclosed systems include a quantum apparatus comprising one or more quantum systems configured to generate entangled photons and measure their quantum state. Certain disclosed systems include one or more security tests, wherein at least one security test evaluates the quantum nature of the measurements using a Bell inequality. A randomness extractor can amplify the randomness of weak random strings using random strings certified by the security tests. The generated random bit strings may be used as cryptographic keys.

Abstract: This disclosure relates to protocols and systems for generating random bit strings by amplifying weak bit strings using certified quantum random bit strings generated by measuring a quantum state of entangled photons. Some disclosed systems include a quantum apparatus comprising one or more quantum systems configured to generate entangled photons and measure their quantum state. Certain disclosed systems include one or more security tests, wherein at least one security test evaluates the quantum nature of the measurements using a Bell inequality. A randomness extractor can amplify the randomness of weak random strings using random strings certified by the security tests. The generated random bit strings may be used as cryptographic keys.