Abstract: A secure parallel processing technique for converting any parallel random access machine (PRAM) into an oblivious parallel random access machine (OPRAM), whose distribution of memory accesses is statistically independent of the data (with negligible error), while only inducing a polylogarithmic slowdown to both the total and parallel complexities of the program.

Abstract: A secure parallel processing technique for converting any parallel random access machine (PRAM) into an oblivious parallel random access machine (OPRAM), whose distribution of memory accesses is statistically independent of the data (with negligible error), while only inducing a polylogarithmic slowdown to both the total and parallel complexities of the program.

Abstract: A method of generating a random bit string includes receiving a binary input string, creating copies of the binary input string received from the min-entropy source, and providing each of the copies of the binary input string to one of a plurality of randomness extractors. The method further includes, for each randomness extractor, providing the respective extracted output binary string to one of a plurality of quantum devices, where each of the plurality of quantum devices is configured to (i) receive the extracted output binary string as a locally random input signal string, random only to that respective quantum device, and (ii) transform the received locally random input string into a globally random output signal string. Still further, the method includes combining the plurality of globally random output signal strings from the plurality of quantum devices to generate the random bit string.

Abstract: A method of generating a random bit string includes receiving a binary input string, creating copies of the binary input string received from the min-entropy source, and providing each of the copies of the binary input string to one of a plurality of randomness extractors. The method further includes, for each randomness extractor, providing the respective extracted output binary string to one of a plurality of quantum devices, where each of the plurality of quantum devices is configured to (i) receive the extracted output binary string as a locally random input signal string, random only to that respective quantum device, and (ii) transform the received locally random input string into a globally random output signal string. Still further, the method includes combining the plurality of globally random output signal strings from the plurality of quantum devices to generate the random bit string.