The Enigma of Probability and Physics

Osamu Hirota

This research note II introduces a way to understand a basic concept of the quantum enigma cipher. The conventional cipher is designed by a mathematical algorithm and its security is evaluated by the complexity of the algorithm in security analysis and ability of computers. This kind of cipher can be decrypted with probability one in principle by the Brute force attack in which an eavesdropper tries all the possible keys based on the correct ciphertext and some known plaintext. A cipher with quantum effects in physical layer may protect the system from the Brute force attack by means of the quantum no cloning theorem and randomizations based on quantum noise effect. The randomizations for the ciphertext which is the output from the mathematical encryption box is crucial to realize a quantum enigma cipher. Especially, by randomizations, it is necessary to make a substantial difference in accuracy of ciphertext in eavesdropper's observation and legitimate user's observation. The quantum illumination protocol can make a difference in error performance of the legitimate's receiver and the eavesdropper's receiver. This difference is due to differences in ability of the legitimate's receiver with entanglement and the eavesdropper's receiver without entanglement. It is shown in this note that the quantum illumination can be employed as an element of the most simple quantum enigma cipher.

M. S. Bartlett

Kurt Alfred Georg Mendelssohn

Bruce Rosenblum, Fred Kuttner

Abstract Consciousness and the quantum enigma are not just two mysteries; they are the two mysteries: the first, the physical demonstration of the quantum enigma, faces us with a fundamental mystery of the objective world “out there;” the second, conscious awareness, faces us with the fundamental mystery of the subjective, mental world “in here.” Quantum mechanics appears to connect the two.

Bruce Rosenblum, Fred Kuttner

Abstract This is a controversial book. But nothing we say about quantum mechanics is controversial. The experimental results we report and our explanation of them with quantum theory are completely undisputed. It is the mystery these results imply beyond physics that is hotly disputed. For many physicists, this mystery, the quantum enigma, is best not talked about. It displays physics’ encounter with consciousness. It’s the skeleton in our closet.