Quantum-Level Conclusion

David Gevaux

Yinpei He

This work presents an ontological framework for quantum behavior, offering a unified reinterpretation of quantum phenomena at the foundational level. Within this framework, a set of self-consistent theoretical constraints is established, completing the consistency-condition conclusion that was missing in the previous derivation. All conclusions are stated in a manner open to independent testing. The framework provides a unified narrative account of a broad range of quantum phenomena and yields a number of predictions open to independent verification. Notably, several quantum phenomena that have long remained at the level of empirical assumptions receive a unified description of their origin within this framework. No claim is made to resolve all foundational problems of quantum theory; instead, the domain of validity of every conclusion is clearly delineated, awaiting independent scrutiny from data and experiment.

Hong LU, LiBing CHEN

Alice, Cindy, and Bob are three remote parties. We present a scheme which allows Alice and Cindy to transform probabilistically and conclusively Bob's unknown d-level quantum (qudit) state into another. In this scheme, the remote positive operator valued measurements (POVM) lies at the heart. Based on the knowledge of probability amplitudes and phase factors of Bob's original state and target state, Alice and Cindy could construct jointly the required optimal POVM, which acts remotely on Bob's (2d-1)-dimensional direct sum space. We construct a quantum network for realizing the remote POVM with 2(d-1) remote two-level unitary rotations, and thus provide a feasible physical means to realize the remote POVM. The fact that the remote POVM could be realized using only 2(d-1) two-level Bell states (ebits) and 3(d-1) two-level classical communications (cbits) is notable. This scheme can be generalized to implement conclusively the (N+2)-party remote qudit state transformation via (d-1) (N+1)-body two-level GHZ states, in which the phase factors of Bob's original state and target state are shared jointly by N agents. The success probability of implementing this remote state transformation is also investigated. This scheme is simpler but conclusive, and more efficient but with less resource, which will make it more feasible with the current experimental technology and more suitable for large-scale quantum network.

B. M. Garraway

Serge Dolgikh

We analyze the relationship between quantum determinism and free will from the position of the computational theory, with the conclusion that a fully deterministic on a quantum level Universe does not preclude the existence of free will agents.