Философски поглед към въвеждането на отрицателна и комплексна вероятност в квантовата информация
A Philosophical View on the Introduction of Negative and Complex Probability in Quantum Information

Summary/Abstract: „Negative probability“ in practice: quantum communication. Very small phase space regions turn out to be thermodynamically analogical to those of superconductor. Macro-bodies or signals might exist in coherent or entangled state. Such physical objects having shockingly extraordinary properties could be in the base of quantum communicative channels or even „material“ ones … Questions and a few answers about negative probability: Why does it appear in quantum mechanics? It appears in phase-space formulated quantum mechanics; next, in quantum correlations … and for wave-corpuscular dualism. Its meaning, mathematically: a ratio of two measures (of sets), which are not collinear; physically: of the ratio of the measuring of two physical quantities, which are not simultaneously measurable. The main innovation is about the mapping between phase and Hilbert space since both are sums. Phase space is a sum of cells, and Hilbert space is a sum of qubits. The mapping is reduced to the mapping of a cell into a qubit and vice versa. Negative probability helps quantum mechanics to be represented quasi-statistically by quasi-probabilistic distributions. The states of negative probability cannot happen, but they, where they are, decrease the sum probability of the integrally positive regions of the distributions. They reflect the immediate interaction (interference) of probabilities in quantum mechanics.

• Details
• Contents