In this chapter, the term "classical probability" is used for probability represented mathematically by the measure-theoretic model of Kolmogorov (so to say, Kolmogorovean probability); the term "quantum probability" is used for theory of probability based on the complex Hilbert representation and ...
Probability and Randomness: Quantum Versus Classical Creating a rigorous mathematical theory of randomness is far from being complete, even in the classical case. Probability and Randomness: Quantum versus Classical rectifies this and introduces mathematical formalisms of classical and qua... Khrennikov...
Assumption (Q) captures the universal validity of quantum theory (or, more specifically, that an agent can be certain that a given proposition holds whenever the quantum-mechanical Born rule assigns probability-1 to it). Assumption (C) demands consistency, in the sense that the different agents...
Randomization and probability distribution The benefits of the proposed randomization in \({{\mathscr {A}}}_{f}^{L} \) are as follows. The randomization applied \({{{\mathscr {A}}}_{f}^{L} \) in allows us to create an optimal \({{{\mathscr {S}}}_{l} \) learning set and ...
PHYSICAL REVIEW RESEARCH 2, 013016 (2020)Eff i cient randomness certif i cation by quantum probability estimationYanbao Zhang , 1,* Honghao Fu, 2 and Emanuel Knill 3,41 NTT Basic Research Laboratories and NTT Research Center for Theoretical Quantum Physics, NTT Corporation,3-1 Morinosato-Wakamiya...
Quantum Coherence and Intrinsic Randomness The peculiar uncertainty or randomness of quantum measurements stems from quantum coherence, whose information‐theoretic characterization is currently und... X Yuan,Q Zhao,D Girolami,... - 《Advanced Quantum Technologies》 被引量: 0发表: 2019年 The Quantum ...
A large variety of quantum key distribution schemes have been proposed following the original Bennett and Brassard protocol [1984], now known as BB84. The core idea there was for Alice to send Bob a sequence of qubits, prepared with equal probability in one of the states |0〉,|1〉,|+〉...
standard probability calculusIn quantum physics all experimental information is discrete and stochastic. But the values of physical quantities are considered to depict definite properties of the physical world. Thus physical quantities should be identified with mathematical variables which are derived from ...
Total Failure ProbabilityBell InequalitiesBell TestQuantum Optical TechnologyRandomness is important for many information processing applications, including numerical modelling and cryptography1,2. Device-independent quantum random-number generation (DIQRNG)3,4 based on the loophole-free violation of a Bell ...
Quantum measurement is required element in high-complexity quantum computations, in high-performance quantum information processing and in quantum computer architectures. The main issues of current quantum measurement strategies are the high number of measurement rounds and the probability of successfully find...