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Boolean Approach to Dichotomic Quantum Measurement Theories
K. Nagata,T. Nakamura,J. Batle,S. Abdalla,A. Farouk 한국물리학회 2017 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.70 No.3
Recently, a new measurement theory based on truth values was proposed by Nagata and Nakamura [Int. J. Theor. Phys. 55, 3616 (2016)], that is, a theory where the results of measurements are either 0 or 1. The standard measurement theory accepts a hidden variable model for a single Pauli observable. Hence, we can introduce a classical probability space for the measurement theory in this particular case. Additionally, we discuss in the present contribution the fact that projective measurement theories (the results of which are either +1 or −1) imply the Bell, Kochen, and Specker (BKS) paradox for a single Pauli observable. To justify our assertion, we present the BKS theorem in almost all the two-dimensional states by using a projective measurement theory. As an example, we present the BKS theorem in two-dimensions with white noise. Our discussion provides new insight into the quantum measurement problem by using this measurement theory based on the truth values.
Multipartite Correlation Degradation in Amplitude-Damping Quantum Channels
J. Batle,A. Farouk,M. Alkhambashi,S. Abdalla 한국물리학회 2017 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.70 No.7
Multipartite correlations, such as entanglement and non-locality, are considered when particles pass through a generalized amplitude-damping channel. Results for pure and mixed states for two qubits suggest that initial mixed states can still be considered provided that their degree of mixture is low enough. Also, the ensuing small values for non-locality suggest that instances involving more than three parties cannot easily be considered for practical purposes.