论文信息 - Perfect correlations between noncommuting observables

Perfect correlations between noncommuting observables

The problem as to when two noncommuting observables are considered to have the same value arises commonly, but shows a nontrivial difficulty. Here, an answer is given by establishing the notion of perfect correlations between noncommuting observables and applied to obtain a criterion for precise measurements of a given observable in a given state.

Masanao Ozawa

[1] L. Ballentine,et al. Quantum Theory: Concepts and Methods , 1994 .

[2] I. Chuang,et al. Quantum Computation and Quantum Information: Bibliography , 2010 .

[3] M. Ozawa. Quantum measuring processes of continuous observables , 1984 .

[4] Masanao Ozawa. Operations, disturbance, and simultaneous measurability , 2001 .

[5] E. Wigner. The Problem of Measurement , 1963 .

[6] Masanao Ozawa,et al. Realization of Measurement and the Standard Quantum Limit , 2015, 1505.01083.

[7] J. Neumann. Mathematical Foundations of Quantum Mechanics , 1955 .

[8] Vladimir B. Braginsky,et al. Quantum Measurement , 1992 .

[9] N. Mermin. Quantum theory: Concepts and methods , 1997 .

[10] Masanao Ozawa. Uncertainty relations for noise and disturbance in generalized quantum measurements , 2003 .

[11] J. Neumann. Mathematische grundlagen der Quantenmechanik , 1935 .

[13] P. Busch,et al. The quantum theory of measurement , 1991 .

[14] T. Heinonen,et al. Noise and disturbance in quantum measurement , 2004 .