Robertson-Schr?dinger formulation of Ozawa's uncertainty principle

7th International Workshop DICE2014 Spacetime – Matter – Quantum Mechanics

物理学;力学

Bastos, Catarina^1 ; Bernardini, Alex E.^2 ; Bertolami, Orfeu^3 ; Dias, Nuno Costa^4 ; Prata, João Nuno^4,5

Instituto de Plasmas e Fusão Nuclear, Instituto Superior Técnico, Avenida Rovisco Pais 1, Lisboa

1049-001, Portugal^1

Departamento de Fisica, Universidade Federal de São Carlos, PO Box 676, São Carlos, SP

13565-905, Brazil^2

Departamento de Fisica e Astronomia, Faculdade de Ciências da Universidade Do Porto, 687 Rua do Campo Alegre, Porto

4169-007, Portugal^3

Departamento de Matemática, Universidade Lusófona de Humanidades e Tecnologias, 376 Avenida Campo Grande, Lisboa

1749-024, Portugal^4

Grupo de Física Matemática, UL, Avenida Prof. Gama Pinto 2, Lisboa

1649-003, Portugal^5

关键词: Matrix formulation;    Measurement disturbances;    Measuring device;    Symplectic transformations;    Uncertainty principles;    Uncertainty relation;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/626/1/012050/pdf
DOI  :  10.1088/1742-6596/626/1/012050

学科分类：力学，机械学

来源: IOP

【 摘 要 】

A more general measurement disturbance uncertainty principle is presented in a Robertson-Schrödinger formulation. It is shown that it is stronger and having nicer properties than Ozawa's uncertainty relations. In particular it is invariant under symplectic transformations. One shows also that there are states of the probe (measuring device) that saturate the matrix formulation of measurement disturbance uncertainty principle.