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

[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.

[发布机构] 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

[效力级别] 力学 [学科分类] 力学，机械学

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