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Error tradeoff uncertainty relations for three observables.
- Source :
-
Quantum Information Processing . Apr2024, Vol. 23 Issue 4, p1-10. 10p. - Publication Year :
- 2024
-
Abstract
- Heisenberg's uncertainty principle is originally represented by the tradeoff relations between the error of measuring an observable A and the consequential disturbance to the value of another observable B with respect to a particular quantum state. Many different error-disturbance tradeoff relations have been proposed and experimentally tested in various scenarios. The error-disturbance uncertainty relations is incorporated into multiparameter estimation theory recently, but they are all the tradeoff relations between the errors of measuring two observables. Here, we derive the error-disturbance tradeoff relations for three observables A, B and C and demonstrate that the new relation is violated, while the relations derived from triple of two observables A and B, A and C and B and C directly are valid by some examples. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ESTIMATION theory
*HEISENBERG uncertainty principle
*QUANTUM states
Subjects
Details
- Language :
- English
- ISSN :
- 15700755
- Volume :
- 23
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Quantum Information Processing
- Publication Type :
- Academic Journal
- Accession number :
- 177112128
- Full Text :
- https://doi.org/10.1007/s11128-024-04353-6