Journal
QUANTUM INFORMATION PROCESSING
Volume 19, Issue 8, Pages -Publisher
SPRINGER
DOI: 10.1007/s11128-020-02753-y
Keywords
Wave-particle duality; Quantum coherence; Predictability measures
Funding
- Coordenacao de Aperfeicoamento de Pessoal de Nivel Superior (CAPES) [88882.427924/2019-01]
- Fundacao de Amparo a Pesquisa do Estado do Rio Grande do Sul (FAPERGS)
- Instituto Nacional de Ciencia e Tecnologia de Informacao Quantica (INCT-IQ) [465469/2014-0]
Ask authors/readers for more resources
We derive upper bounds for Hilbert-Schmidt's quantum coherence of general states of a d-level quantum system, a qudit, in terms of its incoherent uncertainty, with the latter quantified using the linear and von Neumann's entropies of the corresponding closest incoherent state. Similar bounds are obtained for Wigner-Yanase's coherence. The reported inequalities are also given as coherence-populations trade-off relations. As an application example of these inequalities, we derive quantitative wave-particle duality relations for multi-slit interferometry. Our framework leads to the identification of predictability measures complementary to Hilbert-Schmidt's, Wigner-Yanase's, and l(1)-norm quantum coherences. The quantifiers reported here for the wave and particle aspects of a quanton follow directly from the defining properties of the quantum density matrix (i.e., semi-positivity and unit trace), contrasting thus with most related results from the literature.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available