BIBLIOS

Tipo
Artigos em Revista

Tipo de Documento
Artigo Completo

Título
Quantum Kolmogorov complexity and quantum correlations in deterministic-control quantum Turing machines

Participantes na publicação
Mariano Lemus (Author)
Ricardo Faleiro (Author)
Paulo Mateus (Author)
Nikola Paunković (Author)
André Souto (Author)
Dep. Informática
LASIGE

Resumo
This work presents a study of Kolmogorov complexity for general quantum states from the perspective of deterministic-control quantum Turing Machines (dcq-TM). We extend the dcq-TM model to incorporate mixed state inputs and outputs, and define dcq-computable states as those that can be approximated by a dcq-TM. Moreover, we introduce (conditional) Kolmogorov complexity of quantum states and use it to study three particular aspects of the algorithmic information contained in a quantum state: a comparison of the information in a quantum state with that of its classical representation as an array of real numbers, an exploration of the limits of quantum state copying in the context of algorithmic complexity, and study of the complexity of correlations in quantum systems, resulting in a correlation-aware definition for algorithmic mutual information that satisfies symmetry of information property.


Suporte
Quantum

Identificadores da Publicação
ISSN - 2521-327X

Editora
Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften



Identificadores do Documento
DOI - https://doi.org/10.22331/q-2024-01-18-1230
URL - http://dx.doi.org/10.22331/q-2024-01-18-1230