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

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...
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Autor*in:	Mariano Lemus [verfasserIn] Ricardo Faleiro [verfasserIn] Paulo Mateus [verfasserIn] Nikola Paunković [verfasserIn] André Souto [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2024

Übergeordnetes Werk:	In: Quantum - Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften, 2018, 8, p 1230(2024)
Übergeordnetes Werk:	volume:8, p 1230 ; year:2024

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.22331/q-2024-01-18-1230

Katalog-ID:	DOAJ09752333X

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language	English
source	In Quantum 8, p 1230(2024) volume:8, p 1230 year:2024
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author	Mariano Lemus
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topic_title	QC1-999 Quantum Kolmogorov complexity and quantum correlations in deterministic-control quantum Turing machines
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title	Quantum Kolmogorov complexity and quantum correlations in deterministic-control quantum Turing machines
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title_sort	quantum kolmogorov complexity and quantum correlations in deterministic-control quantum turing machines
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title_auth	Quantum Kolmogorov complexity and quantum correlations in deterministic-control quantum Turing machines
abstract	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.
abstractGer	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.
abstract_unstemmed	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.
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title_short	Quantum Kolmogorov complexity and quantum correlations in deterministic-control quantum Turing machines
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