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Gacs Algorithmic Complexity on Hilbert Spaces and Some of its Applications
October 21, 2015 Β· Declared Dead Β· π arXiv.org
"No code URL or promise found in abstract"
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Authors
Samad Khabbazi Oskouei
arXiv ID
1511.00635
Category
quant-ph: Quantum Computing
Cross-listed
cs.IT
Citations
1
Venue
arXiv.org
Last Checked
5 months ago
Abstract
We extend the notion of Gacs quantum algorithmic entropy, originally formulated for finitely many qubits, to infinite dimensional quantum spin chains and investigate the relation of this extension with two quantum dynamical entropies that have been proposed in recent years. Further, we prove an extension of Brudno's theorem in quantum spin chains with shift dynamics.
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