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Intrinsic and Measured Information in Separable Quantum Processes
by
Gier, David
, Crutchfield, James P.
in
Analysis
/ Atoms
/ classical information theory
/ Codes
/ Distributed memory
/ Entropy
/ hidden Markov models
/ information source
/ Information sources
/ Information theory
/ Markov analysis
/ Measurement
/ quantum information theory
/ Quantum phenomena
/ Quantum physics
/ quantum stochastic process
/ Random variables
/ Stochastic models
/ Stochastic processes
/ Tomography
2025
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Intrinsic and Measured Information in Separable Quantum Processes
by
Gier, David
, Crutchfield, James P.
in
Analysis
/ Atoms
/ classical information theory
/ Codes
/ Distributed memory
/ Entropy
/ hidden Markov models
/ information source
/ Information sources
/ Information theory
/ Markov analysis
/ Measurement
/ quantum information theory
/ Quantum phenomena
/ Quantum physics
/ quantum stochastic process
/ Random variables
/ Stochastic models
/ Stochastic processes
/ Tomography
2025
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Do you wish to request the book?
Intrinsic and Measured Information in Separable Quantum Processes
by
Gier, David
, Crutchfield, James P.
in
Analysis
/ Atoms
/ classical information theory
/ Codes
/ Distributed memory
/ Entropy
/ hidden Markov models
/ information source
/ Information sources
/ Information theory
/ Markov analysis
/ Measurement
/ quantum information theory
/ Quantum phenomena
/ Quantum physics
/ quantum stochastic process
/ Random variables
/ Stochastic models
/ Stochastic processes
/ Tomography
2025
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Intrinsic and Measured Information in Separable Quantum Processes
Journal Article
Intrinsic and Measured Information in Separable Quantum Processes
2025
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Overview
Stationary quantum information sources emit sequences of correlated qudits—that is, structured quantum stochastic processes. If an observer performs identical measurements on a qudit sequence, the outcomes are a realization of a classical stochastic process. We introduce quantum-information-theoretic properties for separable qudit sequences that serve as bounds on the classical information properties of subsequent measured processes. For sources driven by hidden Markov dynamics, we describe how an observer can temporarily or permanently synchronize to the source’s internal state using specific positive operator-valued measures or adaptive measurement protocols. We introduce a method for approximating an information source with an independent and identically distributed, Markov, or larger memory model through tomographic reconstruction. We identify broad classes of separable processes based on their quantum information properties and the complexity of measurements required to synchronize to and accurately reconstruct them.
Publisher
MDPI AG,MDPI
Subject
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