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The ability to identify cause-effect relations is an essential component of the scientific method.
Quantum detection and estimation theory
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Optimal cloning of pure states
Werner, R. F · 1998
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Cryptographic distinguishability measures for quantum-mechanical states
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Optimal manipulations with qubits: Universal-not gate
Bužek, V., Hillery, M. & Werner, R · 1999
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Causation, prediction, and search (MIT press, 2000)
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Quantum theory from five reasonable axioms
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Applications of coherent classical communication and the schur transform to quantum information theory
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Quantum dynamics as an analog of conditional probability
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The spectra of quantum states and the kronecker coefficients of the symmetric group
Christandl, M. & Mitchison, G · 2006
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Generalized no-broadcasting theorem
Barnum, H., Barrett, J., Leifer, M. & Wilce, A · 2007
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Information processing in generalized probabilistic theories
Barrett, J · 2007
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Reference frames, superselection rules, and quantum information
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Discriminating states: The quantum chernoff bound
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Quartic quantum theory: an extension of the standard quantum mechanics
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Causality (Cambridge University Press, 2009)
Pearl, J · 2009
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Theoretical framework for quantum networks
Chiribella, G., D’Ariano, G. M. & Perinotti, P · 2009
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Discrimination of two channels by adaptive methods and its application to quantum system
Hayashi, M · 2009
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Introduction to algorithms (MIT press, 2009)
Cormen, T. H., Leiserson, C. E., Rivest, R. L. & Stein, C · 2009
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Probabilistic theories with purification
Chiribella, G., D’Ariano, G. & Perinotti, P · 2010
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Foliable operational structures for general probabilistic theories
Hardy, L · 2011
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A graph-separation theorem for quantum causal models
Pienaar, J. & Brukner, Č · 2015
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The lesson of causal discovery algorithms for quantum correlations: Causal explanations of bell-inequality violations require fine-tuning
Wood, C. J. & Spekkens, R. W · 2015
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Quantum correlations which imply causation
Fitzsimons, J. F., Jones, J. A. & Vedral, V · 2015
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A quantum advantage for inferring causal structure
Ried, K. et al · 2015
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Information–theoretic implications of quantum causal structures
Chaves, R., Majenz, C. & Gross, D · 2015
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An introduction to quantum machine learning
Schuld, M., Sinayskiy, I. & Petruccione, F · 2015
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Probabilistic and statistical aspects of quantum theory , vol. 1 (Springer Science & Business Media, 2011)
Holevo, A. S · 2011
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Group theoretic structures in the estimation of an unknown unitary transformation
Chiribella, G · 2011
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Picturing classical and quantum bayesian inference
Coecke, B. & Spekkens, R. W · 2012
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Quantum correlations with no causal order
Oreshkov, O., Costa, F. & Brukner, Č · 2012
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Towards a formulation of quantum theory as a causally neutral theory of bayesian inference
Leifer, M. S. & Spekkens, R. W · 2013
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Quantum computations without definite causal structure
Chiribella, G., D’Ariano, G. M., Perinotti, P. & Valiron, B · 2013
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Hyperdense coding and superadditivity of classical capacities in hypersphere theories
Massar, S., Pironio, S. & Pitalúa-García, D · 2015
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Barnum, H., Graydon, M. A. & Wilce, A · 2015
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Quantum causal modelling
Costa, F. & Shrapnel, S · 2016
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Quantum Theory: Informational Foundations and Foils (Springer, 2016)
Chiribella, G. & Spekkens, R. W · 2016
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Causal boxes: Quantum information-processing systems closed under composition
Portmann, C., Matt, C., Maurer, U., Renner, R. & Tackmann, B · 2017
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Quantum common causes and quantum causal models
Allen, J.-M. A., Barrett, J., Horsman, D. C., Lee, C. M. & Spekkens, R. W · 2017
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Quantum-coherent mixtures of causal relations
MacLean, J.-P. W., Ried, K., Spekkens, R. W. & Resch, K. J · 2017
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Quantum machine learning
Biamonte, J. et al · 2017
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Quantum violation of an instrumental test
Chaves, R. et al · 2018
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Quantum violations in the instrumental scenario and their relations to the Bell scenario
Van Himbeeck, T. et al · 2018
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A quantum causal discovery algorithm
Giarmatzi, C. & Costa, F · 2018
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Optimal port-based teleportation
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