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Quantum classification is defined as the task of predicting the associated class of an unknown quantum state drawn from an ensemble of pure states given a finite number of copies of this state.
“Bounds for the quantity of information transmitted by a quantum mechanical channel”,
Holevo, A. S., · 1973
Earlier work this paper cites.
“Multidimensional binary search tree used for associative searching”,
Bentley, J.L., · 1975
Earlier work this paper cites.
Quantum Detection and Estimation Theory ,
Helstrom, C. W., · 1976
Earlier work this paper cites.
“A single quantum cannot be cloned”,
Wootters, W. K. and Żurek, W. C., · 1982
Earlier work this paper cites.
“Optimal detection of quantum information”,
Peres, A. and Wootters, W. K., · 1991
Earlier work this paper cites.
“Quantum complexity theory”,
Bernstein, E. and Vazirani, U., · 1993
Earlier work this paper cites.
“A “pretty good” measurement for distinguishing quantum states”, Journal of Modern Optics 41
Hausladen, P., and Wootters, W.K., · 1994
Earlier work this paper cites.
The Nature of Statistical Learning Theory ,
Vapnik, V., · 1995
Earlier work this paper cites.
“Stabilisation of quantum computations by symmetrisation”,
Barenco, A., Berthiaume, A., Deutsch, D., Ekert, A., Jozsa, R. and Macchiavello, C., · 1997
Earlier work this paper cites.
Machine Learning ,
Mitchell, T., · 1997
Earlier work this paper cites.
“Quantum entanglement and the communication complexity of the inner product”,
Cleve, R., van Dam, W., Nielsen, M. and Tapp, A., · 1999
Earlier work this paper cites.
“Distinguishability of states and the von Neumann entropy”,
Jozsa, R. and Schlienz, J., · 2000
Cited alongside, same era.
Quantum Computation and Quantum Information ,
Nielsen, M. A. and Chuang, I. L., · 2000
Cited alongside, same era.
“Quantum fingerprinting”,
Buhrman, H., Cleve, R., Watrous, J. and de Wolf, R., · 2001
Cited alongside, same era.
Pattern Classification ,
Duda, R., Hart, P. and Stork, D., · 2001
Cited alongside, same era.
“Reversing quantum dynamics with near-optimal quantum and classical fidelity”,
Barnum, M. and Knill, E., · 2002
Cited alongside, same era.
“Quantum learning and universal quantum matching machine”,
Sasaki, M. and Carlini, A., · 2002
Cited alongside, same era.
“Error limiting reductions between classification tasks”,
Beygelzimer, A., Dani, V., Hayes, T., Langford, J. and Zadrozny, B., · 2005
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“Weighted one-against-all”,
Beygelzimer, A., Langford, J. and Zadrozny, B., · 2005
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“Optimal unambiguous discrimination of two mixed quantum states”, Physical Reviews A 71
Herzog, U. and Bergou, J. A., · 2005
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“Machine learning in a quantum world”,
Aïmeur, E., Brassard, G. and Gambs, S., · 2006
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“Maximum confidence quantum measurements”, Physical Reviews 76
Croke, S., Anderson, E., Barnett, S.M., Gilson, C.R. and Jeffers, J., · 2006
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“Information-disturbance tradeoff in quantum measurements”, Physical Reviews A 73
Maccone, L., · 2006
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Zadrozny, B., Langford, J. and Naoki, A., · 2003
Cited alongside, same era.
“Discrimination of quantum states”,
Bergou, J., Herzog, U. and Hillery, M., · 2004
Cited alongside, same era.
“Covariant quantum measurements which maximize the likelihood”, Physical Reviews A 70
Chiribella, G., Mauro D’Ariano, G., Perinotti, P. and Sacchi, M., · 2004
Cited alongside, same era.
“In defense of one-vs-all classification”,
Rifkin, R. and Klatau, A., · 2004
Cited alongside, same era.
“On the distinguishability of random quantum states”,
Montanaro, A., · 2006
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“The learnability of quantum states”,
Aaronson, S., · 2007
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“Multiclass classification with filter trees”,
Beygelzimer, A., Langford, J. and Ravikumar, P., · 2007
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“A lower bound on the probability of error in quantum state discrimination”,
Montanaro, A., · 2008
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