We investigate the consistency of conditional quantum probabilities. This is whether there is compatibility between the Kolmogorov-Bayes conditional probabilities and the Born rule. We show that they are not compatible in the sense that there are situations where there is no legitimate density matrix that may reproduce the conditional statistics of the other observable via the Born rule. This is to say that the Gleason theorem does not apply to conditional probabilities. Moreover, we show that when this occurs the joint statistics is nonclassical. We show that conditional probabilities are not equivalent to state reduction, so these results do not affect the validity of the Luders expression
Buschʼs theorem deriving the standard quantum probability rule can be regarded as a more general for...
We study nonclassicality in the product of the probabilities of noncommuting observables. We show th...
Quantum theory can be viewed as a generalization of classical probability theory, but the analogy as...
Kolmogorov's axioms of probability theory are extended to conditional probabilities among distinct (...
Guerra Bobo (2013) has questioned whether Lüders conditionalization for quantum probabilities suppli...
ABSTRACT: We argue that quantum theory does not allow for a generalization of the notion of classica...
In a recent manuscript, Gelman & Yao (2020) claim that "the usual rules of conditional probability f...
Guerra Bobo (2013) has questioned whether Lüders conditionalization for quantum probabilities suppli...
The quantum mechanical no-cloning theorem for pure states is generalized and transfered to the quant...
The quantum mechanical no-cloning theorem for pure states is generalized and transfered to the quant...
The quantum mechanical no-cloning theorem for pure states is generalized and transfered to the quant...
The quantum mechanical no-cloning theorem for pure states is generalized and transfered to the quant...
The quantum mechanical no-cloning theorem for pure states is generalized and transfered to the quant...
The quantum mechanical no-cloning theorem for pure states is generalized and transfered to the quant...
Quantum theory can be regarded as a non-commutative generalization of classical probability. From th...
Buschʼs theorem deriving the standard quantum probability rule can be regarded as a more general for...
We study nonclassicality in the product of the probabilities of noncommuting observables. We show th...
Quantum theory can be viewed as a generalization of classical probability theory, but the analogy as...
Kolmogorov's axioms of probability theory are extended to conditional probabilities among distinct (...
Guerra Bobo (2013) has questioned whether Lüders conditionalization for quantum probabilities suppli...
ABSTRACT: We argue that quantum theory does not allow for a generalization of the notion of classica...
In a recent manuscript, Gelman & Yao (2020) claim that "the usual rules of conditional probability f...
Guerra Bobo (2013) has questioned whether Lüders conditionalization for quantum probabilities suppli...
The quantum mechanical no-cloning theorem for pure states is generalized and transfered to the quant...
The quantum mechanical no-cloning theorem for pure states is generalized and transfered to the quant...
The quantum mechanical no-cloning theorem for pure states is generalized and transfered to the quant...
The quantum mechanical no-cloning theorem for pure states is generalized and transfered to the quant...
The quantum mechanical no-cloning theorem for pure states is generalized and transfered to the quant...
The quantum mechanical no-cloning theorem for pure states is generalized and transfered to the quant...
Quantum theory can be regarded as a non-commutative generalization of classical probability. From th...
Buschʼs theorem deriving the standard quantum probability rule can be regarded as a more general for...
We study nonclassicality in the product of the probabilities of noncommuting observables. We show th...
Quantum theory can be viewed as a generalization of classical probability theory, but the analogy as...