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An approach to induction is presented, based on the idea of analysing the context of a given problem into 'circumstances'. This approach, fully Bayesian in form and meaning, provides a complement or in some cases an alternative to that based on de Finetti's representation theorem and on the notion of infinite exchangeability. In particular, it gives an… (More)

Probability-like parameters appearing in some statistical models, and their prior distributions, are reinterpreted through the notion of `circumstance', a term which stands for any piece of knowledge that is useful in assigning a probability and that satisfies some additional logical properties. The idea, which can be traced to Laplace and Jaynes, is that… (More)

An approach to induction is presented, based on the idea of analysing the context of a given problem into 'circumstances'. This approach, fully Bayesian in form and meaning, provides a complement or in some cases an alternative to that based on de Finetti's representation theorem and on the notion of infinite exchangeability. In particular, it gives an… (More)

– In this paper, a new decoy-state scheme for quantum key distribution with parametric down-conversion source is proposed. We use both three-intensity decoy states and their triggered and nontriggered components to estimate the fraction of single-photon counts and quantum bit-error rate of single-photon, and then deduce a more accurate value of key… (More)

- Sanchez-Soto, Carlos Muñoz, Andrei B Klimov, Luis L Sánchez-Soto, Gunnar Björk
- 2008

Received Day Month Year Revised Day Month Year Discrete coherent states for a system of n qubits are introduced in terms of eigenstates of the finite Fourier transform. The properties of these states are pictured in phase space by resorting to the discrete Wigner function.

This is the first part of a three-note study which starts from an analysis of " probabilities of probabilities " to arrive at old and new state-assignment methods in classical and quantum mechanics. In this note, probability-like parameters appearing in some statistical models, and their prior distributions, are reinterpreted through the notion of… (More)

In this paper, we will show that a vanishing generalized concurrence of a separable state can be seen as an algebraic variety called the Segre variety. This variety define a quadric space which gives a geometric picture of separable states. For pure, bi-and three-partite states the variety equals the generalized concurrence. Moreover, we generalize the… (More)

- Roberth Asplund, Gunnar Björk, Mohamed Bourenanne
- 2000

We discuss a real-valued expansion of any Hermitian operator defined in a Hilbert space of finite dimension N , where N is a prime number, or an integer power of a prime. The expansion has a direct interpretation in terms of the operator expectation values for a set of complementary bases. The expansion can be said to be the complement of the discrete… (More)