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- José L. Cereceda
- 2000

Relativistic causality, namely, the impossibility of signaling at su-perluminal speeds, restricts the kinds of correlations which can occur between different parts of a composite physical system. Here we establish the basic restrictions which relativistic causality imposes on the joint probabilities involved in an experiment of the… (More)

- José L. Cereceda
- 2004

In this paper we extend Hardy's nonlocality proof for two spin-1/2 particles to the case of n spin-1/2 particles configured in the generalized GHZ state. We show that, for all n ≥ 3, any entangled GHZ state (including a maximally entangled one) does exhibit Hardy's nonlocality. It turns out that the maximal amount of violation of the Bell inequality… (More)

- José L. Cereceda
- 2008

By using an alternative, equivalent form of the CHSH inequality and making extensive use of the experimentally testable property of physical locality we determine the 64 different Bell-type inequalities (each one involving four joint probabilities) into which Hardy's nonlocality theorem can be cast. This allows one to identify all the two-qubit correlations… (More)

- José L. Cereceda
- 2001

We consider a situation in which two parties, Alice and Bob, share a 3-qubit system coupled in an initial maximally entangled, GHZ state. By manipulating locally two of the qubits, Alice can prepare any one of the eight 3-qubit GHZ states. Thus the sending of Alice's two qubits to Bob, entails 3 bits of classical information which can be recovered by Bob by… (More)

- José L. Cereceda
- 1999

In this paper the failure of Hardy's nonlocality proof for the class of maximally entangled states is considered. A detailed analysis shows that the incompatibility of the Hardy equations for this class of states physically originates from the fact that the existence of quantum perfect correlations for the three pairs of two-valued observables (D 11 , D… (More)

- José L. Cereceda
- 2003

In this paper, a new measure of entanglement for general pure bipartite states of two qutrits is formulated. One main goal of modern quantum theory is the characterization and quantification of the property of entanglement exhibited by composite quantum systems, as entanglement is the key resource in many of the recent quantum information applications. In… (More)

- José L. Cereceda
- 2004

Deutsch's algorithm for two qubits (one control qubit plus one auxiliary qubit) is extended to two d-dimensional quantum systems or qudits for the case in which d is equal to 2 n , n = 1, 2,. .. . This allows one to classify a certain oracle function by just one query, instead of the 2 n−1 + 1 queries required by classical means. The given algorithm for two… (More)

- José L. Cereceda
- 2008

In this paper we provide a simple proof of the fact that for a system of two spin-1 2 particles, and for a choice of a set of observables, there is a unique state which shows Hardy-type nonlocality. Moreover, an explicit expression for the probability that an ensemble of particle pairs prepared in such a state exhibits a Hardy-type nonlocality contradiction… (More)

In this paper we consider the hypersum polynomials, P (m) k (n) = k+m+1 r=0 c r k,m n r , and give an explicit formula for the coefficients c r k,m. We show that the c r k,m 's satisfy a generalized Akiyama-Tanigawa recurrence relation, thus extending some previous results due to Inaba. We also give a number of identities involving the Stirling numbers of… (More)

- José L. Cereceda
- 2001

The relationship between the noncommutativity of operators and the violation of the Bell inequality is exhibited in the light of the n-particle Bell-type inequality discovered by Mermin [Phys. Rev. Lett. 65 (1990) 1838]. It is shown, in particular, that the maximal amount of violation of Mermin's inequality predicted by quantum mechanics decreases… (More)