31 research outputs found
On deciding whether a Boolean function is constant or not
We study the probability of making an error if, by querying an oracle a fixed
number of times, we declare constant a randomly chosen n-bit
Boolean function. We compare the classical and the quantum case, and we
determine for how many oracle-queries k and for how many bits n one querying
procedure is more efficient than the other.Comment: 8 pages, Latex, 5 figures; accepted for publication on International
Journal of Quantum Informatio
Which Kind of Two-Particle States Can Be Teleported through a Three-Particle Quantum Channel?
The use of a three-particle quantum channel to teleport entangled states
through a slight modification of the standard teleportation procedure is
studied. It is shown that it is not possible to perform successful
teleportation of an arbitrary and unknown two-particle entangled state,
following our version of the standard teleportation procedure. On the contrary,
it is shown which, and in how many different ways, particular classes of
two-particle states can be teleported.Comment: 11 pages, Latex, to appear in Found.Phys.Let
Nonlocality without inequalities
We prove that every conceivable hidden variable model reproducing the quantum
mechanical predictions of almost any entangled state must necessarily violate
Bell's locality condition. The proof does not involve the consideration of any
Bell inequality but it rests on simple set theoretic arguments and it works for
almost any noncompletely factorizable state vector associated to any number of
particles whose Hilbert spaces have arbitrary dimensionality.Comment: 10 pages; Latex; Talk delivered at ICSSUR'05, Besancon, France, 2-6
May 2005; to be published on J. Opt. B (special issue
Reply to "Comment on: A Quantum Approach to Static Games of Complete Information"
This is a reply to the paper by S.C.Benjamin, quant-ph/0008127.Comment: 2 pages, Latex, submitted to Phys. Lett.
Entanglement and Properties
Various topics concerning the entanglement of composite quantum systems are
considered with particular emphasis concerning the strict relations of such a
problem with the one of attributing objective properties to the constituents.
In particular we will focus our attention to composite quantum systems composed
of identical constituents, with the purpose of dealing with subtle issues,
which have never been adequately discussed in the literature, originating from
the true indistinguishability of the subsystems involved.Comment: 10 pages, Latex, corrected typo
Hardy's criterion of nonlocality for mixed states
We generalize Hardy's proof of nonlocality to the case of bipartite mixed
statistical operators, and we exhibit a necessary condition which has to be
satisfied by any given mixed state in order that a local and realistic
hidden variable model exists which accounts for the quantum mechanical
predictions implied by . Failure of this condition will imply both the
impossibility of any local explanation of certain joint probability
distributions in terms of hidden variables and the nonseparability of the
considered mixed statistical operator. Our result can be also used to determine
the maximum amount of noise, arising from imperfect experimental
implementations of the original Hardy's proof of nonlocality, in presence of
which it is still possible to put into evidence the nonlocal features of
certain mixed states.Comment: 7 pages, RevTe
A Quantum Approach To Static Games Of Complete Information
We extend the concept of a classical two-person static game to the quantum
domain, by giving an Hilbert structure to the space of classical strategies and
studying the Battle of the Sexes game. We show that the introduction of
entangled strategies leads to a unique solution of this game.Comment: 17 pages, Latex, to be published on Phys.Lett.A; revised versio
Comment on "Bell's Theorem without Inequalities and without Probabilities for Two Observers"
In this Comment we show that Cabello's argument [Phys. Rev. Lett. 86, 1911
(2001)] which proves the nonlocal feature of any classical model of quantum
mechanics based on Einstein-Podolsky-Rosen (EPR) criterion of elements of
reality, must involve at least four distant observers rather than the two
employed by the author. Moreover we raise a remark on the necessity of
performing a real experiment confirming Cabello's argument.Comment: 1 page, REVTex4 fil