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We develop a novel approach to Bell inequalities based on a constraint that the correlations exhibited by local variable theories must satisfy. This is used to construct a family of Bell inequalities for bipartite quantum systems of arbitrarily high dimensionality which are strongly resistant to noise. In particular, our work gives an analytic description… (More)

entanglement, quantum theory, quantum information, quantum computation, foundations of quantum mechanics Previous investigations of entanglement manipulations have focused on the average properties of the outcomes and little is known about the actual probability distribution. Here we go beyond the average properties. We show that, for a pure entangled state… (More)

Quantum mechanics permits nonlocality—both nonlocal correlations and nonlocal equations of motion—while respecting relativistic causality. Is quantum mechanics the unique theory that reconciles nonlocality and causality? We consider two models, going beyond quantum mechanics, of nonlocality: " superquantum " correlations, and nonlocal " jamming " of… (More)

Quantum mechanics and relativistic causality together imply nonlocality: nonlo-cal correlations (that violate the CHSH inequality) and nonlocal equations of motion (the Aharonov-Bohm effect). Can we invert the logical order? We consider a conjecture that nonlocality and relativistic causality together imply quantum mechanics. We show that correlations… (More)

by 1964, an old but still troubling story. The fact that identical measurements of identically prepared systems can yield different outcomes seems to challenge a basic tenet of science and philosophy. Frustration with the indeterminacy intrinsic to quantum mechanics was famously expressed in Albert Einstein's assertion that " God doesn't play dice. " By… (More)

- N. Linden, Sandu Popescu, A. Sudbery
- 1998

quantum mechanics, quantum information, quantum non-locality, quantum entanglement As far as entanglement is concerned, two density matrices of n particles are equivalent if they are on the same orbit of the group of local unitary transformations, U (d1) % ??? % U (dn) (where the Hilbert space of particle r has dimension dr). We show that for n greater than… (More)

- D. Boschi, S. Branca, F. De Martini, L. Hardy, S. Popescu
- 1998

We report on a quantum optical experimental implementation of tele-portation of unknown pure quantum states. This realizes all the nonlocal aspects of the original scheme proposed by Bennett et al. and is equivalent to it up to a local operation. We exhibit results for the teleportation of a linearly polarised state and of an elliptically polarised state.… (More)

We give a constructive proof that all mixed states of N qubits in a sufficiently small neighborhood of the maximally mixed state are separable (unentangled). The construction provides an explicit representation of any such state as a mixture of product states. We give upper and lower bounds on the size of the neighborhood, which show that its extent… (More)

Entanglement bits or " ebits " have been proposed as a quantitative measure of a fundamental resource in quantum information processing. For such an interpretation to be valid, it is important to show that the same number of ebits in different forms or concentrations are inter-convertible in the asymp-totic limit. Here we draw attention to a very important… (More)