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- P. A. Zizzi
- 2006

As it is well known, quantum entanglement is one of the most important features of quantum computing, as it leads to massive quantum parallelism, hence to exponential computational speed-up. In a sense, quantum entanglement is considered as an implicit property of quantum computation itself. But...can it be made explicit? In other words, is it possible to… (More)

- Paola Zizzi
- ArXiv
- 2008

The logic which describes quantum robots is not orthodox quantum logic, but a deductive calculus which reproduces the quantum tasks (computational processes, and actions) taking into account quantum superposition and quantum entanglement. A way toward the realization of intelligent quantum robots is to adopt a quantum metalanguage to control quantum robots.… (More)

- P. A. Zizzi
- 2004

We consider the quantum computational process as viewed by an insider observer: this is equivalent to an isomorphism between the quantum computer and and a quantum space, namely the fuzzy sphere. The result is the formulation of a reversible quantum measurement scheme, with no hidden information.

- Giulia Battilotti, Paola Zizzi
- ArXiv
- 2004

We give the logical description of a new kind of quantum measurement that is a reversible operation performed by a hypothetical insider observer, or, which is the same, a quantum measurement made in a quantum space background, like the fuzzy sphere. The result is that the non-contradiction and the excluded middle principles are both invalidated, leading to… (More)

- Paola Zizzi
- Entropy
- 2000

We interpret the Holographic Conjecture in terms of quantum bits (qubits). N-qubit states are associated with surfaces that are punctured in N points by spin networks' edges labelled by the spin-2 1 representation of) 2 (SU , which are in a superposed quantum state of spin "up" and spin "down". The formalism is applied in particular to de Sitter horizons ,… (More)

- Paola A. Zizzi
- 2005

We assume that space-time at the Planck scale is discrete, quantised in Planck units and "qubitsed" (each pixel of Planck area encodes one qubit), that is, quantum space-time can be viewed as a quantum computer. Within this model, one finds that quantum space-time itself is entangled, and can quantum-evaluate Boolean functions which are the laws of Physics… (More)

- Giulia Battilotti, Paola Zizzi
- ArXiv
- 2004

We investigate the internal logic of a quantum computer with two qubits, in the two particular cases of non-entanglement (separable states) and maximal entanglement (Bell's states). To this aim, we consider an internal (reversible) measurement which preserves the probabilities by mirroring the states. We then obtain logical judgements for both cases of… (More)

- Paola Zizzi
- 2008

We consider the issue of computability at the most fundamental level of physical reality: the Planck scale. To this aim, we consider the theoretical model of a quantum computer on a non commutative space background, which is a computational model for quantum gravity. In this domain, all computable functions are the laws of physics in their most primordial… (More)

- Paola Zizzi
- ArXiv
- 2007

We show that self-referentiality can be formalized in Basic logic by means of a new connective: @, called "entanglement". In fact, the property of non-idempotence of the connective @ is a metatheorem, which states that a self-referential sentence loses its own identity. This prevents having self-referential paradoxes in the corresponding metalanguage. 1.… (More)

- Paola Zizzi
- ArXiv
- 2005

We show that any unitary transformation performed on the quantum state of a closed quantum system describes an inner, reversible, generalized quantum measurement. We also show that under some specific conditions it is possible to perform a unitary transformation on the state of the closed quantum system by means of a collection of generalized measurement… (More)