4 research outputs found
Theoretical Setting of Inner Reversible Quantum Measurements
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 operators. In particular,
given a complete set of orthogonal projectors, it is possible to implement a
reversible quantum measurement that preserves the probabilities. In this
context, we introduce the concept of "Truth-Observable", which is the physical
counterpart of an inner logical truth.Comment: 11 pages. More concise, shortened version for submission to journal.
References adde
A Minimal Model for Quantum Gravity
We argue that the model of a quantum computer with N qubits on a quantum
space background, which is a fuzzy sphere with n=2^N elementary cells, can be
viewed as the minimal model for Quantum Gravity. In fact, it is discrete, has
no free parameters, is Lorentz invariant, naturally realizes the Holographic
Principle, and defines a subset of punctures of spin networks' edges of Loop
Quantum Gravity labelled by spins j=2^(N-1)-1/2. In this model, the discrete
area spectrum of the cells, which is not equally spaced, is given in units of
the minimal area of Loop Quantum Gravity (for j=1/2), and provides a discrete
emission spectrum for quantum black holes. When the black hole emits one string
of N bits encoded in one of the n cells, its horizon area decreases of an
amount equal to the area of one cell.Comment: 11 pages, 4 figures, Contributed paper at DICE 2004, 1-4 September
2004, Piombino, Italy minor changes, misprints correcte