Theoretical Setting of Inner Reversible Quantum Measurements

Abstract

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.

11 pages. More concise, shortened version for submission to journal. References added

References in corpus (5)

• Computability at the Planck scale
• Logical Interpretation of a Reversible Measurement in Quantum Computing
• A Minimal Model for Quantum Gravity
• Loops and Knots as Topoi of Substance. Spinoza Revisited
• The internal logic of Bell's states

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