Quantum Computation and Logic by Maria Luisa Dalla Chiara & Roberto Giuntini & Roberto Leporini & Giuseppe Sergioli

Author:Maria Luisa Dalla Chiara & Roberto Giuntini & Roberto Leporini & Giuseppe Sergioli
Language: eng
Format: epub
ISBN: 9783030044718
Publisher: Springer International Publishing

and we will assume that and represent, respectively, the truth-values Truth and Falsity of the truth-perspective . The canonical truth-perspective is, of course, determined by the identity operator . We will indicate by the orthonormal basis determined by ; while will represent the canonical basis. From a physical point of view, we can suppose that each truth-perspective is associated to an apparatus that allows one to measure a given observable.

Any unitary operator of (representing a truth-perspective) can be naturally extended to a unitary operator of (for any ):

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