From Quantum Metalanguage to the Logic of Qubits

Details From Quantum Metalanguage to the Logic of Qubits From Quantum Metalanguage to the Logic of Qubits

2010-03-31

arxiv.org/abs/1003.5976v1

Physics

Quantum Physics

138 pages, PhD thesis in Mathematics

Scientific paper

The main aim of this thesis is to look for a logical deductive calculus (we will adopt sequent calculus, originally introduced in Gentzen, 1935), which could describe quantum information and its properties. More precisely, we intended to describe in logical terms the formation of the qubit (the unit of quantum information) which is a particular linear superposition of the two classical bits 0 and 1. To do so, we had to introduce the new connective "quantum superposition", in the logic of one qubit, Lq, as the classical conjunction cannot describe this quantum link.

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