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The Logic of Quantum Mechanics Derived from Classical General Relativity [PDF]

open access: yes, 1997
For the first time it is shown that the logic of quantum mechanics can be derived from Classical Physics. An orthomodular lattice of propositions, characteristic of quantum logic, is constructed for manifolds in Einstein's theory of general relativity. A
Hadley, Mark J.
core   +1 more source

Classical Logic and Quantum Logic with Multiple and Common Lattice Models

open access: yesAdvances in Mathematical Physics, 2016
We consider a proper propositional quantum logic and show that it has multiple disjoint lattice models, only one of which is an orthomodular lattice (algebra) underlying Hilbert (quantum) space.
Mladen Pavičić
doaj   +1 more source

Parametrical T-Gate for Joint Processing of Quantum and Classic Optoelectronic Signals

open access: yesJ, 2023
Unmanned network robotics is a new multidisciplinary field that involves many fields of computer networks, multi-agent systems, control theory, 5G and 6G Internet, computer security, and wireless quantum communications.
Alexey Y. Bykovsky, Nikolay A. Vasiliev
doaj   +1 more source

Quantum Fredkin and Toffoli gates on a versatile programmable silicon photonic chip

open access: yesnpj Quantum Information, 2022
Quantum logic gates are backbones of quantum information processing (QIP), wherein the typical three-qubit Fredkin and Toffoli gates are essential in quantum computation and communication.
Yuan Li   +8 more
doaj   +1 more source

A Logic for Quantum Register Measurements

open access: yesAxioms, 2019
We know that quantum logics are the most prominent logical systems associated to the lattices of closed Hilbert subspaces. However, what happen if, following a quantum computing perspective, we want to associate a logic to the process of quantum ...
Andrea Masini, Margherita Zorzi
doaj   +1 more source

Universal fault-tolerant quantum computing with stabilizer codes

open access: yesPhysical Review Research, 2022
The quantum logic gates used in the design of a quantum computer should be both universal, meaning arbitrary quantum computations can be performed, and fault-tolerant, meaning the gates keep errors from cascading out of control.
Paul Webster   +3 more
doaj   +1 more source

Connecting the free energy principle with quantum cognition

open access: yesFrontiers in Neurorobotics, 2022
It appears that the free energy minimization principle conflicts with quantum cognition since the former adheres to a restricted view based on experience while the latter allows deviations from such a restricted view.
Yukio-Pegio Gunji   +2 more
doaj   +1 more source

The Paraconsistent Logic of Quantum Superpositions [PDF]

open access: yes, 2013
Physical superpositions exist both in classical and in quantum physics. However, what is exactly meant by ‘superposition’ in each case is extremely different.
de Ronde, Christian   +2 more
core   +1 more source

Quantum-Inspired Uncertainty Quantification

open access: yesFrontiers in Computer Science, 2022
Reasonable quantification of uncertainty is a major issue of cognitive infocommunications, and logic is a backbone for successful communication. Here, an axiomatic approach to quantum logic, which highlights similarity to and differences to classical ...
Günther Wirsching
doaj   +1 more source

Speakable in quantum mechanics: babbling on [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2014
This paper consists of a short version of the derivation of the intuitionistic quantum logic L_QM (which was originally introduced by Caspers, Heunen, Landsman and Spitters).
Ronnie Hermens
doaj   +1 more source

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