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Enlargements of quantum logics [PDF]
Pacific Journal of Mathematics, 1988 Let K be a quantum logic whose state space is nonvoid. Let B be a Boolean algebra and let C be a compact convex subset of a locally convex topological linear space. Then K can be embedded into a logic L such that the centre of L equals B and the state space of L equals C.
Navara, Mirko +2 more
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Quantum Logic for Quantum Computers
International Journal of Theoretical Physics, 2000 The following results obtained within a project of finding algebra of states in a general purpose quantum computer are reported: 1. all operations of an orthomodular lattice, including the identity, are five-fold defined ; 2. there are non-orthomodular models for both quantum and classical logics ; 3.
Mladen Pavicic, Mladen Pavicic
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Classical Logic and Quantum Logic with Multiple and Common Lattice Models
Advances 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
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Quantum Fredkin and Toffoli gates on a versatile programmable silicon photonic chip
npj 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
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Parametrical T-Gate for Joint Processing of Quantum and Classic Optoelectronic Signals
J, 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
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Compositional Quantum Logic [PDF]
, 2013 Quantum logic aims to capture essential quantum mechanical structure in order-theoretic terms. The Achilles' heel of quantum logic is the absence of a canonical description of composite systems, given descriptions of their components. We introduce a framework in which order-theoretic structure comes with a primitive composition operation.
Coecke, B, Heunen, C, Kissinger, A
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A Logic for Quantum Register Measurements
Axioms, 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
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Universal fault-tolerant quantum computing with stabilizer codes
Physical 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
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Connecting the free energy principle with quantum cognition
Frontiers 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
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Classical Logic in the Quantum Context
Quantum Reports, 2020 It is generally accepted that quantum mechanics entails a revision of the classical propositional calculus as a consequence of its physical content. However, the universal claim according to which a new quantum logic is indispensable in order to model ...
Andrea Oldofredi
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