Search results for "Universal set"

showing 2 items of 2 documents

Fast SWAP gate by adiabatic passage

2005

We present a process for the construction of a SWAP gate which does not require a composition of elementary gates from a universal set. We propose to employ direct techniques adapted to the preparation of this specific gate. The mechanism, based on adiabatic passage, constitutes a decoherence-free method in the sense that spontaneous emission and cavity damping are avoided.

PhysicsQuantum PhysicsQuantum decoherenceFOS: Physical sciencesUniversal setHardware_PERFORMANCEANDRELIABILITYTopologyAtomic and Molecular Physics and OpticsQuantum circuitComputer Science::Hardware ArchitectureQuantum gateComputer Science::Emerging Technologies[ PHYS.PHYS.PHYS-AO-PH ] Physics [physics]/Physics [physics]/Atmospheric and Oceanic Physics [physics.ao-ph]Controlled NOT gateQuantum mechanicsHardware_INTEGRATEDCIRCUITSSpontaneous emissionQuantum Physics (quant-ph)Adiabatic processQuantum computerHardware_LOGICDESIGN
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MATHEMATICS AS A QUASI-EMPIRICAL SCIENCE

2006

The present paper aims at showing that there are times when set theoretical knowledge increases in a non-cumulative way. In other words, what we call ‘set theory’ is not one theory which grows by simple addition of a theorem after the other, but a finite sequence of theories T1, ..., T n in which Ti+1, for 1 ≤ i < n, supersedes T i . This thesis has a great philosophical significance because it implies that there is a sense in which mathematical theories, like the theories belonging to the empirical sciences, are fallible and that, consequently, mathematical knowledge has a quasi-empirical nature. The way I have chosen to provide evidence in favour of the correctness of the main thesis of t…

Set (abstract data type)Philosophy of mathematicsPhilosophy of scienceMultidisciplinaryCorrectnessHistory and Philosophy of ScienceSimple (abstract algebra)Universal setSet theoryNaive set theoryquasi-empiricism and mathematics Lakatos mathematical research programmes Cantor-Zermelo set theory philosophy of mathematics mathematical knowledgeMathematicsEpistemology
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