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2 days ago · It is a common view that von Neumann laid the foundations of a “non-commutative probability theory” with his axiomatization of quantum mechanics (QM). As such, it is regarded a generalization of the “classical probability theory” due to Kolmogorov. Outside of quantum physics, however, Kolmogorov’s axioms enjoy universal applicability.
1 day ago · Quantum Measurement - February 2024. To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account.
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2 days ago · Quantum decoherence is a mechanism through which quantum systems lose coherence, and thus become incapable of displaying many typically quantum effects: quantum superpositions become simply probabilistic mixtures, and quantum entanglement becomes simply classical correlations.
3 days ago · Perhaps the most popularized example of a quantum effect due to its extreme defiance of classical intuition, still on the atomic scale, is quantum tunneling. Classically, a particle bound in a potential (i.e., stuck in a box) at low energy is trapped there, unable to escape.
3 days ago · Sorkin-type examples of impossible measurements indicate that it is problematic to naïvely extend ideal measurement theory from NRQM within a minimal framework for relativistic quantum theory. From a practical point of view, this is distressing because measurement is obviously central to the use of the theory.
4 days ago · Quantum information theory is the key to unlocking the potential of quantum computers and revolutionizing our understanding of the universe. It’s the foundation for everything from quantum algorithms to quantum cryptography. But mastering quantum information theory can be a daunting task. It requires a deep understanding of complex concepts ...
2 days ago · Canonical commutation rule for position q and momentum p variables of a particle, 1927. pq − qp = h / (2 πi ). Uncertainty principle of Heisenberg, 1927. The uncertainty principle, also known as Heisenberg's indeterminacy principle, is a fundamental concept in quantum mechanics. It states that there is a limit to the precision with which ...
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