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The Principles of Quantum Mechanics
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The article was published on 1930-01-01 and is currently open access. It has received 5991 citations till now. The article focuses on the topics: Quantum statistical mechanics & Open quantum system.read more
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Quantum-like model of subjective expected utility
TL;DR: The main aim of this paper is to analyze the mathematical structure of these processes in the most general situation: representation of lotteries by noncommuting operators.
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Inefficiency of classically simulating linear optical quantum computing with Fock-state inputs
Bryan T. Gard,Jonathan P. Olson,Robert M. Cross,Moochan B. Kim,Hwang Lee,Jonathan P. Dowling +5 more
TL;DR: Aaronson and Arkhipov as mentioned in this paper constructed the Hilbert space for a quantum-optical interferometer and showed that its dimension scales exponentially with all the physical resources, and compared the symmetry requirements of a multiparticle bosonic to fermionic interferometers and, using simple physical reasoning, connect the nonsimulatability of the bosonic device to the complexity of computing the permanent of a large matrix.
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Quantum motion on a torus as a submanifold problem in a generalized Dirac’s theory of second-class constraints
TL;DR: In this article, a generalization of Dirac's canonical quantization scheme for a system with second-class constraints is proposed, in which the fundamental commutation relations are constituted by all commutators between positions, momenta and Hamiltonian, so they are simultaneously quantized in a selfconsistent manner, rather than by those between merely positions and momenta which leads to ambiguous forms of the Hamiltonian and the momenta.
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On a generalized interference equation and interferometric measurements
TL;DR: In this article, a generalized interference equation derived using the Dirac formalism is applied to characterize interference and/or diffraction phenomena in either the near or the far field, and a comparison of numerical calculations with measurements illustrates the usefulness of the equation.
The Mechanistic and Normative Structure of Agency
TL;DR: In this paper, the authors develop an interdisciplinary framework for understanding the nature of agents and agency that is compatible with recent developments in the metaphysics of science and that also does justice to the mechanistic and normative characteristics of agents as they are understood in moral philosophy, social psychology, neuroscience, robotics, and economics.