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Modern Physics Letters A, 1994 A quantum generalization of Rogers’ five-term, or “pentagon” dilogarithm identity is suggested. It is shown that the classical limit gives the usual Rogers’ identity. The case where the quantum identity is realized in finite-dimensional space is also considered and the quantum dilogarithm is constructed as a function on Fermat curve, while the ...
Faddeev, L. D., Kashaev, R. M.
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Quantum Computation Toward Quantum Gravity [PDF]
General Relativity and Gravitation, 2001 The aim of this paper is to enlight the emerging relevance of Quantum Information Theory in the field of Quantum Gravity. As it was suggested by J. A. Wheeler, information theory must play a relevant role in understanding the foundations of Quantum Mechanics (the "It from bit" proposal).
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New Journal of Physics, 2014 Topological invariants, such as the Chern number, characterize topological phases of matter. Here we provide a method to detect Chern numbers in systems with two distinct species of fermion, such as spins, orbitals or several atomic states.
James de Lisle +6 more
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Quantum computational advantage using photons [PDF]
Science, 2020 A light approach to quantum advantage Quantum computational advantage or supremacy is a long-anticipated milestone toward practical quantum computers. Recent work claimed to have reached this point, but subsequent work managed to speed up the classical ...
Han-Sen Zhong +23 more
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Optics Express, 2020 Quantum light generated in non-degenerate squeezers has many applications such as sub-shot-noise transmission measurements to maximise the information extracted by one photon or quantum illumination to increase the probability in target detection.
Stefan Frick, Alex McMillan, John Rarity
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The Effect of Quantum Learning Method on Students Course Learning [PDF]
Pizhūhish dar Āmūzish-i ̒ulūm-i Pizishkī, 2016 Introduction: Learning is an active and complicated process and Quantum Learning is an educational model that tries to provide complex educational theories through immediate, effective and consistent implementation in class.
NS Dadgaran, A Khalkhali
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A variational eigenvalue solver on a photonic quantum processor [PDF]
Nature Communications, 2013 Quantum computers promise to efficiently solve important problems that are intractable on a conventional computer. For quantum systems, where the physical dimension grows exponentially, finding the eigenvalues of certain operators is one such intractable
A. Peruzzo +7 more
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International Journal of Quantum Information, 2007 We present a quantum auction protocol using superpositions to represent bids and distributed search to identify the winner(s). Measuring the final quantum state gives the auction outcome while simultaneously destroying the superposition. Thus, non-winning bids are never revealed.
Hogg, Tad +2 more
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Quantum space, quantum time, and relativistic quantum mechanics [PDF]
Quantum Studies: Mathematics and Foundations, 2021 We treat space and time as bona fide quantum degrees of freedom on an equal footing in Hilbert space. Motivated by considerations in quantum gravity, we focus on a paradigm dealing with linear, first-order Hamiltonian and momentum constraints that lead to emergent features of temporal and spatial translations. Unlike the conventional treatment, we show
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