MathDB4 problems
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Universality of the Hubbard–Stratonovich drift correction
Universality conjecture. For an arbitrary Hubbard–Stratonovich factorization of this form, the quantity is always given by the matrix displayed in equation (3.63) of the sourc…
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Efficiency conjecture for the loop algorithm from Swendsen–Wang to operator-loop QMC
The loop algorithm interpolates between the Swendsen–Wang algorithm for classical ferromagnetic Ising Hamiltonians and the operator-loop quantum Monte Carlo algorithm for stoquasti…
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Nodal-domain conjecture for interacting fermions
Let interacting spin- fermions have a spatial wave function, and consider its nodal set separating regions where the wave function has different signs. Nodal-domain c…
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Conjecture on short reorder intervals caused by multiple electron-nucleus swaps
Short-interval conjecture. Such shorter intervals occur when multiple particles are not relatively close to any orbital (nucleus), for example, when multiple pairs of electrons swa…