3 problems
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Translation invariance of arbitrary product measures along the real axis
Translation-invariance conjecture. For every ,
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Translation-invariant symmetric pseudorandom unitaries from subexponential LWE hardness
Translation-invariant symmetric PRU conjectural construction. Under the conjecture that no subexponential-time quantum algorithm can solve LWE, one-dimensional translation-invarian…
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Haldane's conjecture on translation invariant symmetric polynomials
Let be a symmetric polynomial in variables. Write each symmetrized monomial as a multiset , and order symmetrized monomials by squeezing: when c…