3 papers
math.AG2026
On quantum functionals for higher-order tensors
Alonso Botero, Matthias Christandl, Thomas C. Fraser +2
Upper and lower quantum functionals, introduced by Christandl, Vrana and Zuiddam (STOC 2018, J. Amer. Math. Soc. 2023), are families of monotone functions of tensors indexed by a w…
cs.CC2025
Discreteness of asymptotic tensor ranks
Jop Briët, Matthias Christandl, Itai Leigh +2
Tensor parameters that are amortized or regularized over large tensor powers, often called "asymptotic" tensor parameters, play a central role in several areas including algebraic…
quant-ph2024
Quantum Merlin-Arthur with an internally separable proof
Roozbeh Bassirian, Bill Fefferman, Itai Leigh +2
We find a modification to QMA where having one quantum proof is strictly less powerful than having two unentangled proofs, assuming EXP NEXP. This gives a new route to prove…