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Robust Quantum Gate Complexity: Foundations
Johannes Aspman, Vyacheslav Kungurtsev, Jakub Marecek
Optimal control of closed quantum systems is a well studied geometrically elegant set of computational theory and techniques that have proven pivotal in the implementation and unde…
Spectral Methods for Quantum Optimal Control: Artificial Boundary Conditions
Ales Wodecki, Jakub Marecek, Vyacheslav Kungurtsev +3
The problem of quantum state preparation is one of the main challenges in achieving the quantum advantage. Furthermore, classically, for multi-level problems, our ability to solve…
Learning quantum Hamiltonians at any temperature in polynomial time with Chebyshev and bit complexity
Ales Wodecki, Jakub Marecek
We consider the problem of learning local quantum Hamiltonians given copies of their Gibbs state at a known inverse temperature, following Haah et al. [2108.04842] and Bakshi et al…