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Error bounds for constrained dynamics in gapped quantum systems: Rigorous results and generalizations
Zongping Gong, Nobuyuki Yoshioka, Naoyuki Shibata +1
In arXiv:2001.03419 we introduce a universal error bound for constrained unitary dynamics within a well-gapped energy band of an isolated quantum system. Here, we provide the full…
Universal Error Bound for Constrained Quantum Dynamics
Zongping Gong, Nobuyuki Yoshioka, Naoyuki Shibata +1
It is well known in quantum mechanics that a large energy gap between a Hilbert subspace of specific interest and the remainder of the spectrum can suppress transitions from the qu…
Variational Quantum Algorithm for Non-equilibrium Steady States
Nobuyuki Yoshioka, Yuya O. Nakagawa, Kosuke Mitarai +1
We propose a quantum-classical hybrid algorithm to simulate the non-equilibrium steady state of an open quantum many-body system, named the dissipative-system Variational Quantum E…