5 papers
Absence of poor local minima in matrix product states
Hao-Kai Zhang, Chenghong Zhu, Shuo Liu +2
Quantum circuits suffer from severe trainability issues: even shallow circuits are swamped with poor local minima. Yet matrix product states (MPS), which can be prepared by sequent…
Nonstabilizerness Mpemba Effects
Zhenyu Xiao, Hao-Kai Zhang, Shuo Liu
Quantum state preparation can be strikingly counterintuitive: the fastest route to a target state need not start from the apparently closest initial condition. We uncover such a qu…
Symmetry restoration and quantum Mpemba effect in many-body localization systems
Shuo Liu, Hao-Kai Zhang, Shuai Yin +2
Non-equilibrium dynamics of quantum many-body systems has attracted increasing attention owing to a variety of intriguing phenomena absent in equilibrium physics. A prominent examp…
Symmetry restoration and quantum Mpemba effect in symmetric random circuits
Shuo Liu, Hao-Kai Zhang, Shuai Yin +1
Entanglement asymmetry, which serves as a diagnostic tool for symmetry breaking and a proxy for thermalization, has recently been proposed and studied in the context of symmetry re…
Absence of barren plateaus in finite local-depth circuits with long-range entanglement
Hao-Kai Zhang, Shuo Liu, Shi-Xin Zhang
Ground state preparation is classically intractable for general Hamiltonians. On quantum devices, shallow parameterized circuits can be effectively trained to obtain short-range en…