AbstractThis talk focuses on the simulation of fermionic systems on arbitrary graphs, including two-dimensional lattices. We start by examining the one-dimensional Jordan-Wigner transformation and its expansion to two-dimensional exact bosonization. This method is crucial for simulating fermions using emergent fermions in the ℤ2 toric code. We then discuss how fermionic observables and Pauli m...
Abstract：Entanglement detection is essential in quantum information science and quantum many-body physics. It has been proved that entanglement exists almost surely for a random quantum state, while the realizations of effective entanglement criteria usually consume exponential resources, and efficient criteria often perform poorly without prior knowledge. This fact implies a fundamental limit...
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