Learning the Hamiltonian that describes interactions in a quantum system is an important task in both condensed-matter physics and the verification of quantum technologies. Its …
The eigenstate thermalization hypothesis (ETH) posits that the reduced density matrix for a subsystem corresponding to an excited eigenstate is “thermal.” Here we expound on this …
XL Qi, D Ranard - Quantum, 2019 - quantum-journal.org
We ask whether the knowledge of a single eigenstate of a local Hamiltonian is sufficient to uniquely determine the Hamiltonian. We present evidence that the answer is``yes" for …
Traditional computational methods for studying quantum many-body systems are “forward methods,” which take quantum models, ie, Hamiltonians, as input and produce ground …
Estimating physical properties of quantum states from measurements is one of the most fundamental tasks in quantum science. In this work, we identify conditions on states under …
We give a detailed physical argument for the area law for entanglement entropy in gapped phases of matter arising from local Hamiltonians. Our approach is based on renormalization …
A bstract Via the AdS/CFT correspondence, fundamental constraints on the entanglement structure of quantum systems translate to constraints on spacetime geometries that must be …
A bstract In the context of holographic duality with AdS 3 asymptotics, the Ryu-Takayanagi formula states that the entanglement entropy of a subregion is given by the length of a …
C Cao, SY Hou, N Cao, B Zeng - Journal of Physics: Condensed …, 2020 - iopscience.iop.org
Reconstructing a system Hamiltonian through measurements on its eigenstates is an important inverse problem in quantum physics. Recently, it was shown that generic many …