Universal effectiveness of high-depth circuits in variational eigenproblems
Joonho Kim, Jaedeok Kim, Dario Rosa
Abstract
This paper shows that generic high-depth variational circuits can approximate the ground state of any given one-dimensional quantum many-body Hamiltonian by carrying out the local gradient search of the circuit parameters.
Topics & Concepts
Maxima and minimaHamiltonian (control theory)Electronic circuitQuantumIsing modelEuclidean geometryQuantum circuitMathematicsTopology (electrical circuits)Transverse fieldStatistical physicsPhysicsQuantum mechanicsQuantum computerMathematical analysisGeometryMathematical optimizationQuantum networkCombinatoricsQuantum Computing Algorithms and ArchitectureQuantum many-body systemsQuantum Information and Cryptography