TY - GEN
AB - Quantum simulators are capable of calculating properties of quantum systems unfeasible for classical computers. Here we report the analog quantum simulation of arbitrary Heisenberg-type interactions among four spin-1/2 particles. This spin-1/2 tetramer is the two-dimensional archetype system whose ground state belongs to the class of valence-bond states. Depending on the interaction strength, frustration within the system emerges such that the ground state evolves from a localized to a resonating valence-bond state. This spin-1/2 tetramer is created using the polarization states of four photons. We utilize the particular advantages of the precise single-particle addressability and a tunable measurement-induced interaction to obtain fundamental insights into entanglement dynamics among individual particles. We also directly extract ground-state energies and pair-wise quantum correlations, which enable our quantum simulator to investigate the frustration of entanglement. Remarkably, the pair-wise correlations are restricted by quantum monogamy.
AU - Ma, X.
AU - Dakic, B.
AU - Naylor, W.
AU - Zeilinger, A.
AU - Walther, P.
DA - 2010/08/24/
PY - 2010
SE - 2010/08/24/
TI - Quantum simulation of a frustrated Heisenberg spin system
UR - http://arxiv.org/abs/1008.4116
ER -