Entanglement generation and Hamiltonian simulation in Continuous-Variable Systems

Details Entanglement generation and Hamiltonian simulation in Continuous-Variable Systems Entanglement generation and Hamiltonian simulation in Continuous-Variable Systems

2002-10-18

arxiv.org/abs/quant-ph/0210136v2

PRA 67, 042314 (2003)

Physics

Quantum Physics

14 pages, 1 figure; v2: general improvements (some proofs generalized, typos corrected, 2 figures added)

Scientific paper

10.1103/PhysRevA.67.042314

Several recent experiments have demonstrated the promise of atomic ensembles for quantum teleportation and quantum memory. In these cases the collective internal state of the atoms is well described by continuous variables $X_1, P_1$ and the interaction with the optical field ($X_2, P_2$) by a quadratic Hamiltonian $X_1X_2$. We show how this interaction can be used optimally to create entanglement and squeezing. We derive conditions for the efficient simulation of quadratic Hamiltonians and the engineering of all Gaussian operations and states.

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