Two particles that are entangled with respect to continuous variables such as position and momentum exhibit a variety of nonclassical features. First, measurement of one particle projects the other particle into the state that is the complex conjugate of the state of the first particle; i.e., measurement of one particle projects the other particle into the time-reversed state. Second, continuous-variable entanglement can be used to implement a quantum magic bullet: When one particle manages to pass through a scattering potential, then, no matter how low the probability of this event, the second particle will also pass through a related scattering potential with probability 1. This phenomenon is investigated in terms of the original Einstein–Podolsky–Rosen state, and experimental realizations are suggested in terms of entangled photon states.
© 2002 Optical Society of America
(190.4970) Nonlinear optics : Parametric oscillators and amplifiers
(270.0270) Quantum optics : Quantum optics
(270.5290) Quantum optics : Photon statistics
(270.6570) Quantum optics : Squeezed states
Seth Lloyd, Jeffrey H. Shapiro, and Franco N. C. Wong, "Quantum magic bullets by means of entanglement," J. Opt. Soc. Am. B 19, 312-318 (2002)