Quantum Magic Bullets via Entanglement

Abstract

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 one. This phenomenon is investigated in terms of the original EPR state, and experimental realizations are suggested in terms of entangled photon states.