A possible experimental scheme of the Garisto-Hardy disentanglement eraser based on a cavity QED system is presented. This scheme can be used for a delayed choice quantum eraser. It also allows us to acquire single-qubit control over teleportation of an arbitrary binary state. Complementarity lies at the heart of quantum mechanics [1]. A classic example is the Young's double-slit experiment in which a "particle" exhibits wavelike behavior by displaying interference if it goes through both slits. The interference disappears and a particlelike behavior is exhibited if the which-path information becomes available [2]. The question then is: What would happen if we erase the which-path information after the particle has passed through the slits? Would such a quantum eraser process restore the interference fringes? The answer is "yes" [3], and this has been verified experimentally [4,5]. This erasure and fringe retrieval can be achieved even after the atoms hit the screen [6].There is a close link between the notions of quantum eraser and entanglement. For example, in any setup for quantum eraser, the which-path information, and therefore the disappearance of the fringes, is achieved by entangling the state of the particle with another controlling qubit that contains the which-path information. One can, however, restore the fringes by erasing the which-path information contained in the controlling qubit.Garisto and Hardy [7] described an interesting new class of quantum erasers, called disentanglement eraser. These consist of at least three subsystems: A, B, and T. The AB subsystem is prepared in an entangled state,
͑1͒If the pieces of this entangled state are tagged with T, such that the state of the whole system is
͑2͒then the purity of the entanglement of the subsystem AB is lost as the state of the AB subsystem is described by the statistical mixture,However, if the tagged information is erased, then the entanglement of the AB subsystem is restored. In order to see this we define the superposition states of the tagged stateThe state of the combined ABT system (2) can then be rewritten asAn outcome ͉+ T ͘ for the tagged state therefore restores the original state (1) for the AB subsystem, whereas the outcomeA phase shift then restores the original state. Thus a measurement of tagging qubit restores the entangled state. This disentanglement eraser of Garisto and Hardy shows that "the entanglement of any two particles that do not interact (directly or indirectly), never disappears but rather is encoded in the ancilla of the system." An implementation of such eraser has been demonstrated in NMR systems [8].In this paper, we propose the usage of two high quality cavities to realize a new type of quantum eraser as proposed by Garisto and Hardy [7]. In our work, we use an auxiliary atom's passage through the first cavity to control the degree of entanglement between the two cavities. We further discuss how these changes can be studied by using a probe atom and post measurement on the auxiliary atom.We consider a system o...