Generation of Multi-atom Entangled States via the Raman Atom-Cavity-Field Interaction

A scheme is presented for preparing multi-atom entangled states based on the Raman atom-cavity-field interaction.After several degenerate Λ-type three-level atoms interact with an appropriately prepared single-mode cavity field through Raman coupling,a two-level atom,resonant with the cavity,is sent through the cavity and a Ramsey zone.The detection of the two-level atom leaves the Λ-type atoms in an entangled state.

Scheme for Entangling Two Distant Cavity Mirrors

A scheme is presented for the generation of entangled states for two cavity mirrors. In the scheme each mirror initially in a vacuum state interacts with a weak coherent field, resulting in a photon-number dependent kick. The detection of a photon leaking from the cavities collapses the two mirrors to an entangled state.

Realization of Nonclassical States and Two-Mode Coupling in the Motion of Two Trapped Ions

We propose a scheme to generate various nonclassical vibrational states in the collective motion of twotrapped ions, such as squeezed states, Schrodinger cat states, and SU(2) states. It is based on Raman-type excitations.Two-mode coupling between the center-of-mass and relative vibrational modes can also be realized.

Test of Nonlocality with an Atom-Field Entangled State

We propose a scheme for the test of nonlocality with atom-field entanglement. An atom is sent through a cavity filled with a coherent field with a small amplitude. The dispersive interaction leads to atom-field entanglement.Then the field is driven by a classical current. The Bell inequality can be tested by the joint measurement of the parity of the field and the atomic state.

Simplified Scheme for Test of Quantum Nonlocality Without Using Bell Inequality

A simplified scheme is proposed for the test of quantum nonlocality of the type described by Hardy [Phys.Rev.Left.71 (1993) 1665].In the scheme two appropriately prepared atoms are simultaneously sent through a cavity and dispersively interact with the cavity field.Then state-selective measurements are performed on these atoms,which may reveal quantum nonlocality without using Bell inequality.We also propose a simple scheme for the generation of multi-atom entangled states.

Generation of SU(2)Coherent States for a Cavity Mode and a Collective Atomic Mode

We propose a scheme for generation of SU（2） coherent states for an atomic ensemble and a cavity mode. In the scheme a collection of two-level atoms resonantly interact with a single-mode quantized field. Under certain conditions, the system can evolve from a Fock state to a highly entangled SU（2） coherent state. The operation speed increases as the number of atoms increases, which is important in view of deeoherence.

Efficient Scheme for Entangling Two Distant Atoms

A scheme is presented for the generation of entangled states for two atoms trapped in two distant cavities. In the scheme each atom is resonantly coupled with the respective cavity mode and driven by a strong classical field. The detection of a photon decaying from the cavities and passing through a beam-splitter collapses the atoms to an entangled state. The required atom-field interaction time is very short and thus the decoherence effect is suppressed. Our scheme is within the reach of presently available cavity QED techniques.

Entanglement and Phase-Covariant Cloning for Multiple Trapped Ions via Adiabatic Passage

We describe a scheme for the generation of W states and implementation of phase-covariant cloning for n trapped ions. The scheme does not use the vibational mode as the memory and works beyond the Lamb-Dicke regime. The procedure is robust against moderate fluctuations of experimental parameters by using adiabatic passage.

Engineering Multi-atom Entangled States via Cavity Decay

A scheme is proposed for the generation of entangled states for multiple atoms trapped in a cavity by detecting photon decay. The scheme is valid no matter when the effective atom-cavity coupling strength is larger than the cavity decay rate or not, which is of importance in view of experiment. The fidelity of entanglement is insensitive to the inefticiency of the photo-detector. The scheme does not require a photon to be initially injected into the cavity.

Quantum Discrete Fourier Transform in an Ion Trap System

We propose two schemes for the implementation of quantum discrete Fourier transform in the ion trap systern. In each scheme we design a tunable two-qubit phase gate as the main ingredient. The experimental implementation of the schemes would be an important step toward complex quantum computation in the ion trap system.

High-Speed Generation of Entangled States for Two Three-Level Atoms

A scheme is presented for generating entangled states for two three-level atoms in a cavity. In the scheme two atoms simultaneously interact with a cavity mode with a small detuning. Thus, the operation time is very short, which is important in view of decoherence.

Robust Scheme for Long-Distance Teleportation of an Unknown Atomic State

A scheme is presented for the long-distance teleportation of an unknown atomic state between two separated cavities. The scheme is based on the Raman coupling and cavity decay. In the scheme, the effective atom-cavity coupling strength is much smaller than the cavity decay rate and thus cavities of high quality factor are unnecesssary.

Efficient Scheme for Dense Coding in Cavity QED and Ion Trap Systems

We propose a scheme for realizing dense coding in cavity QED. The scheme is based on the resonant interaction of two atoms with a cavity mode. The scheme may be realizable with presently available techniques in the microwave cavity QED setup. The idea can also be generalized to the ion trap system.

Production of Entanglement of Multiple Three-Level Atoms with a Two-Mode Cavity

A scheme is proposed for generating maximally entangled states for two or more three-level atoms. In the scheme the atoms are sent through a two-mode cavity one by one and interact with the two-cavity modes sequentially. The required experimental techniques are within the scope of what can be obtained in the microwave cavity QED setup.

Quantum Phase Gates for Trapped Ions via Adiabatic Passage

We propose a scheme to produce quantum phase gates for trapped ions. Taking advantage of the adiabatic evolution, the operation is insensitive to small fluctuations of experimental parameters. Furthermore, the spontaneous emission is suppressed since the ions have no probability of being populated in the electronic excited states.

Teleportation of a Superposition of Three Orthogonal States of an Atom via Photon Interference

We propose a scheme to teleport a superposition of three states of an atom trapped in a cavity to a second atom trapped in a remote cavity. The scheme is based on the detection of photons leaking from the cavities after the atom-cavity interaction.

Generation of Superpositions of Two-Mode Coherent States for the Motion of Two Trapped Ions

We propose a method for the generation of superpositions of two-mode coherent states for the center-of-mass and relative vibrational modes of two trapped ions. In the scheme the ions are driven by a single travelling-wave laser field tuned to the carrier. Then a measurement of the internal states collapses the vibrational modes to the entangled coherent state.

Quantum State Engineering by Superpositions of Coherent States along a Straight Line in Cavity Quantum Electrodynamics

A scheme is proposed for generating the superpositions of several coherent states in a cavity field with dispersive cavity quantum electrodynamics(QED).In the scheme,a sequence of atoms interact dispersively with the cavity field,connected with a microwave source,and is manipulated by classical fields,followed by state-selective measurements.In this way,the cavity field is collapsed onto a superposition of several coherent states along a straight line with controllable coefficients.This scheme provides the possibility for quantum state engineering via coherent-state superpositions in cavity QED for the first time.

Test of the Symmetrization Postulate for Phonons in an Ion Trap

We propose a scheme for testing the symmetrization postulate(SP)for phonons in an ion trap,In the scheme a two-level ion is trapped in a harmonic potential and driven by a laser beam tuned to the carrier.The violation of the SP is manifested by the probability that the ion makes a transition from the ground state to the excited state after an appropriate interaction time.

Realization of Quantum Logic Gates in Ion Traps Without Any Requirement on the Lamb-Dicke Parameter

A scheme is presented for realizing quantum logic gate in an ion trap.In the scheme the state of the mth ion is Grst replicated onto the collective motion.Then a transformation,conditional on the motional state,is performed on the nth ion.Finally the motional state is replicated back onto the mth ion.By this way the quantum logic gate between the mth and the nth ions is realized.The scheme does not put any requirement on the Lamb-Dicke parameter.