The effect of double frequency oftrap fieldφ=U-V1 cosΩt-V2 cos 2Ωt in a Paul trap can be described exactly by using a function series expansion to solve the corresponding Mathieu equation.The stability regions of a...The effect of double frequency oftrap fieldφ=U-V1 cosΩt-V2 cos 2Ωt in a Paul trap can be described exactly by using a function series expansion to solve the corresponding Mathieu equation.The stability regions of a trapped ion are plotted and some meaningful physical results are shown.展开更多
Superpositional wave function oscillations for the implementation of quantum algorithms modify the desired interference required for the quantum computation. We propose a scheme with trapped ultracold ion-pairs being ...Superpositional wave function oscillations for the implementation of quantum algorithms modify the desired interference required for the quantum computation. We propose a scheme with trapped ultracold ion-pairs being qubits to diminish the detrimental effect of the wave function oscillations, which is applied to the two-qubit Grover's search. It can be also found that the qubits in our scheme are more robust against the decoherence caused by the environment, and the model is scalable.展开更多
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...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.展开更多
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 per...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.展开更多
We propose a scheme for the reconstruction of a cavity field state.In the scheme the cavity field is first displaced by a microwave source,and then couples with a three-level A-type atom in a Raman manner.After an app...We propose a scheme for the reconstruction of a cavity field state.In the scheme the cavity field is first displaced by a microwave source,and then couples with a three-level A-type atom in a Raman manner.After an appropriate interaction time the measurement of the difference between the probabilities of the atom being in two ground states directly yields the Wigner function for the field state.The scheme can be easily generalized to measure the Wigner function of an entangled state of two spatially separated single-mode cavities.展开更多
The Schrödinger equation of two ultracold ions confined in xy plane of the Penning trap is exactly solved and the analytical form of the wave function of the system is obtained.A numerical calculation for a conti...The Schrödinger equation of two ultracold ions confined in xy plane of the Penning trap is exactly solved and the analytical form of the wave function of the system is obtained.A numerical calculation for a continued fraction presents the relation among the beigenenergies,the Coulomb interaction and the azimuthal number.展开更多
Taking two identical ions in a Paul trap,we solved the SchrÖdinger equation for one-,two-,and three-dimensional harmonically bound two-body Coulomb models,in which the eigenfunctions are written in a series form ...Taking two identical ions in a Paul trap,we solved the SchrÖdinger equation for one-,two-,and three-dimensional harmonically bound two-body Coulomb models,in which the eigenfunctions are written in a series form and the eigenenergies are obtained from a continued fraction.Numerical calculations are made for specific discussion of two-and three-dimensional case.The comparison with a former one-dimensional approximate work shows that our result is more general and accurate.展开更多
Variations of the hysteresis of the rf detection signals corresponding to the axial motion of an ion cloud in a Paul trap versus the detection voltage,operation parameters and number of ions have been observed.The fea...Variations of the hysteresis of the rf detection signals corresponding to the axial motion of an ion cloud in a Paul trap versus the detection voltage,operation parameters and number of ions have been observed.The features are explained by an extended pseudopotential model with an octupole potential correction and an effective potential from the ion cloud.展开更多
A scheme of teleportation of two unknown quantum states via quantum computation is proposed.The comparison with the former proposals shows that our scheme is more in tune with the original teleportation proposal and t...A scheme of teleportation of two unknown quantum states via quantum computation is proposed.The comparison with the former proposals shows that our scheme is more in tune with the original teleportation proposal and the efficiency is higher.The teleportation of an unknown entangled state is also discussed.展开更多
基金The project supported by National Natural Science Foundation of China under Grant Nos 19904013 and 1904014
文摘The effect of double frequency oftrap fieldφ=U-V1 cosΩt-V2 cos 2Ωt in a Paul trap can be described exactly by using a function series expansion to solve the corresponding Mathieu equation.The stability regions of a trapped ion are plotted and some meaningful physical results are shown.
基金Supported by the National Natural Science Foundation of China under Grant No.19904013.
文摘Superpositional wave function oscillations for the implementation of quantum algorithms modify the desired interference required for the quantum computation. We propose a scheme with trapped ultracold ion-pairs being qubits to diminish the detrimental effect of the wave function oscillations, which is applied to the two-qubit Grover's search. It can be also found that the qubits in our scheme are more robust against the decoherence caused by the environment, and the model is scalable.
基金Supported by the National Natural Science Foundation of China under Grant Nos.19734060 and 19604013.
文摘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.
基金Supported by the National Natural Science Foundation of China under Grant No.19734060.
文摘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.
基金Supported by the National Natural Science Foundation of China under Grant Nos.19734060 and 19604013.
文摘We propose a scheme for the reconstruction of a cavity field state.In the scheme the cavity field is first displaced by a microwave source,and then couples with a three-level A-type atom in a Raman manner.After an appropriate interaction time the measurement of the difference between the probabilities of the atom being in two ground states directly yields the Wigner function for the field state.The scheme can be easily generalized to measure the Wigner function of an entangled state of two spatially separated single-mode cavities.
基金Supported by the National Natural Science Foundation of China under Grant No.19604013.
文摘The Schrödinger equation of two ultracold ions confined in xy plane of the Penning trap is exactly solved and the analytical form of the wave function of the system is obtained.A numerical calculation for a continued fraction presents the relation among the beigenenergies,the Coulomb interaction and the azimuthal number.
基金Supported by the National Natural Science Foundation of China under Grant No.19404004。
文摘Taking two identical ions in a Paul trap,we solved the SchrÖdinger equation for one-,two-,and three-dimensional harmonically bound two-body Coulomb models,in which the eigenfunctions are written in a series form and the eigenenergies are obtained from a continued fraction.Numerical calculations are made for specific discussion of two-and three-dimensional case.The comparison with a former one-dimensional approximate work shows that our result is more general and accurate.
基金Supported by the National Natural Science Foundation of China under Grant No.19674066.
文摘Variations of the hysteresis of the rf detection signals corresponding to the axial motion of an ion cloud in a Paul trap versus the detection voltage,operation parameters and number of ions have been observed.The features are explained by an extended pseudopotential model with an octupole potential correction and an effective potential from the ion cloud.
基金Supported partly by the National Natural Science Foundation of China under Grant No.19734060,and the special support for the fundamental research by National Commit tee of Science and Technology of China.
文摘A scheme of teleportation of two unknown quantum states via quantum computation is proposed.The comparison with the former proposals shows that our scheme is more in tune with the original teleportation proposal and the efficiency is higher.The teleportation of an unknown entangled state is also discussed.
