Preparation of arbitrary entangled quantum states of a trapped ion

Engineering arbitrary motional ionic states through realistic intensity-fluctuating laser pulses

“…As in the cavity QED context, instead of requiring N laser pulses to generate an arbitrary motional state with a maximum number of phonons equal to N [10], our technique utilizes…”

“…The situation is analogous to the present proposal for creating motional ionic states. Instead of requiring N steps to generate an arbitrary motional state with a maximum number of phonons equal to N [10], our technique utilizes just M steps, as in the cavity QED context. We stress that in the present work we elaborate the engineering process of the vibrational ionic state in the realistic presence of noise.…”

“…Starting from the vacuum state as in Ref. [9], Kneer and Law [10] proposed a scheme for generating a general quantum entanglement of the electronic and vibrational states of a trapped ion, besides discussing the engineering of two vibrational degrees of freedom of a single trapped ion. Drobný et al…”

“…The preparation of quantum states constitute a crucial step towards testing fundamentals of quantum mechanics, such as nonlocality and decoherence [1], and to the development of devices such as logic gates for implementing quantum computation [2]. Theoretical schemes have been put forward for engineering arbitrary states of the radiation field, both trapped in high-Q cavities [3][4][5][6] and as a travelling wave [7,8], besides electronic and vibrational states of trapped ions [9][10][11][12][13].…”

de Broglie wave-front engineering

“…Initial theoretical suggestions [1][2][3][4] for the preparation of a pre-chosen quantum state of a cavity field were based on the so-called conditional measurement method, where the target state is reached after a "successful" sequence of quantum measurements, while the "unsuccessful" measurement events are discarded. In the schemes [7,8,10], applicable to both cavity light and external motion of a trapped ion, a two-level atom, coupled to the quantum field of interest as well as to a controllable external laser light, plays a role of a "bus", which transfers, in a prescribed way, population and coherence between the discrete eigenstates of the quantum field. Similar ideas were used to generate an arbitrary internal state of a multilevel atom [9].…”