Multipartite entanglement of three trapped ions in a cavity and W-state generation

Abstract

A scheme to generate three qubit maximally entangled W-states, using three trapped ions interacting with red sideband tuned single mode field of a high finesse cavity, is proposed. For the cavity field initially prepared in a number state, the probability of generating three ion W-state is calculated. By using the ion-cavity coupling strengths achieved in experimental realizations, the interaction time needed for W-state generation is found to be of the order of 10 µ sec. It is found that for a fixed number of photons in the cavity the nature of entanglement of ionic internal states can be manipulated by appropriate choice of initial state phonon number.The ionic qubits in W-like state are found to be entangled to cavity photons. Analytical expressions for global negativity and partial K−way negativities (K = 2 to 4) are obtained to study the evolution of entanglement distribution as a function of interaction parameter. Reversible entanglement exchange between different entanglement modes is observed. For specific values of interaction parameter, the three ions and photon-phonon system are found to have four partite entanglement, generated by 2−way and 3−way correlations. * Electronic address: shelly@uel.br

Transferring multipartite entanglement among different cavities

“…2). Finally, note that the condition ( 11) is automatically satisfied because of the conditions (3), ( 8), ( 9) and (15). Overall, all necessary conditions here can be readily met.…”

“…A W state can be used as a quantum channel for quantum key distribution [3], entangled-pairs teleportation [4], quantum teleportation [5] and so on. During the past years, many theoretical schemes have been proposed to generate the W state in many physical systems [6][7][8][9][10][11][12][13][14][15][16][17][18]. Moreover, the experimental demonstration of W states has been reported with up to eight trapped ions [19], four optical modes [20], three capacitively-coupled superconducting phase qubits [21], two superconducting phase qubits plus a resonant cavity [22], and atomic ensembles in four quantum memories [23].…”

N identical particles and one particle to entangle them all

“…Their entanglement is maximally robust against both noise and particle loss [6,11], which makes nonclassical effects stronger for W states than for GHZ states for large number of particles [12]. Furthermore, W states are central in quantum computation [13], secure quantum communication [14][15][16][17][18], teleportation [18][19][20], quantum heat engines [21] and quantum key distribution [22]. Designing and realizing [48][49][50][51][52][53][54][55] production schemes of this class of multipartite states has thus attracted great attention.…”

“…[quant-ph]22 Aug 2017 Ancilla mode-based scheme with N + 1 identical particles. N identical particles with pseudospin ↓ are equally split in two separated modes while the one with pseudospin ↑ is equally split into the modes Mi (i = 1, .…”

Generating multipartite entangled states of qubits distributed in different cavities

“…During the past years, many theoretical schemes for generating W states have been proposed. For examples, (i) schemes have been proposed to generate W states in trapped ions [6,7], atomic ensembles [8], Ising chains with nearest-neighbor coupling by global control [9], or photons on-chip multiport photonic lattices [10]; (ii) by using linear optical elements and photon detection, schemes have been proposed to generate W states of spatially-separated distant atoms [11] or photons [12]; (iii) by using parametric down conversion, schemes have been presented to generate W states of photons [13]; and (iv) based on cavity QED, how to prepare W states has been proposed in quantum dots coupled to a cavity [14], superconducting qubits embedded within a single cavity [15,16], or atoms interacting with a cavity [17,18]. On the other hand, the W states have been experimentally created with up to eight trapped ions [19], four optical modes [20], three superconducting phase qubits coupled capacitively [21], and atomic ensembles in four quantum memories [22], as well as two superconducting phase qubits plus a resonant cavity [23].…”