Adiabatic entangling gate of Bose-Einstein condensates based on the minimum function

Ortiz, Sergi; Song, Yilun; Wu, June K.; Ivannikov, Valentin; Byrnes, Tim

doi:10.1103/physreva.98.043616

Cited by 9 publications

(6 citation statements)

References 42 publications

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“…The closest demonstration has been the observation of entanglement between spatially separate regions of a single cloud [21,22,47,48]. Numerical theoretical proposals for entanglement between BECs have been proposed, using a variety of techniques ranging from cavity QED [49][50][51][52][53], Rydberg excitations [54], state dependent forces [55], adiabatic transitions [51], and others [53,56,57]. Such entanglement is fundamental to performing various quantum information tasks based on atomic ensembles, such as quantum teleportation [58,59], remote state preparation and clock synchronization [60,61], and quantum computing [62,63].…”

Section: Introductionmentioning

confidence: 99%

Stroboscopic quantum nondemolition measurements for enhanced entanglement generation between atomic ensembles

Chaudhary,

Mao,

Kondappan

et al. 2021

Preprint

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We develop a measurement operator formalism to handle quantum nondemolition (QND) measurement induced entanglement generation between two atomic gases. We first derive how the QND entangling scheme reduces to a positive operator valued measure (POVM), and consider its limiting case when it is a projection operator that collapses the state to a total spin projection state. We then analyze how a stroboscopic sequence of such projections made in the x and z basis evolves the initial wavefunction. We show that for this projection sequence there exists a unique basis where the state evolution can be simplified. This allows one to derive the exact state evolution in a highly efficient manner. Our formalism does not use the Holstein-Primakoff approximation as is conventionally done, and treats the spins of the atomic gases in an exact way.

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Section: Introductionmentioning

confidence: 99%

Stroboscopic quantum nondemolition measurements for enhanced entanglement generation between atomic ensembles

Chaudhary,

Mao,

Kondappan

et al. 2021

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…A great majority of the studies regarding entanglement in atomic ensembles and BEC have been for single atomic ensembles. Recently there has been a growing interest in entanglement between two or more atomic ensembles or BECs [49][50][51][52][53][54][55]. The first experiments to demonstrate this in atomic ensembles were performed by the Polzik group, using two separated atomic ensembles interacting with a pulse of light performing a non-local Bell measurement on the collective spins.…”

Section: Introductionmentioning

confidence: 99%

“…However, entanglement has been shown between two spatial regions of the same BEC by generating squeezing and then performing local measurements on parts of the BEC [61][62][63]. Many BEC entangling schemes have been theoretically proposed using a variety of approaches such as cavity QED [64][65][66][67][68], state-dependent forces [69], Rydberg excitations [70], and splitting a single squeezed BEC [71,72]. In particular QND measurement based schemes are promising from the point of view that they have already been achieved in atomic ensembles [73][74][75][76][77][78][79].…”

Section: Introductionmentioning

confidence: 99%

Decoherence effects in quantum nondemolition measurement induced entanglement between Bose-Einstein condensates

Gao,

Ilo-Okeke,

Mao

et al. 2021

Preprint

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We study the robustness of quantum nondemolition (QND) measurement induced entanglement between Bose-Einstein Condensates (BECs). We consider an experimental scheme where two BECs are placed in the paths of a Mach-Zehnder interferometer, and a QND interaction creates entanglement between coherent light and the atoms. We analyze the two dominant channels of decoherence, atomic dephasing and photon loss on the entangled states produced by this scheme. We calculate the effect of dephasing on the variance and expectation values of the spin operators, entanglement and correlation criteria. Our analysis does not use the Holstein-Primakoff approximation, and is capable of modelling long light-atom interaction times, producing non-Gaussian states beyond the two-mode squeezed states. In the presence of dephasing, the entangled states are robust in the macroscopic limit as long as the dimensionless interaction time is less than 1/ √ N , where N is the number of atoms in the BEC. For photon loss, the entangled states generated by long interaction times show a remarkable robustness that makes the scheme promising for various quantum information applications.

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“…Entanglement between two spatial regions of the same Bose-Einstein condensate (BEC) was reported simultaneously by three groups [35][36][37]. The generation of entanglement between two BECs has been investigated theoretically in numerous works [38][39][40][41][42][43], mainly focusing on the generation on an effective S z A S z B Hamiltonian, among others [44][45][46]. Such an interaction can be considered the two-ensemble version of the one-axis squeezed state, due to the similar form of the generating Hamiltonian.…”

Section: Introductionmentioning

confidence: 99%

Remote state preparation of two-component Bose-Einstein condensates

Chaudhary,

Fadel,

Ilo-Okeke

et al. 2020

Preprint

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A protocol for remote state preparation is proposed for spin ensembles, where the aim is to prepare a state with a given set of spin expectation values on a remote spin ensemble using entanglement, local spin rotations, and measurements in the Fock basis. The spin ensembles could be realized by thermal atomic ensembles or spinor Bose-Einstein condensates. The protocol works beyond the Holstein-Primakoff approximation, such that spin expectation values for the full Bloch sphere can be prepared. The main practical obstacle is the preparation of the maximally entangled state between the spin ensembles. To overcome this, we examine using states based on the two-axis twospin (2A2S) Hamiltonian in place of the maximally entangled state and examine its performance. We find that the version of the protocol with 2A2S squeezing well-approximates the maximally entangled state, such that spin averages can be remotely prepared. We evaluate the errors of using 2A2S squeezed states, and find that it decreases with the ensemble size. With post-selection, errors can be systematically decreased further.

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Adiabatic entangling gate of Bose-Einstein condensates based on the minimum function

Cited by 9 publications

References 42 publications

Stroboscopic quantum nondemolition measurements for enhanced entanglement generation between atomic ensembles

Stroboscopic quantum nondemolition measurements for enhanced entanglement generation between atomic ensembles

Decoherence effects in quantum nondemolition measurement induced entanglement between Bose-Einstein condensates

Remote state preparation of two-component Bose-Einstein condensates

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