Entanglement thresholds for displaying the quantum nature of teleportation

Roa, Luis; Gómez, R.; Muñoz, Ariana; Rai, Gautam; Hecker, Matthias

doi:10.1016/j.aop.2016.05.004

Cited by 6 publications

(4 citation statements)

References 59 publications

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“…Besides, we consider that the measuring-basis can consist of non-Bell states. Additionally, we propose the so called unambiguous state extraction (USE) protocol [39][40][41][42] as the mechanism for implementing the local operations.…”

Section: Introductionmentioning

confidence: 99%

“…IV we summarize the principal results. Additionally, we included the Appendix A where we show that the unambiguous state extraction (USE) protocol [39][40][41][42] can be locally applied to extract an EPR state with optimal probability. In particular, we introduce an explicit joint unitary transformation, which allows to accomplish the main aim, additionally finding the optimal probability of success as a function of the initial concurrence [43][44][45][46][47].…”

Section: Introductionmentioning

confidence: 99%

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Threshold effect for probabilistic entanglement swapping

Roa¹,

Purz²,

Muñoz³

et al. 2021

Preprint

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The basic entanglement swapping protocol allows to achieve the main aim of deterministically projecting two qubits, which have never interacted, onto a maximally entangled state. For deterministic swapping the key ingredient is the maximal entanglement initially contained in two pairs of qubits and the ability to measure onto a Bell basis. In other words, the basic and deterministic entanglement swapping scheme involves three maximal level of entanglement. In this work we address probabilistic entanglement swapping processes performed with different amounts of initial entanglement. Besides, we suggest a non Bell measuring-basis, thus we introduce a third entanglement level in the process. Additionally, we propose the unambiguous state extraction scheme as the local mechanism for probabilistically achieving the main aim. Amalgamating these three elements allows us to design four strategies for performing probabilistic entanglement swapping. Surprisingly, we encountered an twofold entanglement matching effect related to the concurrence of the measuring-basis. Specifically, the maximal probability of accomplishing the main aim becomes a constant for concurrences higher than or equal to the matching entanglement values. Thus, we show that maximal entanglement in the measuring-basis is not required for attaining the main aim with optimal probability.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Threshold effect for probabilistic entanglement swapping

Roa¹,

Purz²,

Muñoz³

et al. 2021

Preprint

Self Cite

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“…More general teleportation schemes considering these undesired aspects have been studied [9][10][11][12][13][14]. In particular, it has been found that the average fidelity of the deterministic teleportation becomes larger than 2/3 when the mixed state channel has non-classical features [13,[15][16][17]. Previous to apply the teleportation scheme, the mixed state channel can be manipulated via local filtering operations with the purpose of obtaining a state leading to the highest possible average teleportation fidelity, which has a Bell-diagonal normal form [16].…”

Section: Introductionmentioning

confidence: 99%

The joint measurement entanglement can significantly offset the effect of a noisy channel in teleportation

Roa¹,

Guevara²,

Soto-Moscoso³

et al. 2018

J. Phys. A: Math. Theor.

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In our work we consider the following problem in the context of teleportation: an unknown pure state has to be teleported and there are two laboratories which can perform the task. One laboratory uses a pure non-maximally entangled channel but has a capability of performing the joint measurement on bases with a constrained degree of entanglement; the other lab makes use of a mixed X-state channel but can perform a joint measurement on bases with higher entanglement degrees. We compare the average teleportation fidelity achieved in both cases, finding that the fidelity achieved with the X-state can surpass the obtained with a pure channel, even though the X-state is less entangled than the latter. We find the conditions under which this effect occurs. Our results evidence that the entanglement of the joint measurement plays a role as important as the entanglement of the channel in order to optimize the teleportation process. We include an example showing that the average fidelity of teleportation obtained with a Werner state channel can be greater than that obtained with a Bell state channel.

show abstract

Section: Introductionmentioning

confidence: 99%

A noisy channel less entangled than a pure can improve teleportation

Roa¹,

Guevara²,

Soto-Moscoso³

et al. 2017

Preprint

Self Cite

View full text Add to dashboard Cite

In our work we consider the following problem in the context of teleportation: an unknown pure state have to be teleported and there are two laboratories which can perform the task. One laboratory uses a pure non maximally entangled channel but has a capability of performing the joint measurement on bases with a constrained degree of entanglement; the other lab makes use of a mixed X-state channel but can perform a joint measurement on bases with higher entanglement degrees. We compare the average teleportation fidelity achieved in both cases, finding that the fidelity achieved with the X-state can surpass the obtained with a pure channel, even though the X-state is less entangled than the latter. We find the conditions under which this effect occurs. Our results evidence that the entanglement of the joint measurement plays a role as important as the entanglement of the channel in order to optimize the teleportation process. We include an example showing that the average fidelity of teleportation obtained with a Werner state channel can be grater than that obtained with a Bell state channel.

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Entanglement thresholds for displaying the quantum nature of teleportation

Cited by 6 publications

References 59 publications

Threshold effect for probabilistic entanglement swapping

Threshold effect for probabilistic entanglement swapping

The joint measurement entanglement can significantly offset the effect of a noisy channel in teleportation

A noisy channel less entangled than a pure can improve teleportation

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