Assessing the performance of quantum repeaters for all phase-insensitive Gaussian bosonic channels

Goodenough, Kenneth; Elkouss, David; Wehner, Stephanie

doi:10.1088/1367-2630/18/6/063005

Cited by 35 publications

(84 citation statements)

References 51 publications

(156 reference statements)

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“…Due to the fact that squashed entanglement is an upper bound on the rate at which secret key can be distilled from an isotropic state [CEH+07,Wil16], as well as the above protocols being particular protocols for secret key distillation, squashed entanglement is also an upper bound on the rate at which the secret key can be distilled in one-SDI and device-independent protocols. However, the upper bound on squashed entanglement of an isotropic state that we obtain after choosing the extension as given in [GEW16] is greater than the bound obtained on intrinsic steerability of the assemblage considered above. Therefore, we do not plot the squashedentanglement bounds in figure 3 or 4.…”

Section: Device-independent Protocolcontrasting

confidence: 54%

Fundamental limits on key rates in device-independent quantum key distribution

2020

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In this paper, we introduce intrinsic non-locality and quantum intrinsic non-locality as quantifiers for Bell non-locality, and we prove that they satisfy certain desirable properties such as faithfulness, convexity, and monotonicity under local operations and shared randomness. We then prove that intrinsic non-locality is an upper bound on the secret-key-agreement capacity of any deviceindependent protocol conducted using a device characterized by a correlation p, while quantum intrinsic non-locality is an upper bound on the same capacity for a correlation arising from an underlying quantum model. We also prove that intrinsic steerability is faithful, and it is an upper bound on the secret-key-agreement capacity of any one-sided-device-independent protocol conducted using a device characterized by an assemblager. Finally, we prove that quantum intrinsic non-locality is bounded from above by intrinsic steerability.

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Section: Device-independent Protocolcontrasting

confidence: 54%

Fundamental limits on key rates in device-independent quantum key distribution

2020

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“…We have just begun to grasp full implications of our bound (1): for instance, its tighter version for specific channels like Pirandola's one37 or with deriving a better bound52 for the squashed entanglement of the channel, its applications to the many-body quantum physics in any spacetime topology regarded as a quantum network1 and to a more complicated quantum communication channel network—such as a multi-party protocol with broadcasting channels535455—will be in a fair way to appear.…”

Section: Discussionmentioning

confidence: 99%

Fundamental rate-loss trade-off for the quantum internet

2016

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The quantum internet holds promise for achieving quantum communication—such as quantum teleportation and quantum key distribution (QKD)—freely between any clients all over the globe, as well as for the simulation of the evolution of quantum many-body systems. The most primitive function of the quantum internet is to provide quantum entanglement or a secret key to two points efficiently, by using intermediate nodes connected by optical channels with each other. Here we derive a fundamental rate-loss trade-off for a quantum internet protocol, by generalizing the Takeoka–Guha–Wilde bound to be applicable to any network topology. This trade-off has essentially no scaling gap with the quantum communication efficiencies of protocols known to be indispensable to long-distance quantum communication, such as intercity QKD and quantum repeaters. Our result—putting a practical but general limitation on the quantum internet—enables us to grasp the potential of the future quantum internet.

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“…[31], an independent study of the erasure channel has been provided by Ref. [64] which showed how its K can be computed from the squashed entanglement (see also Ref.…”

Section: Remarkmentioning

confidence: 99%

General bounds for sender-receiver capacities in multipoint quantum communications

Laurenza

Pirandola

2017

Phys. Rev. A

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We investigate the maximum rates for transmitting quantum information, distilling entanglement and distributing secret keys between a sender and a receiver in a multipoint communication scenario, with the assistance of unlimited two-way classical communication involving all parties. First we consider the case where a sender communicates with an arbitrary number of receivers, so called quantum broadcast channel. Here we also provide a simple analysis in the bosonic setting where we consider quantum broadcasting through a sequence of beamsplitters. Then, we consider the opposite case where an arbitrary number of senders communicate with a single receiver, so called quantum multiple-access channel. Finally, we study the general case of all-in-all quantum communication where an arbitrary number of senders communicate with an arbitrary number of receivers. Since our bounds are formulated for quantum systems of arbitrary dimension, they can be applied to many different physical scenarios involving multipoint quantum communication.

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Assessing the performance of quantum repeaters for all phase-insensitive Gaussian bosonic channels

Cited by 35 publications

References 51 publications

Fundamental limits on key rates in device-independent quantum key distribution

Fundamental limits on key rates in device-independent quantum key distribution

Fundamental rate-loss trade-off for the quantum internet

General bounds for sender-receiver capacities in multipoint quantum communications

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