Classical analogue of quantum superdense coding and communication advantage of a single quantum

Patra, Ram Krishna; Naik, Sahil Gopalkrishna; Lobo, Edwin Peter; Sen, Samrat; Guha, Tamal; Bhattacharya, Some Sankar; Alimuddin, Mir; Banik, Manik

doi:10.48550/arxiv.2202.06796

Cited by 4 publications

(3 citation statements)

References 89 publications

(165 reference statements)

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“…When ρ is a pure state, both results are true [38][39][40][41]. For instance, in [41], the authors present a game (four-cup & two-ball game) in the scenario C 2 (6,1,4) where the advantage brought by an entanglement-assistance ρ grows at least linearly w.r.t. ρ's violation of a CHSH inequality [42].…”

Section: Not All Entangled States Are Useful Resources For Classical ...mentioning

confidence: 98%

Interplays between classical and quantum entanglement-assisted communication scenarios

Vieira,

de Gois,

Pollyceno

et al. 2023

New J. Phys.

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Prepare-and-measure scenarios, in their many forms, can be seen as the basic building blocks of communication tasks. As such, they can be used to analyze a diversity of classical and quantum protocols — of which dense coding and random access codes are key examples — in a unified manner. In particular, the use of entanglement as a resource in prepare-and-measure scenarios have only recently started to be systematically investigated, and many crucial questions remain open. In this work, we explore such scenarios and provide answers to some seminal questions. More specifically, we show that, in scenarios where entanglement is a free resource, quantum messages are equivalent to classical ones with twice the capacity. We also prove that, in such scenarios, it is always advantageous for the parties to share entangled states of dimension greater than the transmitted message. Finally, we show that unsteerable states cannot provide advantages in classical communication tasks, thus proving that not all entangled states are useful resources in these scenarios.

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Section: Not All Entangled States Are Useful Resources For Classical ...mentioning

confidence: 98%

Interplays between classical and quantum entanglement-assisted communication scenarios

Vieira,

de Gois,

Pollyceno

et al. 2023

New J. Phys.

View full text Add to dashboard Cite

show abstract

“…Indeed, in [37][38][39][40]. Indeed, in [40], the authors present a game (4-cup & 2-ball game) in the scenario C 2 (6,1,4) where the advantage brought by an entanglement-assistance ρ grows at least linearly w.r.t. ρ's violation of a chsh inequality [41].…”

Section: B Advantage In Higher-dimensional Entanglement Assistance Fo...mentioning

confidence: 99%

Interplays between classical and quantum entanglement-assisted communication scenarios

Vieira¹,

Gois²,

Pollyceno³

et al. 2022

Preprint

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Prepare and measure scenarios, in their many forms, can be seen as basic building blocks of communication tasks. As such, they can be used to analyze a diversity of classical and quantum protocols -of which dense coding and random access codes are key examples -in a unified manner. In particular, the use of entanglement as a resource in prepare and measure scenarios have only recently started to be systematically investigated, and many crucial questions remain open. In this work, we explore such scenarios and provide answers to some seminal questions. More specifically, we show that, in scenarios where entanglement is a free resource, quantum messages are equivalent to classical ones with twice the capacity. We also prove that, in such scenarios, it is always advantageous for the parties to share entangled states of dimension greater than the transmitted message. Finally, we show that unsteerable states cannot provide advantages in classical communication tasks -tasks where classical messages are transmitted, -thus proving that not all entangled states are useful resources in these scenarios, and establishing an interesting link between quantum steering and nonclassicality in prepare and measure scenarios.

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“…Alternatively, one may consider the worst-case success probability, but then one must additionally distinguish between models with and without shared randomness [41][42][43].…”

mentioning

confidence: 99%

Adaptive Advantage in Entanglement-Assisted Communications

et al. 2022

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Entanglement is known to boost the efficiency of classical communication. In distributed computation, for instance, exploiting entanglement can reduce the number of communicated bits or increase the probability to obtain a correct answer. Entanglement-assisted classical communication protocols usually consist of two successive rounds: first, a Bell test round, in which the parties measure their local shares of the entangled state, and then a communication round, where they exchange classical messages. Here, we go beyond this standard approach and investigate adaptive uses of entanglement: we allow the receiver to wait for the arrival of the sender's message before measuring their share of the entangled state. We first show that such adaptive protocols improve the success probability in random access codes. Second, we show that once adaptive measurements are used, an entanglement-assisted bit becomes a strictly stronger resource than a qubit in prepare-and-measure scenarios. We briefly discuss the extension of these ideas to scenarios involving quantum communication and we identify resource inequalities.

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Classical analogue of quantum superdense coding and communication advantage of a single quantum

Cited by 4 publications

References 89 publications

Interplays between classical and quantum entanglement-assisted communication scenarios

Interplays between classical and quantum entanglement-assisted communication scenarios

Interplays between classical and quantum entanglement-assisted communication scenarios

Adaptive Advantage in Entanglement-Assisted Communications

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