Fundamental Limits of Bosonic Broadcast Channels

Anderson, Evan J.D.; Guha, Saikat; Bash, Boulat A.

doi:10.1109/isit45174.2021.9518198

Cited by 5 publications

(3 citation statements)

References 26 publications

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“…It additionally allows for the investigation of capacity bounds when asymptotically large and small mean photon number at the transmitters are employed. The inclusion of thermal noise and understanding the limit of low signal power are essential in performing covert communication analysis where an adversary is unable to distinguish between a signal from the transmitter(s) and background noise [9]- [11], [30]- [33]. In evaluating the asymptotic limits of high and low mean photon number at the inputs, we find that coherent states are capacity-achieving (Lemmas 1 and 2, respectively).…”

Section: Introductionmentioning

confidence: 94%

“…where the maximization over r B in the inner limit as nB → ∞ puts all the energy available to Bob into squeezing, that is, optimal r B → −∞. This contrasts the pure-loss channel result in [13], [14] where (33) evaluates to unity. Lemma 2: In the limit of small photon number and constant thermal noise, utilizing a random code with coherent-state encoding at Alice and Bob and a joint detection receiver at Charlie achieves the capacity of the thermal-noise lossy bosonic MAC.…”

Section: B Asymptotics Of Photon-number Constraintsmentioning

confidence: 99%

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Fundamental Limits of Thermal-noise Lossy Bosonic Multiple Access Channel

Anderson¹,

Bash²

2022

Preprint

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Bosonic channels describe quantum-mechanically many practical communication links such as optical, microwave, and radiofrequency. We investigate the maximum rates for the bosonic multiple access channel (MAC) in the presence of thermal noise added by the environment and when the transmitters utilize Gaussian state inputs. We develop an outer bound for the capacity region for the thermal-noise lossy bosonic MAC. We additionally find that the use of coherent states at the transmitters is capacity-achieving in the limits of high and low mean input photon numbers. Furthermore, we verify that coherent states are capacity-achieving for the sum rate of the channel. In the non-asymptotic regime, when a global mean photon-number constraint is imposed on the transmitters, coherent states are the optimal Gaussian state. Surprisingly however, the use of single-mode squeezed states can increase the capacity over that afforded by coherent state encoding when each transmitter is photon number constrained individually.

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Section: Introductionmentioning

confidence: 94%

Section: B Asymptotics Of Photon-number Constraintsmentioning

confidence: 99%

Fundamental Limits of Thermal-noise Lossy Bosonic Multiple Access Channel

Anderson¹,

Bash²

2022

Preprint

Self Cite

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“…For a single-mode bosonic broadcast channel, the channel input is an electromagnetic field mode with annihilation operator â, and the output is a pair of modes with annihilation operators b1 and b2 , corresponding to each receiver. Bosonic broadcast channels are considered in different settings in [56][57][58][59][60][61][62][63].…”

Section: Introductionmentioning

confidence: 99%

Identification Over Quantum Broadcast Channels

Pereg¹,

Johannes²,

Deppe³

2022

Preprint

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Identification over quantum broadcast channels is considered. As opposed to the information transmission task, the decoder only identifies whether a message of his choosing was sent or not. This relaxation allows for a doubleexponential code size. An achievable identification region is derived for a quantum broadcast channel, and full characterization for the class of classicalquantum broadcast channels. The results are demonstrated for a depolarizing broadcast channel. Furthermore, the identification capacity region of the single-mode pure-loss bosonic broadcast channel is obtained as a consequence. In contrast to the single-user case, the capacity region for identification can be significantly larger than for transmission.

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Identification over quantum broadcast channels

Rosenberger,

Deppe,

Pereg

2023

Quantum Inf Process

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Identification over quantum broadcast channels is considered. As opposed to the information transmission task, the decoder only identifies whether a message of his choosing was sent or not. This relaxation allows for a double-exponential code size. An achievable identification region is derived for a quantum broadcast channel, and a full characterization for the class of classical-quantum broadcast channels. The identification capacity region of the single-mode pure-loss bosonic broadcast channel is obtained as a consequence. Furthermore, the results are demonstrated for the quantum erasure broadcast channel, where our region is suboptimal, but improves on the best previously known bounds.

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Fundamental Limits of Bosonic Broadcast Channels

Cited by 5 publications

References 26 publications

Fundamental Limits of Thermal-noise Lossy Bosonic Multiple Access Channel

Fundamental Limits of Thermal-noise Lossy Bosonic Multiple Access Channel

Identification Over Quantum Broadcast Channels

Identification over quantum broadcast channels

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