Incoherent on-off keying with classical and non-classical light

Jarzyna, Marcin; Kuszaj, Piotr; Banaszek, Konrad

doi:10.1364/oe.23.003170

Cited by 21 publications

(34 citation statements)

References 19 publications

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“…This means that C loss = ∞ and PIE is unbounded. This is consistent with previous results [5,36,37] and with the ordinary capacity of the lossy channel in particular [10,11]. In this case it is also easy to find a measurement scheme that saturates the bound.…”

Section: Classical Capacity Per Unit Cost For Gaussian Channelssupporting

confidence: 92%

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Classical capacity per unit cost for quantum channels

Jarzyna

2017

Phys. Rev. A

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In most communication scenarios, sending a symbol encoded in a quantum state requires spending resources such as energy, which can be quantified by a cost of communication. A standard approach in this context is to quantify the performance of communication protocol by classical capacity, quantifying the maximal amount of information that can be transmitted through a quantum channel per single use of the channel. However, different figures of merit are also possible, and a particularly well-suited one is the classical capacity per unit cost, which quantifies the maximal amount of information that can be transmitted per unit cost. I generalize this concept to account for the quantum nature of the information carriers and communication channels and show that if there exists a state with cost equal to zero, e.g. a vacuum state, the capacity per unit cost can be expressed by a simple formula containing maximization of the relative entropy between two quantum states. This enables me to analyze the behavior of photon information efficiency for general communication tasks and show simple bounds on the capacity per unit cost in terms of quantities familiar from quantum estimation theory. I calculate also the capacity per unit cost for general Gaussian quantum channels.

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Section: Classical Capacity Per Unit Cost For Gaussian Channelssupporting

confidence: 92%

“…In this case it is also easy to find a measurement scheme that saturates the bound. Since the second state has different support than the vacuum state it is sufficient to perform simple photodetection in order to obtain arbitrarily large PIE [5,36].…”

Section: Classical Capacity Per Unit Cost For Gaussian Channelsmentioning

confidence: 99%

Classical capacity per unit cost for quantum channels

Jarzyna

2017

Phys. Rev. A

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“…It is known that in the noiseless scenario the PIE grows unlimited with the diminishing signal power provided that the PPM frames can be arbitrarily long. 4,5 In the presence of noise, Fig. 3(a) shows that for a given noise power n b such growth can be observed for signal powers n a n b .…”

Section: Efficiency Limitsmentioning

confidence: 94%

“…The analysis includes counts generated by background noise assuming an arbitrary relation between the signal and the noise power, which goes beyond previously obtained results for noiseless or moderate-noise scenarios. [3][4][5][6] Optimization is carried out with respect to the length of the PPM frame. Two statistical models for background counts motivated by different physical photodetection setups are considered.…”

Section: Introductionmentioning

confidence: 99%

Optimizing deep-space optical communication under power constraints

Jarzyna

Zwoliński

Jachura

et al. 2018

Free-Space Laser Communication and Atmospheric Propagation XXX

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We investigate theoretically the efficiency of deep-space optical communication in the presence of background noise. With decreasing average signal power spectral density, a scaling gap opens up between optimized simpledecoded pulse position modulation and generalized on-off keying with direct detection. The scaling of the latter follows the quantum mechanical capacity of an optical channel with additive Gaussian noise. Efficient communication is found to require a highly imbalanced distribution of instantaneous signal power. This condition can be alleviated through the use of structured receivers which exploit optical interference over multiple time bins to concentrate the signal power before the detection stage.

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“…It should be kept in mind that the limiting value of PIE is attained when¯ Mn 1 and terms of the order (¯) Mn 2 and higher can be neglected when calculating the photocount probability. When selecting the communication protocol for a givenn it may be optimal to choose a finite M [56].…”

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confidence: 99%

Low-cost limit of classical communication with restricted quantum measurements

et al. 2020

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We consider a communication scenario where classical information is encoded in an ensemble of quantum states that admit a power series expansion in a cost parameter and converge to a single zero cost state with vanishing cost. For a given measurement scheme, we derive an approximate expression for mutual information in the leading order of the cost parameter. The general results are applied to selected problems in optical communication, where coherent states of light are used as input symbols and the cost is quantified as the average number of photons per symbol. We show that for an arbitrary individual measurement on phase shift keyed (PSK) symbols, the photon information efficiency is upper bounded by 2 nats of information per photon in the low-cost limit, which coincides with the conventional homodyne detection bound. The presented low-cost approximation facilitates a systematic analysis of few-symbol measurements that exhibit superadditivity of accessible information. For the binary PSK alphabet of coherent states, we present designs for two-and three-symbol measurement schemes based on linear optics, homodyning, and single photon detection that offer respectively 2.49% and 3.40% enhancement relative to individual measurements. We also show how designs for scalable superadditive measurement schemes emerge from the introduced low-cost formalism. OPEN ACCESS RECEIVED

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Incoherent on-off keying with classical and non-classical light

Cited by 21 publications

References 19 publications

Classical capacity per unit cost for quantum channels

Classical capacity per unit cost for quantum channels

Optimizing deep-space optical communication under power constraints

Low-cost limit of classical communication with restricted quantum measurements

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