Information transmission through lossy bosonic memory channels

Ruggeri, Giovanna; Soliani, G.; Giovannetti, Vittorio; Mancini, Stefano

doi:10.1209/epl/i2005-10041-3

Cited by 32 publications

(42 citation statements)

References 19 publications

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“…However, the effectiveness of entangled inputs in presence of memory never overcomes that of unentangled inputs in absence of memory (the maxima of the curves for s > 0 are below the maximum of the curve for s = 0). This is in contrast with what happen for the simple classical capacity [4,5].…”

Section: Results and Conclusioncontrasting

confidence: 73%

“…We shall show that entangled inputs can enhance the private classical information capacity [6], but not above that of unentangled inputs in absence of memory. This is in contrast with what happen for simple classical information capacity [4,5].…”

Section: Introductioncontrasting

confidence: 70%

“…Hence, the increasing attention devoted to channels with memory effects, where the noise may be strongly correlated between uses of the channel, has been extended to bosonic channels [3]. The main motivation that has led to investigate memory effects in such channels has been the possibility to enhance their classical capacity by means of entangled inputs [4,5]. Thus, the quest for effectiveness of entanglement inputs in other kind of capacities.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Privacy of a lossy bosonic memory channel

Ruggeri

Mancini

2007

Physics Letters A

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Section: Results and Conclusioncontrasting

confidence: 73%

Section: Introductioncontrasting

confidence: 70%

Section: Introductionmentioning

confidence: 99%

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Privacy of a lossy bosonic memory channel

Ruggeri

Mancini

2007

Physics Letters A

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“…These results have recently been extended to some bosonic Gaussian channels [12,13]. Such an effect has been demonstrated experimentally for optical fiber channels with fluctuating birefringence, in which consecutive light pulses undergo strongly correlated polarization transformation [14,15].…”

Section: B Model Systems and Related Workmentioning

confidence: 78%

Quantum channels with memory

2005

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We present a general model for quantum channels with memory, and show that it is sufficiently general to encompass all causal automata: any quantum process in which outputs up to some time t do not depend on inputs at times t ′ > t can be decomposed into a concatenated memory channel. We then examine and present different physical setups in which channels with memory may be operated for the transfer of (private) classical and quantum information. These include setups in which either the receiver or a malicious third party have control of the initializing memory. We introduce classical and quantum channel capacities for these settings, and give several examples to show that they may or may not coincide. Entropic upper bounds on the various channel capacities are given. For forgetful quantum channels, in which the effect of the initializing memory dies out as time increases, coding theorems are presented to show that these bounds may be saturated. Forgetful quantum channels are shown to be open and dense in the set of quantum memory channels.

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“…Recently, there has been some interest in studying the behavior of these channels with correlations [2,3] since such channels might be regarded as a small first step in studying the much more complex issue of channels with memory [4,5,6,7,8,9]. They can also describe multiple access channels.…”

Section: Introductionmentioning

confidence: 99%

Qubit channels with small correlations

et al. 2008

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We introduce a class of quantum channels with correlations acting on pairs of qubits, where the correlation takes the form of a shift operator onto a maximally entangled state. We optimise the output purity and show that below a certain threshold the optimum is achieved by partially entangled states whose degree of entanglement increases monotonically with the correlation parameter. Above this threshold, the optimum is achieved by the maximally entangled state characterizing the shift. Although, a full analysis can only be done for the 2-norm, both numerical and heuristic arguments indicate that this behavior and the optimal inputs are independent of p > 1 when the optimal output purity is measured using the p-norm.

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Information transmission through lossy bosonic memory channels

Abstract: We study the information transmission through a quantum channel, defined over a continuous alphabet and losing its energy en route, in presence of correlated noise among different channel uses. We then show that entangled inputs improve the rate of transmission of such a channel.

Cited by 32 publications

References 19 publications

Privacy of a lossy bosonic memory channel

Privacy of a lossy bosonic memory channel

Quantum channels with memory

Qubit channels with small correlations

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