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Quantum trade-off coding for bosonic communication

Mark M. Wilde, Patrick Hayden, Saikat Guha
2012 Physical Review A. Atomic, Molecular, and Optical Physics  
The trade-off capacity region of a quantum channel characterizes the optimal net rates at which a sender can communicate classical, quantum, and entangled bits to a receiver by exploiting many independent  ...  We also derive a "rule of thumb" for trade-off coding, which determines how to allocate photons in a coding strategy if a large mean photon number is available at the channel input.  ...  Shapiro for reminding us of relevant results [23] . MMW acknowledges the MDEIE (Québec) PSR-SIIRI international collaboration grant.  ... 
doi:10.1103/physreva.86.062306 fatcat:l2mla6p22fgklg52y72tb5i2lu

Information Trade-Offs for Optical Quantum Communication

Mark M. Wilde, Patrick Hayden, Saikat Guha
2012 Physical Review Letters  
Recent work has precisely characterized the achievable trade-offs between three key information processing tasks---classical communication (generation or consumption), quantum communication (generation  ...  Previously, the benefits of trade-off coding that had been found were too small to be of practical value (viz., for the dephasing and the universal cloning machine channels).  ...  Shapiro for reminding us of relevant results [29] . MMW acknowledges the MDEIE (Québec) PSR-SIIRI international collaboration grant.  ... 
doi:10.1103/physrevlett.108.140501 pmid:22540777 fatcat:izwe7gfxsjdzhnejukewigrhou

Strong converse for the classical capacity of the pure-loss bosonic channel

M. M. Wilde, A. Winter
2014 Problems of Information Transmission  
In particular, we first prove that there exists a trade-off between communication rate and error probability if one imposes only a mean-photon number constraint on the channel inputs.  ...  We then prove that a strong converse theorem holds for the classical capacity of this channel (that such a rate-error trade-off cannot occur) if one instead demands for a maximum photon number constraint  ...  MMW is grateful to the quantum information theory group at the Universitat Autònoma de Barcelona for hosting him for a research visit during April-May 2013, during which some of the work for this research  ... 
doi:10.1134/s003294601402001x fatcat:qp4oitiy7zexdacmm4ohuomlou

Table of contents

2021 IEEE Transactions on Information Theory  
Lloyd The Quantum Wasserstein Distance of Order 1 6627 Y. Ouyang and E. T. Campbell Trade-Offs on Number and Phase Shift Resilience in Bosonic Quantum Codes 6644 N. P. Breuckmann and J. N.  ...  Chen On the Optimality of the Greedy Policy for Battery Limited Energy Harvesting Communications 6548 R. Tamir and N.  ... 
doi:10.1109/tit.2021.3110692 fatcat:kxnnjna4zzc5tmbdgh6io5umnq

Capacities of quantum amplifier channels

Haoyu Qi, Mark M. Wilde
2017 Physical Review A  
First, we establish the capacities of quantum-limited amplifier channels for one of the most general communication tasks, characterized by the trade-off between classical communication, quantum communication  ...  Second, we establish capacities of quantum-limited amplifier channels for the trade-off between public classical communication, private classical communication, and secret key generation.  ...  In Section III, we consider the communication trade-off for a quantum-limited amplifier channel.  ... 
doi:10.1103/physreva.95.012339 fatcat:2azxbm4llfftliowvp6hhjokri

Entanglement-assisted capacity regions and protocol designs for quantum multiple-access channels

Haowei Shi, Min-Hsiu Hsieh, Saikat Guha, Zheshen Zhang, Quntao Zhuang
2021 npj Quantum Information  
Due to teleportation and superdense coding, our results for EA classical communication can be directly extended to EA quantum communication at half of the rates.  ...  As an example, we consider the bosonic thermal-loss MAC and solve the one-shot capacity region enabled by an entanglement source composed of sender-receiver pairwise two-mode squeezed vacuum states.  ...  These rates in general have non-trivial trade-offs with each other.  ... 
doi:10.1038/s41534-021-00412-3 fatcat:e7oaigfjyvcnjh6pt5gslmwjcm

Cat Codes with Optimal Decoherence Suppression for a Lossy Bosonic Channel

Linshu Li, Chang-Ling Zou, Victor V. Albert, Sreraman Muralidharan, S. M. Girvin, Liang Jiang
2017 Physical Review Letters  
The trade-off between the two major errors enables optimized performance of cat codes in terms of minimized decoherence.  ...  With high coupling efficiency, we show that one-way quantum repeaters with cat codes feature drastically boosted secure communication rate per mode compared with conventional encoding schemes, and thus  ...  Excitation loss in bosonic systems, such as localized cavity modes for quantum memories and propagating modes for quantum communication, can be modeled as a LBC.  ... 
doi:10.1103/physrevlett.119.030502 pmid:28777607 fatcat:kohirll23faj7gczgryy2fswg4

Trade-off coding for universal qudit cloners motivated by the Unruh effect

Tomas Jochym-O'Connor, Kamil Brádler, Mark M Wilde
2011 Journal of Physics A: Mathematical and Theoretical  
A "triple trade-off" capacity region of a noisy quantum channel provides a more complete description of its capabilities than does a single capacity formula.  ...  We determine two triple-trade off regions, the quantum dynamic capacity region and the private dynamic capacity region, of the d-dimensional Unruh channel.  ...  The authors would like to acknowledge Norbert Lütkenhaus and Patrick Hayden for useful discussions.  ... 
doi:10.1088/1751-8113/44/41/415306 fatcat:447ssruzeferrn4hweiyv3q62a

Continuous-variable quantum repeaters based on bosonic error-correction and teleportation: architecture and applications [article]

Bo-Han Wu, Zheshen Zhang, Quntao Zhuang
2022 arXiv   pre-print
illumination, as three representative use cases for quantum communication and sensing.  ...  underpins a variety of quantum sensing and communication application, a quantum-repeater architecture for genuine CV quantum information remains largely unexplored.  ...  Quantum-repeater architecture with bosonic quantum error correction Fig. 1 illustrates the architecture for our CV QR based on the bosonic QEC code [67] .  ... 
arXiv:2109.07086v2 fatcat:fght6kyn55h4zfbxyvgjvysiui

Strong Converse for the Classical Capacity of Optical Quantum Communication Channels

Bhaskar Roy Bardhan, Raul Garcia-Patron, Mark M. Wilde, Andreas Winter
2015 IEEE Transactions on Information Theory  
This result is obtained by proving a strong converse theorem for the classical capacity of all phase-insensitive bosonic Gaussian channels, a well-established model of optical quantum communication channels  ...  We establish the classical capacity of optical quantum channels as a sharp transition between two regimes---one which is an error-free regime for communication rates below the capacity, and the other in  ...  Let ρ m denote a codeword of any code for communication over the phase-insensitive Gaussian channel P.  ... 
doi:10.1109/tit.2015.2403840 fatcat:hcczqszo5jaobcfa5ktzva45yq

Strong converse rates for classical communication over thermal and additive noise bosonic channels

Bhaskar Roy Bardhan, Mark M. Wilde
2014 Physical Review A. Atomic, Molecular, and Optical Physics  
In order for these theorems to hold, we need to impose a maximum photon number constraint on the states input to the channel (the strong converse property need not hold if there is only a mean photon number  ...  the interpretation of these upper bounds, in the sense that we now know that the probability of correctly decoding a classical message rapidly converges to zero in the limit of many channel uses if the communication  ...  a trade-off between the communication rate and error probability.  ... 
doi:10.1103/physreva.89.022302 fatcat:t553drjs6zgstkbhxsemsrxrki

On the minimum output entropy of single-mode phase-insensitive Gaussian channels [article]

Haoyu Qi, Mark M. Wilde, Saikat Guha
2017 arXiv   pre-print
The EPnI, if proven true, would take on a role analogous to Shannon's EPI in proving coding theorem converses involving quantum limits of classical communication over bosonic channels.  ...  The truth of the latter leads to a solution of the triple trade-off and broadcast capacities of quantum-limited amplifier channels. We note that de Palma et al. [Phys. Rev.  ...  ACKNOWLEDGEMENTS We are very grateful to Giacomo de Palma for pointing out the main problem with our previously claimed proof of Conjecture A in the original arXiv posting of this note. This  ... 
arXiv:1607.05262v2 fatcat:pyqvsfr5fvcuzkxubges2hwfyy

The power of entangled quantum channels [article]

Seth Lloyd
2001 arXiv   pre-print
This paper investigates the trade-off between power and communication rate for coupled quantum channels.  ...  Quantum mechanics contributes both obstacles to communication in the form of noise, and opportunities in the use of intrinsically quantum representations for information.  ...  Acknowledgements: The author would like to thank Vittorio Giovannetti, Lorenzo Maccone, Hermann Haus, Jeff Shapiro, and Franco Wong for inspiration and for helpful discussions.  ... 
arXiv:quant-ph/0112034v1 fatcat:gwi7yo2aqfghlmh6rv5cndeqzq

Gaussian States Minimize the Output Entropy of One-Mode Quantum Gaussian Channels

Giacomo De Palma, Dario Trevisan, Vittorio Giovannetti
2017 Physical Review Letters  
Our result is crucial to prove the converse theorems for both the triple trade-off region and the capacity region for broadcast communication of the Gaussian quantum-limited amplifier.  ...  Phase-covariant quantum Gaussian channels model the attenuation and the noise that affect any electromagnetic signal in the quantum regime.  ...  This result finally permits to extend the Entropy Power Inequality to the quantum regime, and to prove the optimality of Gaussian encodings for both the triple trade-off coding and broadcast communication  ... 
doi:10.1103/physrevlett.118.160503 pmid:28474957 fatcat:tcfbroyfszepxbzytmkywgsal4

Reading boundless error-free bits using a single photon

Saikat Guha, Jeffrey H. Shapiro
2013 Physical Review A. Atomic, Molecular, and Optical Physics  
We show that with a coherent-state (laser) source, an on-off (amplitude-modulation) pixel encoding, and shot-noise-limited direct detection (an overly-optimistic model for commercial CD/DVD drives), the  ...  The code, target, and joint-detection receiver complexity required by a coherent-state transmitter to achieve comparable photon efficiency performance is shown to be much higher in comparison to that required  ...  This trade-off-for a variety of transmitter, encoding, and receiver techniques-is summarized in Fig. 3 .  ... 
doi:10.1103/physreva.87.062306 fatcat:me2xndkf2necrjm4umtwxfuwq4
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