EXIT-Chart Aided Quantum Code Design Improves the Normalised Throughput of Realistic Quantum Devices

Nguyen, Hung Viet; Babar, Zunaira; Alanis, Dimitrios; Botsinis, Panagiotis; Chandra, Daryus; Ng, Soon Xin; Hanzo, Lajos

doi:10.1109/access.2016.2591910

Cited by 26 publications

(46 citation statements)

References 54 publications

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“…Due to the complex interactions between the system and the environment, in general ρ S (t) may not be directly related to the initial state ρ S (0) through a unitary transformation. Furthermore, it is quite a challenge to evaluate (27), since it requires us to determine the dynamics ρ SE (t) of the composite system SE. Indeed, the status of the environment is always unknown and cannot be controlled in reality.…”

Section: A Modeling Quantum Decoherencementioning

confidence: 99%

“…V, decoherence may impose different types of errors on a qubit, such as bit-flip errors, phase-flip errors, as well as simultaneous bitand phase-flip errors, while, in the classical domain, only bit-flips may occur. Given the nature of the quantum-domain imperfections, the probability of bitflips and phase-flips tends to be different, regardless of the specific material representing the qubits, as seen inTable 1of[27] andFig. 6of[28], which the authors succinctly refer to as an 'asymmetric' property.…”

mentioning

confidence: 99%

“…Quantum process tomography is sensitive to the so called state preparation and measurement (SPAM) errors. Hence, the experiment results discussed in the following are inevitably affected also by SPAM errors 27. By applying a H gate on q[0], followed by a CNOT gate on q[1] with q[0] as control.…”

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confidence: 99%

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When Entanglement Meets Classical Communications: Quantum Teleportation for the Quantum Internet

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IEEE Trans. Commun.

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Quantum Teleportation is the key communication functionality of the Quantum Internet, allowing the "transmission" of qubits without the physical transfer of the particle storing the qubit. Quantum teleportation is facilitated by the action of quantum entanglement, a somewhat counter-intuitive physical phenomenon with no direct counterpart in the classical word. As a consequence, the very concept of the classical communication system model has to be redesigned to account for the peculiarities of quantum teleportation. This redesign is a crucial prerequisite for constructing any effective quantum communication protocol. The aim of this manuscript is to shed light on this key concept, with the objective of allowing the reader: i) to appreciate the fundamental differences between the transmission of classical information versus the teleportation of quantum information; ii) to understand the communications functionalities underlying quantum teleportation, and to grasp the challenges in the design and practical employment of these functionalities; iii) to acknowledge that quantum information is subject to the deleterious effects of a noise process termed as quantum decoherence. This imperfection has no direct counterpart in the classical world; iv) to recognize how to contribute to the design and employment of the Quantum Internet.

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Section: A Modeling Quantum Decoherencementioning

confidence: 99%

mentioning

confidence: 99%

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When Entanglement Meets Classical Communications: Quantum Teleportation for the Quantum Internet

Cacciapuoti

Caleffi

Meter

et al. 2020

IEEE Trans. Commun.

Self Cite

170

173

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show abstract

“…Furthermore, the powerful Extrinsic Information Transfer (EXIT) chart technique [346][347][348][349][350] that was originally introduced for analysing the convergence behaviour of iterative decoding and detection in conventional communication systems was recently further developed for analysing the iterative decoding convergence of QECCs [345]. In [344], entanglement assisted quantum coding schemes and the associated quantum depolarizing channel capacity were considered for both asymmetric and symmetric quantum depolarizing channels.…”

Section: Quantum Channel Codes For Approaching Quantum Channel Capmentioning

confidence: 99%

A Survey on Quantum Channel Capacities

Gyöngyösi

Imre

Nguyen

2018

IEEE Commun. Surv. Tutorials

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Quantum information processing exploits the quantum nature of information. It offers fundamentally new solutions in the field of computer science and extends the possibilities to a level that cannot be imagined in classical communication systems. For quantum communication channels, many new capacity definitions were developed in comparison to classical counterparts. A quantum channel can be used to realize classical information transmission or to deliver quantum information, such as quantum entanglement. Here we review the properties of the quantum communication channel, the various capacity measures and the fundamental differences between the classical and quantum channels.Comment: 58 pages, Journal-ref: IEEE Communications Surveys and Tutorials (2018) (updated & improved version of arXiv:1208.1270

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“…This is because the bit-flip as well as bit-and-phase-flip errors are associated with amplitude damping, while the phase-flip errors result from phase damping. In most practical systems, the value of T 1 is several orders of magnitude higher than that of T 2 [42], [43]. Consequently, most practical quantum systems behave as so-called asymmetric channels and they experience more phase-flips than bit-flips as well as bit-andphase-flips.…”

Section: Pauli Channelmentioning

confidence: 99%

Duality of Quantum and Classical Error Correction Codes: Design Principles and Examples

Babar

Chandra

Nguyen

et al. 2019

IEEE Commun. Surv. Tutorials

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Quantum Error Correction Codes (QECCs) can be constructed from the known classical coding paradigm by exploiting the inherent isomorphism between the classical and quantum regimes, while also addressing the challenges imposed by the strange laws of quantum physics. In this spirit, this paper provides deep insights into the duality of quantum and classical coding theory, hence aiming for bridging the gap between them. Explicitly, we survey the rich history of both classical as well as quantum codes. We then provide a comprehensive slow-paced tutorial for constructing stabilizer-based QECCs from arbitrary binary as well as quaternary codes, as exemplified by the dual-containing and non-dual-containing Calderbank-Shor-Steane (CSS) codes, non-CSS codes and entanglement-assisted codes. Finally, we apply our discussions to two popular code families, namely to the family of Bose-Chaudhuri-Hocquenghem (BCH) as well as of convolutional codes and provide detailed design examples for both their classical as well as their quantum versions.

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EXIT-Chart Aided Quantum Code Design Improves the Normalised Throughput of Realistic Quantum Devices

Cited by 26 publications

References 54 publications

When Entanglement Meets Classical Communications: Quantum Teleportation for the Quantum Internet

When Entanglement Meets Classical Communications: Quantum Teleportation for the Quantum Internet

A Survey on Quantum Channel Capacities

Duality of Quantum and Classical Error Correction Codes: Design Principles and Examples

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