Absolutely maximally entangled states, quantum-maximum-distance-separable codes, and quantum repeaters

Alsina, Daniel Arriscado; Razavi, Mohsen

doi:10.1103/physreva.103.022402

Cited by 7 publications

(3 citation statements)

References 29 publications

(68 reference statements)

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“…As the reduced density matrix of smaller subsystems of the AMES is maximally mixed, they can be always used to develop the quantum secret sharing schemes [ 41 ] and quantum error correction codes. [ 42,43 ] Especially, a perfect teleportation in three qubit systems can be performed via the GHZ state, while the W state cannot, [ 44 ] besides the AMES in a three‐qubit system are LU equivalent to the GHZ state. [ 45 ] Hence, the AMES can be regarded as owning the maximal entanglement,

\text{that}

\text{is}

, the GqC is a proper GME measure.…”

Section: Resultsmentioning

confidence: 99%

A Genuine Multipartite Entanglement Measure Generated by the Parametrized Entanglement Measure

Shi,

Chen

2023

Annalen der Physik

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A genuine multipartite entanglement measure based on the geometric method is investigated in this paper. This measure has desirable properties for quantifying the genuine multipartite entanglement. A lower bound of the genuine multipartite entanglement measure derived with the fidelity‐based method is then presented. The advantages of the measure proposed here with other measures are also presented. At last, examples are presented to show that the genuine entanglement measure has distinct entanglement ordering from other measures.

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\text{that}

\text{is}

, the GqC is a proper GME measure.…”

Section: Resultsmentioning

confidence: 99%

A Genuine Multipartite Entanglement Measure Generated by the Parametrized Entanglement Measure

Shi,

Chen

2023

Annalen der Physik

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“…The TGW [6] and the PLOB [7] bounds require us to use quantum repeaters for a scalable QKD network. However, current research is dominated either by repeater distances of 1 -2 km [49][50][51], which are far beyond what the current infrastructure has to offer, or they require inter-repeater two-way communication over long distances together with a large number of quantum memories [52][53][54].…”

Section: Optimizing Transmissionmentioning

confidence: 99%

Optimizing quantum codes with an application to the loss channel with partial erasure information

Desef

Plenio

2022

Quantum

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Quantum error correcting codes (QECCs) are the means of choice whenever quantum systems suffer errors, e.g., due to imperfect devices, environments, or faulty channels. By now, a plethora of families of codes is known, but there is no universal approach to finding new or optimal codes for a certain task and subject to specific experimental constraints. In particular, once found, a QECC is typically used in very diverse contexts, while its resilience against errors is captured in a single figure of merit, the distance of the code. This does not necessarily give rise to the most efficient protection possible given a certain known error or a particular application for which the code is employed.In this paper, we investigate the loss channel, which plays a key role in quantum communication, and in particular in quantum key distribution over long distances. We develop a numerical set of tools that allows to optimize an encoding specifically for recovering lost particles both deterministically and probabilistically, where some knowledge about what was lost is available, and demonstrate its capabilities. This allows us to arrive at new codes ideal for the distribution of entangled states in this particular setting, and also to investigate if encoding in qudits or allowing for non-deterministic correction proves advantageous compared to known QECCs. While we here focus on the case of losses, our methodology is applicable whenever the errors in a system can be characterized by a known linear map.

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“…After Voyager 2 [22], Jet Propulsion Laboratory (JPL) at NASA took immense interest in QIT and its application for deep-space communication using the free-space optical channel. In last few decades, a number of treatise have been written and theories have been developed for applications such as deep-space communication, [23] channel coding and data compression, [24]- [26] cryptography and encryption, [27]- [30] and quantum internet [31]- [35] -all of them employing FSO communication channel.…”

Section: Phase-shift Keyed Coherent States Noise Models and Detector Imperfectionsmentioning

confidence: 99%

Constellation Optimization for Phase-Shift Keying Coherent States With Displacement Receiver to Maximize Mutual Information

Bhadani

Djordjević

2020

IEEE Access

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An important problem in quantum information theory is finding the best possible capacity of the optical communication channel employing suitable codewords, receiver design, and constellation optimization techniques. In this paper, we derive an alternative channel capacity, C G , of phase-shift keying coherent state with a realizable displacement receiver by maximizing mutual information over symbol priors and pre-detection displacement. We find that C G is higher than the capacity achieved by maximizing mutual information over symbol prior but with zero displacement. The overall scheme demonstrates designing an improved, yet easy-to-implement receiver for better communication performance by tuning it at different photon number regime. Further, we present a comparative analysis of C G with existing receiver designs. We extend our study to account for detector imperfections.

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Absolutely maximally entangled states, quantum-maximum-distance-separable codes, and quantum repeaters

Abstract: This is a repository copy of Absolutely maximally entangled states, quantum maximum distance separable codes, and quantum repeaters.

Cited by 7 publications

References 29 publications

A Genuine Multipartite Entanglement Measure Generated by the Parametrized Entanglement Measure

A Genuine Multipartite Entanglement Measure Generated by the Parametrized Entanglement Measure

Optimizing quantum codes with an application to the loss channel with partial erasure information

Constellation Optimization for Phase-Shift Keying Coherent States With Displacement Receiver to Maximize Mutual Information

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