Role of syndrome information on a one-way quantum repeater using teleportation-based error correction

Namiki, Ryo; Jiang, Liang; Kim, Jungsang; Lütkenhaus, Norbert

doi:10.1103/physreva.94.052304

Cited by 22 publications

(19 citation statements)

References 20 publications

(46 reference statements)

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“…While repeaters with quantum memories can help to overcome the exponential scaling of the end-to-end success probability with distance, the elementary link generation is still probabilistic. This is generally true even in repeater protocols making use of quantum error correction [32][33][34][35][36][37][38][39] instead of entanglement swapping and entanglement purification. Furthermore, before any bipartite or multipartite entanglement can be shared between distant nodes in the network, the required elementary links have to be established.…”

Section: Introductionmentioning

confidence: 99%

Practical figures of merit and thresholds for entanglement distribution in quantum networks

Khatri

Matyas

Siddiqui

et al. 2019

Phys. Rev. Research

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Before global-scale quantum networks become operational, it is important to consider how to evaluate their performance so that they can be suitably built to achieve the desired performance. In this work, we consider three figures of merit for the performance of a quantum network: the average global connection time, the average point-to-point connection time, and the average largest entanglement cluster size. These three quantities are based on the generation of elementary links in a quantum network, which is a crucial initial requirement that must be met before any long-range entanglement distribution can be achieved. We evaluate these figures of merit for a particular class of quantum repeater protocols consisting of repeat-until-success elementary link generation along with entanglement swapping at intermediate nodes in order to achieve long-range entanglement. We obtain lower and upper bounds on these three quantities, which lead to requirements on quantum memory coherence times and other aspects of quantum network implementations. Our bounds are based solely on the inherently probabilistic nature of elementary link generation in quantum networks, and they apply to networks with arbitrary topology. CONTENTS

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Section: Introductionmentioning

confidence: 99%

Practical figures of merit and thresholds for entanglement distribution in quantum networks

Khatri

Matyas

Siddiqui

et al. 2019

Phys. Rev. Research

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“…However, the attenuation in the optical fiber poses a significant challenge for the long-distance transmission of single photons [9,10]. Quantum repeaters [11,12] solve the attenuation problem by dividing the total communication distance into shorter channels connected by intermediate nodes, where the photon loss is detected [13][14][15][16][17][18] and can be corrected by using an active mechanism [19][20][21][22][23][24][25][26]. In addition to photon loss errors, operation errors accumulate over the quantum channel that degrades the quality of the transmitted entangled state.…”

Section: Introductionmentioning

confidence: 99%

“…Such a combination of characteristics is achievable if different elements with the desired properties are brought together in one technological platform. This is one of the reasons for the growing interest in two-species trapped ions (TSTI), for example, the pairs of 9 Be + - 25 Mg + or 171 Yb + -138 Ba + ions [29,41]. Here a species of ions can be utilized as a communication qubit ( 25 Mg + or 138 Ba + ) that can be…”

Section: Introductionmentioning

confidence: 99%

Quantum repeaters based on two species trapped ions

et al. 2019

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We examine the viability of quantum repeaters based on two-species trapped ion modules for longdistance quantum key distribution. Repeater nodes comprised of ion-trap modules of co-trapped ions of distinct species are considered. The species used for communication qubits has excellent optical properties while the other longer lived species serves as a memory qubit in the modules. Each module interacts with the network only via single photons emitted by the communication ions. Coherent Coulomb interaction between ions is utilized to transfer quantum information between the communication and memory ions and to achieve entanglement swapping between two memory ions. We describe simple modular quantum repeater architectures realizable with the ion-trap modules and numerically study the dependence of the quantum key distribution rate on various experimental parameters, including coupling efficiency, gate infidelity, operation time and length of the elementary links. Our analysis suggests crucial improvements necessary in a physical implementation for cotrapped two-species ions to be a competitive platform in long-distance quantum communication. efficiently entangled to photons and a different longer lived species of ions ( 9 Be + or 171 Yb + ) that can be utilized as a quantum memory qubit and for local processing. A high-fidelity transfer of quantum information between the two species of ions can also be achieved [29]. Furthermore, due to transition-frequency difference the optical operations with the communication ions do not disturb the quantum memory ions even though they are only a few microns away. Despite such experimental advances an analysis of quantum key generation rates, among the most promising uses of a quantum network, using TSTI for quantum repeaters is lacking.We describe in this paper a quantum repeater architecture based on modules of two species of trapped ions. We study the viability of using these modules as building blocks for the construction of long-distance quantum repeaters by analyzing quantum key distribution rates. The architecture can potentially work for any pair of communication and memory ions. For the numerical results later in the paper, however, we consider the advances made with the 171 Yb + -138 Ba + pair described in [41] with the following features: excellent isolation between 171 Yb + quantum memory ions and 138 Ba + communication ions was achieved and a state transfer between them was demonstrated; Ba + coherence times of 100 μs in unstabilized magnetic fields and a coherence time of 4 ms with stabilized magnetic fields were measured; same-species two-qubit gates between 171 Yb + ions with 98% fidelity and cross-species two-qubit gates between a 171 Yb + ion and 138 Ba + ion with 75% fidelty in 200 μs were demonstrated; light collection efficiency from the 138 Ba + ion of about 10% and fiber coupling efficiency of 17% in the absence of a cavity were reported. Our analysis suggests crucial improvements in the performance parameters that can maximize key generation rates. We foc...

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“…Quantum error correction does not require any form of two-way classical communication. The third generation uses quantum error correction to correct both loss and operation errors, and avoids any form of two-way classical communication between repeater stations, thereby rendering ultrafast communication over transcontinental distances [16][17][18][19][20][21]. Since erasure errors are actively corrected in these repeater schemes, it is crucial to investigate quantum error correcting codes that can correct erasure errors very efficiently [22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

Overcoming erasure errors with multilevel systems

Muralidharan

Zou

et al. 2017

New J. Phys.

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We investigate the usage of highly efficient error correcting codes of multilevel systems to protect encoded quantum information from erasure errors and implementation to repetitively correct these errors. Our scheme makes use of quantum polynomial codes to encode quantum information and generalizes teleportation based error correction for multilevel systems to correct photon losses and operation errors in a fault-tolerant manner. We discuss the application of quantum polynomial codes to one-way quantum repeaters. For various types of operation errors, we identify different parameter regions where quantum polynomial codes can achieve a superior performance compared to qubit based quantum parity codes.

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Role of syndrome information on a one-way quantum repeater using teleportation-based error correction

Cited by 22 publications

References 20 publications

Practical figures of merit and thresholds for entanglement distribution in quantum networks

Practical figures of merit and thresholds for entanglement distribution in quantum networks

Quantum repeaters based on two species trapped ions

Overcoming erasure errors with multilevel systems

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