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arXiv:0811.3100 · Physical Review A

Optimal entanglement generation for efficient hybrid quantum repeaters

Koji Azuma, Naoya Sota, Ryo Namiki, Şahin Kaya Özdemir, Takashi Yamamoto, Masato Koashi, Nobuyuki Imoto

Published Dec 15, 2009• 29 citations
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Abstract

We propose a realistic protocol to generate entanglement between quantum memories at neighboring nodes in hybrid quantum repeaters. Generated entanglement includes only one type of error, which enables efficient entanglement distillation. In contrast to the known protocols with such a property, our protocol with ideal detectors achieves the theoretical limit of the success probability and the fidelity to a Bell state, promising higher efficiencies in the repeaters. We also show that the advantage of our protocol remains even with realistic threshold detectors.

DOI
10.1103/physreva.80.060303

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We propose a realistic protocol to generate entanglement between quantum memories at neighboring nodes in hybrid quantum repeaters. Generated entanglement includes only one type of error, which enables efficient entanglement distillation. In contrast to the known protocols with such a property, our protocol with ideal detectors achieves the theoretical limit of the success probability and the fidelity to a Bell state, promising higher efficiencies in the repeaters. We also show that the advantage of our protocol remains even with realistic threshold detectors.
Long distance communication using quantum systems has been an area of great interest. The use of quantum repeaters in quantum systems is essential for successful long distance communication. The use of quantum memories in quantum repeaters faces a problem of entanglement loss. The remedy for entanglement loss is the entanglement distillation. In this paper we have described a protocol for entanglement distillation. The pairs of W, Bell and GHZ type entangled states were used as channels and sited their probabilistic success in entanglement distillation of a two qubit non-maximally entangled unknown state. The results obtained from quantum distillation using different quantum channels are compared and the best protocol for quantum distillation can be used in quantum memories which are used in quantum repeaters for efficient long distance communication.
We propose a repeat-until-success protocol to improve the performance of probabilistic quantum repeaters. Conventionally, these rely on passive static linear-optics elements and photodetectors to perform Bell-state measurements (BSMs) with a maximum success rate of 50%. This is a strong impediment for entanglement swapping between distant quantum memories. Every time a BSM fails, entanglement needs to be redistributed between the corresponding memories in the repeater link. The key ingredients of our scheme are repeatable BSMs. Under ideal conditions, these turn probabilistic quantum repeaters into deterministic ones. Under realistic conditions, our protocol too might fail. However, using additional threshold detectors now allows us to improve the entanglement generation rate by almost orders of magnitude, at a nominal distance of 1000 km, compared to schemes that rely on conventional BSMs. This improvement is sufficient to make the performance of our scheme comparable to the expected performance of some deterministic quantum repeaters.
We propose a quantum repeater protocol and architecture that mitigates decoherence of the entangled states by optimizing the quantum memory access time. The protocol maximizes the rate of distillable entanglement in the average accessed state at all nesting levels. The achievable rate is higher by orders of magnitude in comparison to a canonical protocol that does not optimize the access time. The advantage of the proposed design is observed for all nesting levels of the repeater for technologically feasible memory quality, entanglement generation and swapping success probabilities.
Abstract We propose a quantum repeater protocol and architecture that mitigates decoherence of the entangled states by optimizing the quantum memory buffer time. The protocol maximizes the rate of distillable entanglement in the average accessed state at all nesting levels. The achievable rate is higher by orders of magnitude in comparison to a canonical protocol that does not optimize the buffer time. The advantage of the proposed design is observed for all nesting levels of the repeater for technologically feasible memory quality, entanglement generation and swapping success probabilities.
The first stage of the hybrid quantum repeaters is entanglement generation based on transmission of pulses in coherent states over a lossy channel. Protocols to make entanglement with only one type of error are favorable for rendering subsequent entanglement distillation efficient. Here we provide the tight upper bound on performances of these protocols that is determined only by the channel loss. In addition, we show that this bound is achievable by utilizing a proposed protocol [K. Azuma, N. Sota, R. Namiki, \ifmmode \mbox{\c{S}}\else \c{S}\fi{}. K. \"Ozdemir, T. Yamamoto, M. Koashi, and N. Imoto, Phys. Rev. A 80, 060303(R) (2009)] composed of a simple combination of linear optical elements and photon-number-resolving detectors.
Due to the inevitable loss in communication channels, the distance of entanglement distribution is limited to approximately 100 km on the ground. Quantum repeater can circumvent this problem by utilizing quantum memory and entanglement swapping. As the elementary functional nodes for quantum repeater, the heralded generation of two-party entanglement between two remote nodes has only been realized with built-in-type quantum memories. These schemes suffer from the trade-off between multiplexing capacity and deterministic property and hence hinder their way to efficient quantum repeaters. Here we present the first experimental demonstration of functional quantum repeater nodes using absorptive quantum memories. We build two nodes separated by 3.5 m, each contains a polarization-entangled photon-pair source and a solid-state quantum memory. A joint Bell-state measurement in the middle station heralds the successful generation of maximally-entangled states between the two quantum memories with a fidelity of (80.4$\pm$2.1)%. The quantum memories used here are compatible with deterministic entanglement sources and can support multiplexing simultaneously, which paves the way to the construction of solid-state quantum repeaters and high-speed quantum networks.