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A quantum error-correcting code is defined to be a unitary mapping (encoding) of k qubits (2-state quantum systems) into a subspace of the quantum state space of n qubits such that if any t of the qubits undergo arbitrary decoherence, not…

Quantum Physics · Physics 2009-10-28 A. R. Calderbank , Peter W. Shor

Our objective was to design a quantum repeater capable of achieving one million entangled pairs per second over a distance of 1000km. We failed, but not by much. In this letter we will describe the series of developments that permitted us…

Quantum Physics · Physics 2015-05-14 W. J. Munro , K. A. Harrison , A. M. Stephens , S. J. Devitt , Kae Nemoto

Compared with entanglement with multiple types of noise, entanglement including only one type of error is a favorable fundamental resource not only for quantum communication but also for distributed quantum computation. We consider protocol…

Quantum Physics · Physics 2022-07-13 Koji Azuma , Nobuyuki Imoto , Masato Koashi

Using 2 km of standard telecom optical fibres, we teleport qubits carried by photons of 1310 nm wavelength to qubits in another lab carried by a photons of 1550 nm wavelength. The photons to be teleported and the necessary entangled photon…

Quantum Physics · Physics 2007-05-23 N. Gisin , I. Marcikic , H. de Riedmatten , W. Tittel , H. Zbinden

Quantum repeaters provide an efficient solution to distribute Bell pairs over arbitrarily long distances. While scalable architectures are demanding regarding the number of qubits that need to be controlled, here we present a quantum…

Quantum Physics · Physics 2017-11-10 M. Zwerger , B. P. Lanyon , T. E. Northup , C. A. Muschik , W. Dür , N. Sangouard

We propose a scheme for fault-tolerant long-range entanglement generation at the ends of a rectangular array of qubits of length $R$ and a square cross section of size $d\times d$ with $d=O(\log R)$. Up to an efficiently computable Pauli…

Quantum Physics · Physics 2022-09-21 Shin Ho Choe , Robert Koenig

A quantum communication architecture is being developed for long-distance, high-fidelity qubit teleportation. It uses an ultrabright narrowband source of polarization-entangled photons, plus trapped-atom quantum memories, and it is…

Quantum Physics · Physics 2007-05-23 Jeffrey H. Shapiro , Joe Aung , Brent J. Yen

Remote entanglement of distant, non-interacting quantum entities is a key primitive for quantum information processing. We present a new protocol to remotely entangle two stationary qubits by first entangling them with propagating ancilla…

Quantum Physics · Physics 2017-12-11 Ananda Roy , A. Douglas Stone , Liang Jiang

Practical distributed quantum computing and error correction require quantum networks with high-qubit-rate, high-fidelity, and low-reconfiguration-latency. Unfortunately, current approaches are limited by fundamental constraints:…

We show how procedures which can correct phase and amplitude errors can be directly applied to correct errors due to quantum entanglement. We specify general criteria for quantum error correction, introduce quantum versions of the Hamming…

Quantum Physics · Physics 2007-05-23 A. Ekert , C. Macchiavello

Quantum error correction codes are usually designed to correct errors regardless of their physical origins. In large-scale devices, this is an essential feature. In smaller-scale devices, however, the main error sources are often…

Quantum Physics · Physics 2020-06-05 David Layden , Louisa Ruixue Huang , Paola Cappellaro

Quantum routing, the entanglement of an input quantum signal over multiple output paths, will be an important aspect of future quantum networks. Implementation of such routing in emerging quantum networks via the noisy quantum devices…

Quantum Physics · Physics 2023-10-10 Wenbo Shi , Robert Malaney

In the absence of quantum repeaters, quantum communication proved to be nearly impossible across optical fibres longer than $\gtrsim 20\text{ km}$ due to the drop of transmissivity below the critical threshold of $1/2$. However, if the…

Quantum Physics · Physics 2025-12-29 Francesco Anna Mele , Ludovico Lami , Vittorio Giovannetti

We present a quantum repeater scheme based on the recently proposed qubit amplifier [N. Gisin, S. Pironio and N. Sangouard, Phys. Rev. Lett. 105, 070501 (2010)]. It relies on a on-demand entangled-photon pair source which uses on-demand…

Quantum Physics · Physics 2015-06-03 Jiří Minář , Hugues de Riedmatten , Nicolas Sangouard

The quantum repeater protocol is a promising approach to implement long-distance quantum communication and large-scale quantum networks. A key idea of the quantum repeater protocol is to use long-lived quantum memories to achieve efficient…

Quantum Physics · Physics 2022-01-31 Yunfei Pu , Sheng Zhang , Yukai Wu , Nan Jiang , Wei Chang , Chang Li , Luming Duan

It was shown by Ahn, Wiseman, and Milburn [PRA {\bf 67}, 052310 (2003)] that feedback control could be used as a quantum error correction process for errors induced by weak continuous measurement, given one perfectly measured error channel…

Quantum Physics · Physics 2009-11-10 Charlene Ahn , H. M. Wiseman , Kurt Jacobs

We propose a fault-tolerant quantum error correction architecture consisting of a linear array of emitters and delay lines. In our scheme, a resource state for fault-tolerant quantum computation is generated by letting the emitters interact…

Quantum Physics · Physics 2025-04-02 Jintae Kim , Jung Hoon Han , Isaac H. Kim

A quantum network is expected to enhance distributed quantum computing and quantum communication over a long distance while providing unconditional security. As quantum entanglement is essential for a quantum network, major issues from…

We re-examine a non-Gaussian quantum error correction code designed to protect optical coherent-state qubits against errors due to an amplitude damping channel. We improve on a previous result [Phys. Rev. A 81, 062344 (2010)] by providing a…

Quantum Physics · Physics 2014-05-14 Ricardo Wickert , Peter van Loock

We introduce a two-step error correction scheme for reconciliation in continuous-variable quantum key distribution systems. Using this scheme, it is possible to use error correction codes with small blocklengths (1000 bits), increasing…

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