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In this article, we present the unbalanced quantum error correcting codes(one-party-QECC), a novel idea for correcting unbalanced quantum errors. In some quantum communication tasks using entangled pairs, the error distributions between two…

量子物理 · 物理学 2007-05-23 Kai Wen , Gui Lu Long

An entangled state is said to be $m$-uniform if the reduced density matrix of any $m$ qubits is maximally mixed. This is intimately linked to pure quantum error correction codes (QECCs), which allow not only to correct errors, but also to…

量子物理 · 物理学 2023-09-01 Sowrabh Sudevan , Daniel Azses , Emanuele G. Dalla Torre , Eran Sela , Sourin Das

Entanglement purification takes a number of noisy EPR pairs and processes them to produce a smaller number of more reliable pairs. If this is done with only a forward classical side channel, the procedure is equivalent to using a quantum…

量子物理 · 物理学 2007-11-07 Andris Ambainis , Daniel Gottesman

Since its discovery, the quantum entanglement becomes a promising resource in quantum communication and computation. However, the entanglement is fragile due to the presence of noise in quantum channels. Entanglement purification is a…

量子物理 · 物理学 2023-04-26 Peishun Yan , Lan Zhou , Wei Zhong , Yubo Sheng

Errors are inevitable during all kinds quantum informational tasks and quantum error-correcting codes (QECCs) are powerful tools to fight various quantum noises. For standard QECCs physical systems have the same number of energy levels.…

量子物理 · 物理学 2015-06-05 Zhuo Wang , Sixia Yu , Heng Fan , C. H. Oh

Entanglement purification protocols (EPPs) are essential for generating high-fidelity entangled states in noisy quantum systems, enabling robust quantum networking and computation. Building on the circuit of the foundational recurrence…

The task of preserving entanglement against noises is of crucial importance for both quantum communication and quantum information transfer. To this aim, quantum error correction (QEC) codes may be employed to compensate, at least…

量子物理 · 物理学 2023-03-21 Alessio Morea , Michele N. Notarnicola , Stefano Olivares

Contrary to the assumption that most quantum error-correcting codes (QECC) make, it is expected that phase errors are much more likely than bit errors in physical devices. By employing the entanglement-assisted stabilizer formalism, we…

量子物理 · 物理学 2011-04-27 Yuichiro Fujiwara , Min-Hsiu Hsieh

Quantum error correcting codes (QECCs) in quantum communi- cation systems has been known to exhibit improved performance with the use of error-free entanglement bits (ebits). In practical situations, ebits inevitably suffer from errors, and…

量子物理 · 物理学 2016-11-04 Byungkyu Ahn , Jeonghwan Shin , Jun Heo

So far all the proven unconditionally secure prepare and measure protocols for the quantum key distribution(QKD) must solve the very complex problem of decoding the classical CSS code. In the decoding stage, Bob has to compare his string…

量子物理 · 物理学 2007-05-23 Wang Xiang-bin

Simpler encoding and decoding networks are necessary for more reliable quantum error correcting codes (QECCs). The simplification of the encoder-decoder circuit for a perfect five-qubit QECC can be derived analytically if the QECC is…

量子物理 · 物理学 2007-05-23 Jin-Yuan Hsieh , Che-Ming Li , Der-San Chuu

We consider entanglement purification protocols for multiple copies of qubit states. We use high-dimensional auxiliary entangled systems to learn about number and positions of errors in the noisy ensemble in an explicit and controlled way,…

量子物理 · 物理学 2021-07-28 Ferran Riera Sàbat , Pavel Sekatski , Alexander Pirker , Wolfgang Dür

High-fidelity quantum entanglement is a key resource for quantum communication and distributed quantum computing, enabling quantum state teleportation, dense coding, and quantum encryption. Any sources of decoherence in the communication…

Near-term quantum communication protocols suffer inevitably from channel noises, whose alleviation has been mostly attempted with resources such as multiparty entanglement or sophisticated experimental techniques. Generation of multiparty…

量子物理 · 物理学 2023-02-21 Rajni Bala , Sooryansh Asthana , V. Ravishankar

Quantum error correction protects the quantum state against noise and decoherence in quantum communication and quantum computation, which enables one to perform fault-torrent quantum information processing. We experimentally demonstrate a…

量子物理 · 物理学 2015-11-23 Shuhong Hao , Xiaolong Su , Caixing Tian , Changde Xie , Kunchi Peng

Multipartite entanglement plays an important role in controlled quantum teleportation, quantum secret sharing, quantum metrology and some other important quantum information branches. However, the maximally multipartite entangled state will…

量子物理 · 物理学 2021-01-25 Lan Zhou , Pei-Shun Yan , Wei Zhong , Yu-Bo Sheng

Logic-qubit entanglement is a promising resource in quantum information processing, especially in future large-scale quantum networks. In the paper, we put forward an efficient entanglement purification protocol (EPP) for nonlocal mixed…

量子物理 · 物理学 2016-01-25 Lan Zhou , Yu-Bo Sheng

It is often assumed that the ancilla qubits required for encoding a qubit in quantum error correction (QEC) have to be in pure states, $|00...0>$ for example. In this letter, we seek an encoding scheme, in which the ancillae may be in a…

量子物理 · 物理学 2013-08-21 Yasushi Kondo , Chiara Bagnasco , Mikio Nakahara

Entanglement assistance is known to reduce the quantum communication complexity of evaluating functions with distributed inputs. But does the type of entanglement matter, or are EPR pairs always sufficient? This is a natural question…

量子物理 · 物理学 2019-07-17 Matthew Coudron , Aram W. Harrow

The scheme of entanglement-assisted quantum error-correcting (EAQEC) codes assumes that the ebits of the receiver are error-free. In practical situations, errors on these ebits are unavoidable, which diminishes the error-correcting ability…

量子物理 · 物理学 2012-09-26 Ching-Yi Lai , Todd A. Brun
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