Codes for the quantum erasure channel
WebWe provide polylog sparse quantum codes for correcting the erasure channel arbitrarily close to the capacity. Speci cally, we provide [[n;k;d]] quantum stabilizer codes that correct for the erasure channel arbitrarily close to the capacity if the erasure probability is at least 0:33, and with a generating set hS 1;S 2;:::S n kisuch that jS ij log WebThe quantum erasure channel (QEC) is considered. Codes for the QEC have to correct for erasures, i. e., arbitrary errors at known positions. We show that four qubits are …
Codes for the quantum erasure channel
Did you know?
WebThe quantum erasure channel (QEC) is considered. Codes for the QEC have to correct for erasures, i. e., arbitrary errors at known positions. We show that four... WebConsider the quantum erasure channel that gives Alice’s input state to Bob with probability 1 and an erasure ag to Bob with probability : ˆ!(1 )ˆ+ jeihej; (6) where hejˆjei= 0 for all inputs ˆ. An isometric extension of this channel is as follows: ... In the construction of a quantum code, we are trying to nd a \no-cloning"
WebNov 23, 2024 · Codes for the Quantum Erasure Channel. Phys. Rev. A 56 (pp. 33–38), 1997. [arXiv:quant-ph/9610042] — which is not much long after the Knill–Laflamme … WebOct 14, 2024 · The quantum erasure channel models phenomena such as loss or leakage of qubits. Using quantum codes, we can recover from such errors. In this paper, we are interested in studying the performance of two-dimensional color codes over the quantum erasure channel. Our approach makes use of the local equivalence between color …
Web1 day ago · We apply them to construct the first near-optimal codes for two tasks in quantum communication over adversarial channels. Our main application is an … WebMar 1, 2024 · The quantum analog of the classical erasure channel provides a simple example of a channel whose asymptotic capacity for faithful transmission of intact quantum states, with and without the ...
http://www.markus-grassl.de/paper/QEC.pdf#:~:text=The%20quantum%20erasure%20channel%20~QEC%21%20is%20considered.%20Codes,contrast%20to%20%EF%AC%81ve%20quantum%20bits%20for%20unknown%20positions.
WebJul 15, 2016 · The quantum erasure channel is the simplest example of a quantum communication channel and its information capacity is known precisely. The subclass of … paradise built sheds mount vernon illinoisWebThis allows us to recover the no-cloning bound on the capacity of the quantum erasure channel, R ≤ 1 - 2p, for stabilizer codes: we also derive an improved upper bound of the … paradise by anderson rocioWebJun 26, 2024 · We propose a decoding algorithm for color codes over the quantum erasure channel, which is linear-time maximum likelihood (ML) when the set of erased qubits … paradise builders marco islandWebAug 27, 2024 · The quantum erasure channel (QEC) was considered in [ 39] and it was pointed out that QECCs for a QEC have to correct for erasures, i.e., arbitrary errors at known positions. It was also proved there that four qubits are necessary and sufficient to encode one qubit and correct one erasure. paradise by anandi beach resortWeb1 day ago · We apply them to construct the first near-optimal codes for two tasks in quantum communication over adversarial channels. Our main application is an approximate quantum code over qubits which can efficiently correct from a number of (worst-case) erasure errors approaching the quantum Singleton bound. paradise by bazziWebJun 28, 2024 · The quantum analog of the classical erasure channel provides a simple example of a channel whose asymptotic capacity for faithful transmission of intact … paradise by black sherifWebJul 25, 2010 · A fundamental requirement for enabling fault-tolerant quantum information processing is an efficient quantum error-correcting code that robustly protects the involved fragile quantum states from ... paradise by axis mens silk shirts