Codes for the quantum erasure channel
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 … 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
Codes for the quantum erasure channel
Did you know?
WebAug 19, 2024 · Quantum Information Theory is significantly more diverse and complex than classical Information Theory. It is enough to say that the capacities of some basic quantum channels, for example, the quantum counterpart of the classical binary symmetric channel, are still not known. Even less is known about the performance of finite length quantum … WebJul 1, 1997 · Codes for the quantum erasure channel. Abstract. The quantum erasure channel (QEC) is considered. Codes for the QEC have to correct for erasures, i.e., …
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... WebThe quantum erasure channel [4,5] is the noise model that represents loss or leakage outside the computational space in multilevel systems. Erasures are ubiquitous in …
WebJun 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 … WebOct 28, 1996 · The 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 necessary and sufficient to encode one qubit and correct one erasure, in … We demonstrate new codes which correct just amplitude damping errors which … The quantum erasure channel (QEC) is considered. Codes for the QEC have to …
WebMar 6, 2024 · Information transmission with continuous variable quantum erasure channels Changchun Zhong, Changhun Oh, and Liang Jiang Pritzker School of Molecular Engineering, University of Chicago, Chicago, IL 60637, USA Get full text pdf Read on arXiv Vanity Comment on Fermat's library Find this paper interesting or want to discuss? grosvenor road brentford tw8 0nwWebThe 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 … filing disability onlineWebMay 19, 2015 · A large family of abelian codes that achieve the capacity of the binary erasure channel (BEC) under bit-MAP decoding is identified and their automorphism groups are studied to show that this code family achieves BEC capacity. 1 Highly Influenced View 15 excerpts, cites background On the Reed-Muller rule under channel polarization grosvenor recovery servicesWebThe 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 quantum bits are … filing divorce in ctWebThis 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 form R≤ 1-2p-D(p)with a function D(p)that stays positive for 0 < p< 1/2 and for any family of stabilizer codes whose generators have weights bounded from above by a constant … filing divorce in indiana onlineWebApr 27, 2024 · The Kraus operators for the channel are incorrect. The erasure channel acts on a qubit and outputs a qutrit. In the (uncommon) convention. E ( ρ) = ∑ M i † ρ M … grosvenor riser recliner chairsWebJul 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 ... filing divorce in indiana