Results 31 to 40 of about 40,499 (317)
Quantum optical coherence can survive photon losses: a continuous-variable quantum erasure correcting code [PDF]
, 2010 A fundamental requirement for enabling fault-tolerant quantum information processing is an efficient quantum error-correcting code (QECC) that robustly protects the involved fragile quantum states from their environment.
AK Majumdar +32 more
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Simple quantum error-correcting codes [PDF]
Physical Review A, 1996 Methods of finding good quantum error correcting codes are discussed, and many example codes are presented. The recipe C_2^{\perp} \subseteq C_1, where C_1 and C_2 are classical codes, is used to obtain codes for up to 16 information qubits with correction of small numbers of errors. The results are tabulated.
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Good quantum error-correcting codes exist [PDF]
Physical Review A, 1996 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 necessarily independently, the resulting n qubits can be used to faithfully reconstruct the original quantum state ...
Calderbank, A. R., Shor, Peter W.
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Eigenstate thermalization hypothesis and approximate quantum error correction
Journal of High Energy Physics, 2019 The eigenstate thermalization hypothesis (ETH) is a powerful conjecture for understanding how statistical mechanics emerges in a large class of many-body quantum systems. It has also been interpreted in a CFT context, and, in particular, holographic CFTs
Ning Bao, Newton Cheng
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Universal Framework for Quantum Error-Correcting Codes [PDF]
Entropy, 2021 We present a universal framework for quantum error-correcting codes, i.e., a framework that applies to the most general quantum error-correcting codes. This framework is based on the group algebra, an algebraic notation associated with nice error bases of quantum systems.
Zhuo Li 0007, Lijuan Xing
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Extra Shared Entanglement Reduces Memory Demand in Quantum Convolutional Coding [PDF]
, 2009 We show how extra entanglement shared between sender and receiver reduces the memory requirements for a general entanglement-assisted quantum convolutional code. We construct quantum convolutional codes with good error-correcting properties by exploiting
Mark M. Wilde +2 more
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Sparse-Graph Codes for Quantum Error Correction [PDF]
IEEE Transactions on Information Theory, 2004 Version 7.3e: 42 pages. Extended version, Feb 2004.
David J. C. MacKay +2 more
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Classic and Quantum Error Correcting Codes
, 2008 Algebraic methods play an important role in coding theory. For instance, there are many connections between codes and groups. In this paper we will present two results that show different applications of algebraic methods in coding theory. One of them refers to the classical context and another one to the quantum error correcting theory.
Santos Manuel Coronas González +2 more
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Correcting non-independent and non-identically distributed errors with surface codes [PDF]
Quantum, 2023 A common approach to studying the performance of quantum error correcting codes is to assume independent and identically distributed single-qubit errors.
Konstantin Tiurev +4 more
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Generalizing the matching decoder for the Chamon code [PDF]
QuantumDifferent choices of quantum error-correcting codes can reduce the demands on the physical hardware needed to build a quantum computer. To achieve the full potential of a code, we must develop practical decoding algorithms that can correct errors that ...
Zohar Schwartzman-Nowik +1 more
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