Results 81 to 90 of about 27,601 (198)

Entropy of a Quantum Error Correction Code [PDF]

open access: yesOpen Systems & Information Dynamics, 2008
We define and investigate the notion of entropy for quantum error correcting codes. The entropy of a code for a given quantum channel has a number of equivalent realisations, such as through the coefficients associated with the Knill-Laflamme conditions and the entropy exchange computed with respect to any initial state supported on the code.
David W. Kribs   +2 more
openaire   +2 more sources

Compilation of a simple chemistry application to quantum error correction primitives

open access: yesPhysical Review Research
A number of exciting recent results have been seen in the field of quantum error correction. These include initial demonstrations of error correction on current quantum hardware and resource estimates which improve understanding of the requirements to ...
Nick S. Blunt   +2 more
doaj   +1 more source

Research on time-division multiplexing for error correction and privacy amplification in post-processing of quantum key distribution

open access: yesScientific Reports
The post-processing of quantum key distribution mainly includes error correction and privacy amplification. The error correction algorithms and privacy amplification methods used in the existing quantum key distribution are completely unrelated. Based on
Lei Chen, Xiao-Ming Chen, Ya-Long Yan
doaj   +1 more source

Spatial noise filtering through error correction for quantum sensing [PDF]

open access: yes, 2019
Quantum systems can be used to measure various quantities in their environment with high precision. Often, however, their sensitivity is limited by the decohering effects of this same environment. Dynamical decoupling schemes are widely used to filter
Cappellaro, Paola, Layden, David
core   +1 more source

Deep Quantum Error Correction

open access: yesProceedings of the AAAI Conference on Artificial Intelligence
Quantum error correction codes (QECC) are a key component for realizing the potential of quantum computing. QECC, as its classical counterpart (ECC), enables the reduction of error rates, by distributing quantum logical information across redundant physical qubits, such that errors can be detected and corrected. In this work, we efficiently train novel
Yoni Choukroun, Lior Wolf
openaire   +2 more sources

Continuous quantum error correction via quantum feedback control [PDF]

open access: yes, 2002
We describe a protocol for continuously protecting unknown quantum states from decoherence that incorporates design principles from both quantum error correction and quantum feedback control.
Ahn, Charlene   +2 more
core   +1 more source

Quantum error correction on infinite-dimensional Hilbert spaces [PDF]

open access: yes, 2009
We present a generalization of quantum error correction to infinite-dimensional Hilbert spaces. We find that, under relatively mild conditions, much of the structure known from systems in finite-dimensional Hilbert spaces carries straightforwardly over ...
Beny, Cedric   +8 more
core   +1 more source

Decoding Quantum Error Correction Codes With Local Variation

open access: yesIEEE Transactions on Quantum Engineering, 2020
In this article, we investigate the role of local information in the decoding of the repetition and surface error correction codes for the protection of quantum states.
Michael Hanks   +2 more
doaj   +1 more source

Quantum error correction with the semion code

open access: yesNew Journal of Physics, 2019
Abstract We present a full quantum error correcting procedure with the semion code: an off-shell extension of the double-semion model. We construct open-string operators that recover the quantum memory from arbitrary errors and closed-string operators that implement the basic logical operations for information processing. Physically, the
Dauphinais, Guillaume   +3 more
openaire   +6 more sources

Investigations in Quantum Computing: Causality and Graph Isomorphism [PDF]

open access: yes, 2004
In this thesis I explore two different types of limits on the time complexity of quantum computation---that is, limits on how much time is required to perform a given class of quantum operations on a quantum system. Upper limits can be found by explicit
Beckman, David Eugene
core   +1 more source

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