Results 31 to 40 of about 28,680 (263)
Quantum Error Correction and Orthogonal Geometry [PDF]
, 1996 A group theoretic framework is introduced that simplifies the description of known quantum error-correcting codes and greatly facilitates the construction of new examples.
Calderbank, A. R. +3 more
core +3 more sources
A combinatorial approach to quantum error correcting codes [PDF]
Discrete Mathematics, Algorithms and Applications, 2014 Motivated from the theory of quantum error correcting codes, we investigate a combinatorial problem that involves a symmetric n-vertices colorable graph and a group of operations (coloring rules) on the graph: find the minimum sequence of operations that maps between two given graph colorings.
German Luna +3 more
openaire +3 more sources
Optimal universal quantum error correction via bounded reference frames
Physical Review Research, 2022 Error correcting codes with a universal set of transversal gates are a desideratum for quantum computing. Such codes, however, are ruled out by the Eastin-Knill theorem.
Yuxiang Yang +4 more
doaj +1 more source
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.
openaire +3 more sources
Entanglement-Assisted Quantum Codes from Cyclic Codes
Entropy, 2022 Entanglement-assisted quantum-error-correcting (EAQEC) codes are quantum codes which use entanglement as a resource. These codes can provide better error correction than the (entanglement unassisted) codes derived from the traditional stabilizer ...
Francisco Revson F. Pereira +1 more
doaj +1 more source
Fault-tolerant hyperbolic Floquet quantum error correcting codes [PDF]
QuantumA central goal in quantum error correction is to reduce the overhead of fault-tolerant quantum computing by increasing noise thresholds and reducing the number of physical qubits required to sustain a logical qubit.
Ali Fahimniya +6 more
doaj +1 more source
New Quantum Codes Constructed by Quantum Caps in PG(3,9) and PG(4,9)
IEEE Access, 2020 In this paper, we present a computer-supported method of searching for quantum caps. By means of this method and relevant knowledge of combinatorics, many quantum caps in $PG(3,9)$ and $PG(4,9)$ are constructively proven to exist.
Husheng Li, Ruihu Li, Qiang Fu
doaj +1 more source
Block synchronization for quantum information [PDF]
, 2013 Locating the boundaries of consecutive blocks of quantum information is a fundamental building block for advanced quantum computation and quantum communication systems.
B. Sklar +5 more
core +2 more sources
Automated Discovery of Autonomous Quantum Error Correction Schemes
PRX Quantum, 2022 We can encode a qubit in the energy levels of a quantum system. Relaxation and other dissipation processes lead to decay of the fidelity of this stored information.
Zhaoyou Wang +3 more
doaj +1 more source
Error Probability Mitigation in Quantum Reading Using Classical Codes
Entropy, 2021 A general framework describing the statistical discrimination of an ensemble of quantum channels is given by the name quantum reading. Several tools can be applied in quantum reading to reduce the error probability in distinguishing the ensemble of ...
Francisco Revson Fernandes Pereira +1 more
doaj +1 more source