Results 31 to 40 of about 8,540 (277)
Pauli channels can be estimated from syndrome measurements in quantum error correction [PDF]
Quantum, 2022 The performance of quantum error correction can be significantly improved if detailed information about the noise is available, allowing to optimize both codes and decoders. It has been proposed to estimate error rates from the syndrome measurements done
Thomas Wagner +3 more
doaj +1 more source
Quantum information and statistical mechanics: an introduction to frontier [PDF]
, 2013 This is a short review on an interdisciplinary field of quantum information science and statistical mechanics. We first give a pedagogical introduction to the stabilizer formalism, which is an efficient way to describe an important class of quantum ...
Fujii, Keisuke
core +3 more sources
The Nonexistence of a $[[{13,5,4}]]$-Quantum Stabilizer Code [PDF]
IEEE Transactions on Information Theory, 2011 One of the oldest problems in the theory of quantum stabilizer codes is solved by proving the nonexistence of quantum [[13,5,4]]-codes.
Bierbrauer J. +3 more
openaire +1 more source
Tailored cluster states with high threshold under biased noise
npj Quantum Information, 2023 Fault-tolerant cluster states form the basis for scalable measurement-based quantum computation. Recently, new stabilizer codes for scalable circuit-based quantum computation have been introduced that have very high thresholds under biased noise where ...
Jahan Claes +2 more
doaj +1 more source
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
Finite-rate sparse quantum codes aplenty [PDF]
Quantum, 2023 We introduce a methodology for generating random multi-qubit stabilizer codes based on solving a constraint satisfaction problem (CSP) on random bipartite graphs.
Maxime Tremblay +2 more
doaj +1 more source
Some New Quantum BCH Codes over Finite Fields
Entropy, 2021 Quantum error correcting codes (QECCs) play an important role in preventing quantum information decoherence. Good quantum stabilizer codes were constructed by classical error correcting codes.
Lijuan Xing, Zhuo Li
doaj +1 more source
Catalytic quantum error correction [PDF]
, 2006 We develop the theory of entanglement-assisted quantum error correcting (EAQEC) codes, a generalization of the stabilizer formalism to the setting in which the sender and receiver have access to pre-shared entanglement.
Brun, Todd +2 more
core +2 more sources
Finding the disjointness of stabilizer codes is NP-complete
Physical Review Research, 2021 The disjointness of a stabilizer code is a quantity used to constrain the level of the logical Clifford hierarchy attainable by transversal gates and constant-depth quantum circuits.
John Bostanci, Aleksander Kubica
doaj +1 more source
Algebraic geometric construction of a quantum stabilizer code [PDF]
, 2001 The stabilizer code is the most general algebraic construction of quantum error-correcting codes proposed so far. A stabilizer code can be constructed from a self-orthogonal subspace of a symplectic space over a finite field.
Matsumoto, Ryutaroh
core +4 more sources