Results 21 to 30 of about 20,866 (243)

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, J. Eli Bourassa, Shruti Puri   +2 more
doaj   +1 more source

Fault-tolerant logical gates in quantum error-correcting codes [PDF]

, 2014
Recently, Bravyi and K\"onig have shown that there is a tradeoff between fault-tolerantly implementable logical gates and geometric locality of stabilizer codes.
Pastawski, Fernando, Yoshida, Beni
core   +3 more sources

Quantum stabilizer codes, lattices, and CFTs

Journal of High Energy Physics, 2021
There is a rich connection between classical error-correcting codes, Euclidean lattices, and chiral conformal field theories. Here we show that quantum error-correcting codes, those of the stabilizer type, are related to Lorentzian lattices and non ...
Anatoly Dymarsky, Alfred Shapere
doaj   +1 more source

Conversion of a general quantum stabilizer code to an entanglement distillation protocol [PDF]

, 2002
We show how to convert a quantum stabilizer code to a one-way or two-way entanglement distillation protocol. The proposed conversion method is a generalization of those of Shor-Preskill and Nielsen-Chuang.
Aschbacher M, Bennett C H, Bennett C H, Calderbank A R, Deutsch D, DiVincenzo D P, DiVincenzo D P, Gottesman D, Hamada M, Horodecki M, Knill E, Nielsen M A, Preskill J, Rains E M, Ryutaroh Matsumoto, Shor P W, Shor P W, Steane A M, Vollbrecht K G H, Weyl H   +19 more
core   +5 more sources

Stabilizer Formalism for Operator Algebra Quantum Error Correction [PDF]

Quantum
We introduce a stabilizer formalism for the general quantum error correction framework called operator algebra quantum error correction (OAQEC), which generalizes Gottesman's formulation for traditional quantum error correcting codes (QEC) and Poulin's ...
Guillaume Dauphinais, David W. Kribs, Michael Vasmer   +2 more
doaj   +1 more source

Logical Clifford Synthesis for Stabilizer Codes

IEEE Transactions on Quantum Engineering, 2020
Quantum error-correcting codes are used to protect qubits involved in quantum computation. This process requires logical operators to be translated into physical operators acting on physical quantum states.
Narayanan Rengaswamy, Robert Calderbank, Swanand Kadhe, Henry D. Pfister   +3 more
doaj   +1 more source

Quantum Stabilizer Codes and Classical Linear Codes

, 1996
We show that within any quantum stabilizer code there lurks a classical binary linear code with similar error-correcting capabilities, thereby demonstrating new connections between quantum codes and classical codes.
A. Ekert, A.M. Steane, A.R. Calderbank, C.E. Shannon, C.E. Shannon, C.H. Bennett, D. Gottesman, D.P. DiVincenzo, F.J. MacWilliams, J.H. van Lint, P.W. Shor, R. Laflamme, R.J. McEliece, Richard Cleve   +13 more
core   +3 more sources

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, Devetak, Igor, Hsieh, Min-Hsiu   +2 more
core   +2 more sources

Engineering Quantum Error Correction Codes Using Evolutionary Algorithms

IEEE Transactions on Quantum Engineering
Quantum error correction and the use of quantum error correction codes are likely to be essential for the realization of practical quantum computing.
Mark A. Webster, Dan E. Browne
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