Results 1 to 10 of about 20,866 (243)

Stabilizer codes for open quantum systems [PDF]

Scientific Reports, 2023
The Lindblad master equation describes the evolution of a large variety of open quantum systems. An important property of some open quantum systems is the existence of decoherence-free subspaces.
Francisco Revson F. Pereira, Stefano Mancini, Giuliano G. La Guardia   +2 more
doaj   +2 more sources

On the Exploration of Quantum Polar Stabilizer Codes and Quantum Stabilizer Codes with High Coding Rate [PDF]

Entropy
Inspired by classical polar codes, whose coding rate can asymptotically achieve the Shannon capacity, researchers are trying to find their analogs in the quantum information field, which are called quantum polar codes.
Zhengzhong Yi, Zhipeng Liang, Yulin Wu, Xuan Wang   +3 more
doaj   +2 more sources

2D Compass Codes

Physical Review X, 2019
The compass model on a square lattice provides a natural template for building subsystem stabilizer codes. The surface code and the Bacon-Shor code represent two extremes of possible codes depending on how many gauge qubits are fixed.
Muyuan Li, Daniel Miller, Michael Newman, Yukai Wu, Kenneth R. Brown   +4 more
doaj   +2 more sources

Disjointness of Stabilizer Codes and Limitations on Fault-Tolerant Logical Gates [PDF]

Physical Review X, 2018
Stabilizer codes are among the most successful quantum error-correcting codes, yet they have important limitations on their ability to fault tolerantly compute.
Tomas Jochym-O’Connor, Aleksander Kubica, Theodore J. Yoder   +2 more
doaj   +6 more sources

Counting stabiliser codes for arbitrary dimension [PDF]

Quantum, 2023
In this work, we compute the number of $[[n,k]]_d$ stabilizer codes made up of $d$-dimensional qudits, for arbitrary positive integers $d$. In a seminal work by Gross \cite{Gross2006} the number of $[[n,k]]_d$ stabilizer codes was computed for the case ...
Tanmay Singal, Che Chiang, Eugene Hsu, Eunsang Kim, Hsi-Sheng Goan, Min-Hsiu Hsieh   +5 more
doaj   +1 more source

Pauli topological subsystem codes from Abelian anyon theories [PDF]

Quantum, 2023
We construct Pauli topological subsystem codes characterized by arbitrary two-dimensional Abelian anyon theories–this includes anyon theories with degenerate braiding relations and those without a gapped boundary to the vacuum.
Tyler D. Ellison, Yu-An Chen, Arpit Dua, Wilbur Shirley, Nathanan Tantivasadakarn, Dominic J. Williamson   +5 more
doaj   +1 more source

Narain CFTs from qudit stabilizer codes

SciPost Physics Core, 2023
We construct a discrete subset of Narain CFTs from quantum stabilizer codes with qudit (including qubit) systems whose dimension is a prime number. Our construction exploits three important relations.
Kohki Kawabata, Tatsuma Nishioka, Takuya Okuda
doaj   +1 more source

Qubit-Oscillator Concatenated Codes: Decoding Formalism and Code Comparison

PRX Quantum, 2023
Concatenating bosonic error-correcting codes with qubit codes can substantially boost the error-correcting power of the original qubit codes. It is not clear how to concatenate optimally, given that there are several bosonic codes and concatenation ...
Yijia Xu, Yixu Wang, En-Jui Kuo, Victor V. Albert   +3 more
doaj   +1 more source

Local tensor-network codes

New Journal of Physics, 2022
Tensor-network codes enable the construction of large stabilizer codes out of tensors describing smaller stabilizer codes. An application of tensor-network codes was an efficient and exact decoder for holographic codes.
Terry Farrelly, David K Tuckett, Thomas M Stace   +2 more
doaj   +1 more source

Narain CFTs from nonbinary stabilizer codes

Journal of High Energy Physics, 2023
We generalize the construction of Narain conformal field theories (CFTs) from qudit stabilizer codes to the construction from quantum stabilizer codes over the finite field of prime power order ( F p m $$ {\mathbbm{F}}_{p^m} $$ with p prime and m ≥ 1) or
Yasin Ferdous Alam, Kohki Kawabata, Tatsuma Nishioka, Takuya Okuda, Shinichiro Yahagi   +4 more
doaj   +1 more source