Results 11 to 20 of about 20,866 (243)
Quantum Lego: Building Quantum Error Correction Codes from Tensor Networks
We introduce a flexible and graphically intuitive framework that constructs complex quantum error correction codes from simple codes or states, generalizing code concatenation.
ChunJun Cao, Brad Lackey
doaj +1 more source
Modifying Method of Constructing Quantum Codes From Highly Entangled States
There is a connection between classical codes, highly entangled pure states (called $k$ -uniform or absolutely maximally entangled (AME) states), and quantum error correcting codes (QECCs). This leads to a systematic method to construct stabilizer QECCs
Zahra Raissi
doaj +1 more source
Stabilizer Codes with Exotic Local-dimensions [PDF]
Traditional stabilizer codes operate over prime power local-dimensions. In this work we extend the stabilizer formalism using the local-dimension-invariant setting to import stabilizer codes from these standard local-dimensions to other cases.
Lane G. Gunderman
doaj +1 more source
Avoiding coherent errors with rotated concatenated stabilizer codes
Coherent errors, which arise from collective couplings, are a dominant form of noise in many realistic quantum systems, and are more damaging than oft considered stochastic errors.
Yingkai Ouyang
doaj +1 more source
Parafermion stabilizer codes [PDF]
We define and study parafermion stabilizer codes which can be viewed as generalizations of Kitaev's one dimensional model of unpaired Majorana fermions.
Güngördü, Utkan +2 more
core +3 more sources
Quantum LDPC Codes Based on Cocyclic Block Matrices
Motivated by a family of binary cocyclic block matrices over GF(2), we proposed a construction method to gain the stabilizer of long-length quantum error-correction codes (QECCs).
Yuan Li, Ying Guo
doaj +1 more source
Good approximate quantum LDPC codes from spacetime circuit Hamiltonians [PDF]
We study approximate quantum low-density parity-check (QLDPC) codes, which are approximate quantum error-correcting codes specified as the ground space of a frustration-free local Hamiltonian, whose terms do not necessarily commute. Such codes generalize
Bohdanowicz, Thomas C. +3 more
core +2 more sources
We present an algorithm for manipulating quantum information via a sequence of projective measurements. We frame this manipulation in the language of stabilizer codes: a quantum computation approach in which errors are prevented and corrected in part by ...
Kristina R Colladay, Erich J Mueller
doaj +1 more source
Quantum Lego and XP Stabilizer Codes [PDF]
We apply the recent graphical framework of "Quantum Lego" to XP stabilizer codes where the stabilizer group is generally non-Abelian. We show that the idea of operator matching continues to hold for such codes and is sufficient for generating all their ...
Ruohan Shen, Yixu Wang, ChunJun Cao
doaj +1 more source
Entanglement Purification of Any Stabilizer State [PDF]
We present a method for multipartite entanglement purification of any stabilizer state shared by several parties. In our protocol each party measures the stabilizer operators of a quantum error-correcting code on his or her qubits.
D. Gottesman +7 more
core +2 more sources

