376 citations · 3k across the 73 of their papers we have counts for
6 papers · 2 filters
Stabilizer formalism for generalized concatenated quantum codes
Yun-Jiang Wang, Bei Zeng, Markus Grassl +1
The concept of generalized concatenated quantum codes (GCQC) provides a systematic way for constructing good quantum codes from short component codes. We introduce a stabilizer for…
Four-qubit pure states as fermionic states
Lin Chen, Dragomir Z. Djokovic, Markus Grassl +1
The embedding of the -qubit space into the -fermion space with modes is a widely used method in studying various aspects of these systems. This simple mapping raises a c…
Canonical form of three-fermion pure-states with six single particle states
Lin Chen, Dragomir Z Djokovic, Markus Grassl +1
We construct a canonical form for pure states in $\bwe^3(\bC^6)$, the three-fermion system with six single particle states, under local unitary (LU) transformations, i.e., the unit…
Symmetries of Codeword Stabilized Quantum Codes
Salman Beigi, Jianxin Chen, Markus Grassl +3
Symmetry is at the heart of coding theory. Codes with symmetry, especially cyclic codes, play an essential role in both theory and practical applications of classical error-correct…
Leveraging Automorphisms of Quantum Codes for Fault-Tolerant Quantum Computation
Markus Grassl, Martin Roetteler
Fault-tolerant quantum computation is a technique that is necessary to build a scalable quantum computer from noisy physical building blocks. Key for the implementation of fault-to…
Unextendible Mutually Unbiased Bases from Pauli Classes
Prabha Mandayam, Somshubhro Bandyopadhyay, Markus Grassl +1
We provide a construction of sets of (d/2+1) mutually unbiased bases (MUBs) in dimensions d=4,8 using maximal commuting classes of Pauli operators. We show that these incomplete se…