Cover Image

Constructing quantum codes from any classical code and their embedding in ground space of local Hamiltonians

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Movassagh, Ramis, Ouyang, Yingkai
Format:	Preprint
Published:	2020
Subjects:	Quantum Physics Strongly Correlated Electrons Mathematical Physics
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

$W$ state is not the unique ground state of any local Hamiltonian
by: Gioia, Lei, et al.
Published: (2023)

Planar quantum low-density parity-check codes with open boundaries
by: Liang, Zijian, et al.
Published: (2025)

Error-correcting codes for fermionic quantum simulation
by: Chen, Yu-An, et al.
Published: (2022)

Quantum bootstrap product codes
by: Li, Meng-Yuan
Published: (2026)

Charting the space of ground states with tensor networks
by: Qi, Marvin, et al.
Published: (2023)

Generalized toric codes on twisted tori for quantum error correction
by: Liang, Zijian, et al.
Published: (2025)

Any local Hamiltonian with ferromagnetic quantum many-body scars has a generalized Shiraishi-Mori form
by: Omiya, Keita
Published: (2026)

XYZ ruby code: Making a case for a three-colored graphical calculus for quantum error correction in spacetime
by: de la Fuente, Julio C. Magdalena, et al.
Published: (2024)

Quantum circuits for toric code and X-cube fracton model
by: Chen, Penghua, et al.
Published: (2022)

Modified toric code models with flux attachment from Hopf algebra gauge theory
by: Conlon, Mia, et al.
Published: (2022)

Extracting topological orders of generalized Pauli stabilizer codes in two dimensions
by: Liang, Zijian, et al.
Published: (2023)

Generalized $\mathbb{Z}_p$ toric codes as qudit low-density parity-check codes
by: Liang, Zijian, et al.
Published: (2026)

Symmetry-enriched topological order and quasifractonic behavior in $\mathbb{Z}_N$ stabilizer codes
by: He, Siyu, et al.
Published: (2025)

Self-dual bivariate bicycle codes with transversal Clifford gates
by: Liang, Zijian, et al.
Published: (2025)

Topological subsystem bivariate bicycle codes with four-qubit check operators
by: Liang, Zijian, et al.
Published: (2026)

Simple Hamiltonians for Matrix Product State models
by: Schuch, Norbert, et al.
Published: (2025)

Complexity and order in approximate quantum error-correcting codes
by: Yi, Jinmin, et al.
Published: (2023)

Representing arbitrary ground states of toric code by a restricted Boltzmann machine
by: Chen, Penghua, et al.
Published: (2024)

Extendibility of fermionic states and rigorous ground state approximations of interacting fermionic systems
by: Krumnow, Christian, et al.
Published: (2024)

Operator algebra and algorithmic construction of boundaries and defects in (2+1)D topological Pauli stabilizer codes
by: Liang, Zijian, et al.
Published: (2024)

Homological origin of transversal implementability of logical diagonal gates in quantum CSS codes
by: Haruna, Junichi
Published: (2026)

Unveiling dynamical quantum error correcting codes via non-invertible symmetries
by: Radhakrishnan, Rajath, et al.
Published: (2025)

Floquet implementation of a 3d fermionic toric code with full logical code space
by: Watanabe, Yoshito, et al.
Published: (2026)

Universal quantum computation with group surface codes
by: Manjunath, Naren, et al.
Published: (2026)

Low-overhead quantum computing with the color code
by: Thomsen, Felix, et al.
Published: (2022)

Classification of locality preserving symmetries on spin chains
by: Bols, Alex, et al.
Published: (2025)

Macroscopic suppression of supersonic quantum transport
by: Faupin, Jérémy, et al.
Published: (2025)

Improving stabilizer approximation with quantum strategy
by: Zuo, Fen
Published: (2024)

Fermion as a non-local particle-hole excitation
by: Kushwaha, Alok, et al.
Published: (2025)

Locality bounds for quantum dynamics at low energy
by: Osborne, Andrew, et al.
Published: (2023)

Classification of the anyon sectors of Kitaev's quantum double model
by: Bols, Alex, et al.
Published: (2023)

Matrix-product unitaries: Beyond quantum cellular automata
by: Styliaris, Georgios, et al.
Published: (2024)

Extending the planar theory of anyons to quantum wire networks
by: Maciazek, Tomasz, et al.
Published: (2023)

Symmetry-deformed toric codes and the quantum dimer model
by: Qiao, Jiaxin, et al.
Published: (2025)

The category of anyon sectors for non-abelian quantum double models
by: Bols, Alex, et al.
Published: (2025)

Dualities in one-dimensional quantum lattice models: topological sectors
by: Lootens, Laurens, et al.
Published: (2022)

Functionally independent conservations laws in a quantum integrable model
by: Owusu, Haile, et al.
Published: (2013)

An index for invertible phases of two-dimensional quantum spin systems
by: Sopenko, Nikita
Published: (2024)

Cups and Gates I: Cohomology invariants and logical quantum operations
by: Breuckmann, Nikolas P., et al.
Published: (2024)

Symmetry defects and gauging for quantum states with matrix product unitary symmetries
by: Franco-Rubio, Adrián, et al.
Published: (2025)