Field

Quantum Error Correction

7 records: 6 unsolved, 1 solved. Filter the catalog by this field →

Unclassified existence parameters for homogeneous AME states
For which of the parameter pairs specified below does an absolutely maximally entangled state exist?
Unsolved
Quantum LDPC codes at the Pauli hashing bound
For a probability vector \(\mathbf p=(p_I,p_X,p_Y,p_Z)\), the qubit Pauli channel is
Unsolved
Minimal-support frontier for absolutely maximally entangled states
Determine, for every integer \(d\geq 2\), the largest number \(\mathcal N(d)\) of \(d\)-level parties that admit an absolutely maximally entangled state of minimal computational-basis support.
Unsolved
Existence of an eight-ququart perfect tensor
Does an absolutely maximally entangled state of eight ququarts exist?
Unsolved
Tough error models
Determine \(c(e,n)\) and construct tough error models in the sense of [KW05].
- Quantum Error Correction
- Quantum coding theory
Unsolved
Three-dimensional self-correcting quantum memory
Does there exist a passive self-correcting quantum memory in three spatial dimensions?
Unsolved
Capacity-achieving codes for amplitude damping
What is the constructive quantum code for achieving the quantum capacity \(\mathcal{Q}(\mathcal A_p)\) of the qubit amplitude-damping channel
Solved