Topic
Quantum coding theory
7 records: 6 unsolved, 1 solved. Filter the catalog by this topic →
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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?
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Tough error models
Determine \(c(e,n)\) and construct tough error models in the sense of [KW05].
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