Holographic codes

Understand

There exists a remarkable four-qutrit state that carries absolute maximal entanglement in all its partitions.

• Employing this state, we construct a tensor network that delivers a holographic many body state, the H-code, where the physical properties of the boundary determine those of the bulk.
• This H-code is made of an even superposition of states whose relative Hamming distances are exponentially large with the size of the boundary.
• This property makes H-codes natural states for a quantum memory.