Entangled states, holography, and quantum surfaces

Abstract

Starting with an elementary discussion of quantum holography, we show that entangled quantum states of qubits provide a “local” representation of the global geometry and topology of quantum Riemann surfaces. This representation may play an important role in both mathematics and physics. Indeed, the simplest way to represent the fundamental objects in a “theory of everything” may be as multi-qubit entangled states.