Logarithmic qubit encoding with Gray-code measurements reduces volumetric cost of variational simulation for single-particle solid-state Hamiltonians from N^2 to (log N)^3.
To this end, the qubits are arranged in a cyclic structure as shown in the Fig
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Efficient implementation of single particle Hamiltonians in exponentially reduced qubit space
Logarithmic qubit encoding with Gray-code measurements reduces volumetric cost of variational simulation for single-particle solid-state Hamiltonians from N^2 to (log N)^3.