Reducing the qubit requirement of Jordan-Wigner encodings of $N$-mode, $K$-fermion systems from $N$ to $\lceil {\log }_2\left(\genfrac{}{}{0ex}{}{N}{K}\right)\rceil$

Brent Harrison, Dylan Nelson, Daniel Adamiak +1

To simulate a fermionic system on a quantum computer, it is necessary to encode the state of the fermions onto qubits. Fermion-to-qubit mappings such as the Jordan-Wigner and Bravy…