Murphy Yuezhen Niu, Lior Horesh, et al.
QIP 2020
We present a method for encoding second-quantized fermionic systems in qubits when the number of fermions is conserved, as in the electronic structure problem. When the number F of fermions is much smaller than the number M of modes, this symmetry reduces the number of information-theoretically required qubits from Θ(M) to O(FlogM). In this limit, our encoding requires O(F2log4M) qubits, while encoded fermionic creation and annihilation operators have cost O(F2log5M) in two-qubit gates. When incorporated into randomized simulation methods, this permits simulating time evolution with only polylogarithmic explicit dependence on M. This is the first second-quantized encoding of fermions in qubits whose costs in qubits and gates are both polylogarithmic in M, which permits studying fermionic systems in the high-accuracy regime of many modes.
Murphy Yuezhen Niu, Lior Horesh, et al.
QIP 2020
Tanvi Gujarati, Nam Nguyen, et al.
ACS Fall 2024
Monit Sharma, Yan Jin, et al.
QCE 2024
Stefano Mensa, Emre Sahin, et al.
Machine Learning: Science and Tech.