6 papers · 1 filter
Optimal fermion-qubit mappings via quadratic assignment
Mitchell Chiew, Cameron Ibrahim, Ilya Safro +1
Simulation of fermionic systems is one of the most promising applications of quantum computers. It spans problems in quantum chemistry, high-energy physics and condensed matter. Un…
Putting fermions onto a digital quantum computer
Riley W. Chien, Mitchell L. Chiew, Brent Harrison +8
Quantum computers are expected to become a powerful tool for studying physical quantum systems. Consequently, a number of quantum algorithms for studying the physical properties of…
Classical simulation of parity-preserving quantum circuits
Carolin Wille, Sergii Strelchuk
We present a classical simulation method for fermionic quantum systems which, without loss of generality, can be represented by parity-preserving circuits made of two-qubit gates i…
Ternary tree transformations are equivalent to linear encodings of the Fock basis
Mitchell Chiew, Brent Harrison, Sergii Strelchuk
We consider two approaches to designing fermion-qubit mappings: (1) ternary tree transformations, which use Pauli representations of the Majorana operators that correspond to root-…
A Sierpinski Triangle Fermion-to-Qubit Transform
Brent Harrison, Mitchell Chiew, Jason Necaise +3
In order to simulate a system of fermions on a quantum computer, it is necessary to represent the fermionic states and operators on qubits. This can be accomplished in multiple way…
James-Stein Estimation in Quantum Gaussian Sensing
Wilfred Salmon, Sergii Strelchuk, David Arvidsson-Shukur
The James-Stein estimator is a biased estimator -- for a finite number of samples its expected value is not the true mean. The maximum-likelihood estimator (MLE), is unbiased and a…