76 citations · 113 across the 11 of their papers we have counts for
11 papers
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…
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…
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…
Provable Advantage in Quantum PAC Learning
Wilfred Salmon, Sergii Strelchuk, Tom Gur
We revisit the problem of characterising the complexity of Quantum PAC learning, as introduced by Bshouty and Jackson [SIAM J. Comput. 1998, 28, 1136-1153]. Several quantum advanta…
Ultrafast Hybrid Fermion-to-Qubit mapping
Oliver O'Brien, Sergii Strelchuk
Fermion-to-qubit mappings play a crucial role in representing fermionic interactions on a quantum computer. Efficient mappings translate fermionic modes of a system to qubit intera…
Only Classical Parameterised States have Optimal Measurements under Least Squares Loss
Wilfred Salmon, Sergii Strelchuk, David Arvidsson-Shukur
Measurements of quantum states form a key component in quantum-information processing. It is therefore an important task to compare measurements and furthermore decide if a measure…
Discovering optimal fermion-qubit mappings through algorithmic enumeration
Mitchell Chiew, Sergii Strelchuk
Simulating fermionic systems on a quantum computer requires a high-performing mapping of fermionic states to qubits. A characteristic of an efficient mapping is its ability to tran…
Learning hard quantum distributions with variational autoencoders
Andrea Rocchetto, Edward Grant, Sergii Strelchuk +2
Studying general quantum many-body systems is one of the major challenges in modern physics because it requires an amount of computational resources that scales exponentially with…