Exponential learning advantages with conjugate states and minimal quantum memory

R King, K Wan, JR McClean - PRX Quantum, 2024 - APS
The ability of quantum computers to directly manipulate and analyze quantum states stored
in quantum memory allows them to learn about aspects of our physical world that would …

Deeply inelastic scattering structure functions on a hybrid quantum computer

N Mueller, A Tarasov, R Venugopalan - Physical Review D, 2020 - APS
We outline a strategy to compute deeply inelastic scattering structure functions using a
hybrid quantum computer. Our approach takes advantage of the representation of the …

Discrete Wigner formalism for qubits and noncontextuality of Clifford gates on qubit stabilizer states

L Kocia, P Love - Physical Review A, 2017 - APS
We show that qubit stabilizer states can be represented by non-negative quasiprobability
distributions associated with a Wigner-Weyl-Moyal formalism where Clifford gates are …

Extending Classically Simulatable Bounds of Clifford Circuits with Nonstabilizer States via Framed Wigner Functions

G Park, H Kwon, H Jeong - Physical Review Letters, 2024 - APS
The Wigner function formalism has played a pivotal role in examining the nonclassical
aspects of quantum states and their classical simulatability. Nevertheless, its application in …

Stationary phase method in discrete Wigner functions and classical simulation of quantum circuits

L Kocia, P Love - Quantum, 2021 - quantum-journal.org
One of the lowest-order corrections to Gaussian quantum mechanics in infinite-dimensional
Hilbert spaces are Airy functions: a uniformization of the stationary phase method applied in …

Measurement contextuality and Planck's constant

L Kocia, P Love - New Journal of Physics, 2018 - iopscience.iop.org
Contextuality is a necessary resource for universal quantum computation and non-
contextual quantum mechanics can be simulated efficiently by classical computers in many …

Wigner negativity on the sphere

J Davis - 2023 - uwspace.uwaterloo.ca
The rise of quantum information theory has largely vindicated the long-held belief that
Wigner negativity is an indicator of genuine nonclassicality in quantum systems. This thesis …