Qudits and high-dimensional quantum computing

Y Wang, Z Hu, BC Sanders, S Kais - Frontiers in Physics, 2020 - frontiersin.org
Qudit is a multi-level computational unit alternative to the conventional 2-level qubit.
Compared to qubit, qudit provides a larger state space to store and process information, and …

Contextuality supplies the 'magic'for quantum computation

M Howard, J Wallman, V Veitch, J Emerson - Nature, 2014 - nature.com
Quantum computers promise dramatic advantages over their classical counterparts, but the
source of the power in quantum computing has remained elusive. Here we prove a …

Application of a resource theory for magic states to fault-tolerant quantum computing

M Howard, E Campbell - Physical review letters, 2017 - APS
Motivated by their necessity for most fault-tolerant quantum computation schemes, we
formulate a resource theory for magic states. First, we show that robustness of magic is a …

Negative quasi-probability as a resource for quantum computation

V Veitch, C Ferrie, D Gross, J Emerson - New Journal of Physics, 2012 - iopscience.iop.org
A central problem in quantum information is to determine the minimal physical resources
that are required for quantum computational speed-up and, in particular, for fault-tolerant …

Magic-state distillation in all prime dimensions using quantum reed-muller codes

ET Campbell, H Anwar, DE Browne - Physical Review X, 2012 - APS
We propose families of protocols for magic-state distillation—important components of fault-
tolerance schemes—for systems of odd prime dimension. Our protocols utilize quantum …

Enhanced Fault-Tolerant Quantum Computing in -Level Systems

ET Campbell - Physical review letters, 2014 - APS
Error-correcting codes protect quantum information and form the basis of fault-tolerant
quantum computing. Leading proposals for fault-tolerant quantum computation require …

Unified framework for magic state distillation and multiqubit gate synthesis with reduced resource cost

ET Campbell, M Howard - Physical Review A, 2017 - APS
The standard approach to fault-tolerant quantum computation is to store information in a
quantum error correction code, such as the surface code, and process information using a …

Uniqueness of noncontextual models for stabilizer subtheories

D Schmid, H Du, JH Selby, MF Pusey - Physical Review Letters, 2022 - APS
We give a complete characterization of the (non) classicality of all stabilizer subtheories.
First, we prove that there is a unique nonnegative and diagram-preserving quasiprobability …

Quantum optimal control of ten-level nuclear spin qudits in

S Omanakuttan, A Mitra, MJ Martin, IH Deutsch - Physical Review A, 2021 - APS
We study the ability to implement unitary maps on states of the I= 9/2 nuclear spin in Sr 87,
ad= 10 dimensional (qudecimal) Hilbert space, using quantum optimal control. Through a …

Qudit versions of the qubit gate

M Howard, J Vala - Physical Review A—Atomic, Molecular, and Optical …, 2012 - APS
When visualized as an operation on the Bloch sphere, the qubit π/8 gate corresponds to 1/8
of a complete rotation about the vertical axis. This simple gate often plays an important role …