Qudits and high-dimensional quantum computing
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 …
Compared to qubit, qudit provides a larger state space to store and process information, and …
Contextuality supplies the 'magic'for quantum computation
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 …
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 …
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
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 …
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
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 …
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 …
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 …
quantum error correction code, such as the surface code, and process information using a …
Uniqueness of noncontextual models for stabilizer subtheories
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 …
First, we prove that there is a unique nonnegative and diagram-preserving quasiprobability …
Quantum optimal control of ten-level nuclear spin qudits in
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 …
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 …
of a complete rotation about the vertical axis. This simple gate often plays an important role …