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 …

Quantum information with continuous variables

SL Braunstein, P Van Loock - Reviews of modern physics, 2005 - APS
Quantum information is a rapidly advancing area of interdisciplinary research. It may lead to
real-world applications for communication and computation unavailable without the …

Quantum machine learning in feature hilbert spaces

M Schuld, N Killoran - Physical review letters, 2019 - APS
A basic idea of quantum computing is surprisingly similar to that of kernel methods in
machine learning, namely, to efficiently perform computations in an intractably large Hilbert …

From the quantum approximate optimization algorithm to a quantum alternating operator ansatz

S Hadfield, Z Wang, B O'gorman, EG Rieffel… - Algorithms, 2019 - mdpi.com
The next few years will be exciting as prototype universal quantum processors emerge,
enabling the implementation of a wider variety of algorithms. Of particular interest are …

Quantum information processing with bosonic qubits in circuit QED

A Joshi, K Noh, YY Gao - Quantum Science and Technology, 2021 - iopscience.iop.org
The unique features of quantum theory offer a powerful new paradigm for information
processing. Translating these mathematical abstractions into useful algorithms and …

Quantum computation with optical coherent states

TC Ralph, A Gilchrist, GJ Milburn, WJ Munro, S Glancy - Physical Review A, 2003 - APS
Quantum computation with optical coherent states Page 1 Quantum computation with
optical coherent states TC Ralph,* A. Gilchrist, and GJ Milburn Centre for Quantum …

High-threshold fault-tolerant quantum computation with analog quantum error correction

K Fukui, A Tomita, A Okamoto, K Fujii - Physical review X, 2018 - APS
To implement fault-tolerant quantum computation with continuous variables, the Gottesman-
Kitaev-Preskill (GKP) qubit has been recognized as an important technological element …

Convex resource theory of non-Gaussianity

R Takagi, Q Zhuang - Physical Review A, 2018 - APS
Continuous-variable systems realized in quantum optics play a major role in quantum
information processing, and it is also one of the promising candidates for a scalable …

Practical trapped-ion protocols for universal qudit-based quantum computing

PJ Low, BM White, AA Cox, ML Day, C Senko - Physical Review Research, 2020 - APS
The notion of universal quantum computation can be generalized to multilevel qudits, which
offer advantages in resource usage and algorithmic efficiencies. Trapped ions, which are …

Discrete phase space based on finite fields

KS Gibbons, MJ Hoffman, WK Wootters - Physical Review A—Atomic …, 2004 - APS
The original Wigner function provides a way of representing in phase space the quantum
states of systems with continuous degrees of freedom. Wigner functions have also been …