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 algorithms for algebraic problems

AM Childs, W Van Dam - Reviews of Modern Physics, 2010 - APS
Quantum computers can execute algorithms that dramatically outperform classical
computation. As the best-known example, Shor discovered an efficient quantum algorithm …

Encoding a qubit in an oscillator

D Gottesman, A Kitaev, J Preskill - Physical Review A, 2001 - APS
Quantum error-correcting codes are constructed that embed a finite-dimensional code space
in the infinite-dimensional Hilbert space of a system described by continuous quantum …

Measurement-based quantum computation on cluster states

R Raussendorf, DE Browne, HJ Briegel - Physical review A, 2003 - APS
We give a detailed account of the one-way quantum computer, a scheme of quantum
computation that consists entirely of one-qubit measurements on a particular class of …

[PDF][PDF] Fault-tolerant quantum computation with constant error

D Aharonov, M Ben-Or - Proceedings of the twenty-ninth annual ACM …, 1997 - dl.acm.org
In the past year many developments have taken place in the area of quantum error
corrections. Recently Shor showed how to perform fault tolerant quantum computation …

Universal computation by quantum walk

AM Childs - Physical review letters, 2009 - APS
In some of the earliest work on quantum computing, Feynman showed how to implement
universal quantum computation with a time-independent Hamiltonian. I show that this …

Magic-state distillation with low overhead

S Bravyi, J Haah - Physical Review A—Atomic, Molecular, and Optical …, 2012 - APS
We propose a family of error-detecting stabilizer codes with an encoding rate of 1/3 that
permit a transversal implementation of the gate T= exp (− i π Z/8) on all logical qubits. These …

Detecting a Majorana-fermion zero mode using a quantum dot

DE Liu, HU Baranger - Physical Review B—Condensed Matter and Materials …, 2011 - APS
We propose an experimental setup for detecting a Majorana zero mode consisting of a
spinless quantum dot coupled to the end of ap-wave superconducting nanowire. The …

Both Toffoli and controlled-NOT need little help to do universal quantum computation

Y Shi - arXiv preprint quant-ph/0205115, 2002 - arxiv.org
What additional gates are needed for a set of classical universal gates to do universal
quantum computation? We answer this question by proving that any single-qubit real gate …

Secure assisted quantum computation

AM Childs - arXiv preprint quant-ph/0111046, 2001 - arxiv.org
Suppose Alice wants to perform some computation that could be done quickly on a quantum
computer, but she cannot do universal quantum computation. Bob can do universal quantum …