Title
Asymptotic Improvements to Quantum Circuits via Qutrits.
Abstract
Quantum computation is traditionally expressed in terms of quantum bits, or qubits. In this work, we instead consider three-level qutrits. Past work with qutrits has demonstrated only constant factor improvements, owing to the log2(3) binary-to-ternary compression factor. We present a novel technique using qutrits to achieve a logarithmic depth (runtime) decomposition of the Generalized Toffoli gate using no ancilla-a significant improvement over linear depth for the best qubit-only equivalent. Our circuit construction also features a 70x improvement in two-qudit gate count over the qubit-only equivalent decomposition. This results in circuit cost reductions for important algorithms like quantum neurons and Grover search. We develop an open-source circuit simulator for qutrits, along with realistic near-term noise models which account for the cost of operating qutrits. Simulation results for these noise models indicate over 90% mean reliability (fidelity) for our circuit construction, versus under 30% for the qubit-only baseline. These results suggest that qutrits offer a promising path towards scaling quantum computation.
Year
DOI
Venue
2019
10.1145/3307650.3322253
Proceedings of the 46th International Symposium on Computer Architecture
Keywords
DocType
Volume
quantum computing, quantum information, qutrits
Conference
abs/1905.10481
ISSN
ISBN
Citations 
1063-6897
978-1-4503-6669-4
3
PageRank 
References 
Authors
0.45
15
6
Name
Order
Citations
PageRank
Pranav Gokhale1274.44
Jonathan M. Baker252.54
Casey Duckering383.00
Natalie C. Brown441.15
Kenneth R. Brown5296.08
Frederic T. Chong61428130.07