69 citations · 69 across the 4 of their papers we have counts for
5 papers · 1 filter
Quantum-Channel Matrix Optimization for Holevo Bound Enhancement
Hong Niu, Chau Yuen, Alexei Ashikhmin +1
Quantum communication holds the potential to revolutionize information transmission by enabling secure data exchange that exceeds the limits of classical systems. One of the key pe…
Transversal Toffoli-gate in Hybrid-code System
Dawei Jiao, Mahdi Bayanifar, Alexei Ashikhmin +1
We study the transversality of the Toffoli gate in a hybrid-code system that employs two quantum error correction codes with special structure. We find that a system using a triort…
Low Overhead Universal Quantum Computation with Triorthogonal Codes
Dawei Jiao, Mahdi Bayanifar, Alexei Ashikhmin +1
We study the use of triorthogonal codes for universal fault-tolerant quantum computation and propose two methods to circumvent the Eastin-Knill theorem, which prohibits any single…
On Transversality Across Two Distinct Quantum Error Correction Codes For Quantum Repeaters
Mahdi Bayanifar, Alexei Ashikhmin, Dawei Jiao +1
In this paper, we investigate the transversality of pairs of CSS codes and their use in the second generation of quantum repeaters (QR)s. We show that different stations of quantum…
Introduction to Quantum Error Correction
E. Knill, R. Laflamme, A. Ashikhmin +3
In this introduction we motivate and explain the ``decoding'' and ``subsystems'' view of quantum error correction. We explain how quantum noise in QIP can be described and classifi…