4 papers · 1 filter
Bounds in the Projective Unitary Group with Respect to Global Phase Invariant Metric
Bhanu Pratap Yadav, Mahdi Bayanifar, Olav Tirkkonen
We consider a global phase-invariant metric in the projective unitary group PUn, relevant for universal quantum computing. We obtain the volume and measure of small metric ball in…
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…