Synthesis of CNOT-Dihedral circuits with optimal number of two qubit gates
In this note we present explicit canonical forms for all the elements in the two-qubit CNOT-Dihedral group, with minimal numbers of controlled-$S$ ($CS$) and controlled-$X$ ($CX$) gates, using the generating set of quantum gates $[X, T, CX, CS]$. We provide an algorithm to successively construct the...
Main Authors: | Shelly Garion, Andrew W. Cross |
---|---|
Format: | Article |
Language: | English |
Published: |
Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
2020-12-01
|
Series: | Quantum |
Online Access: | https://quantum-journal.org/papers/q-2020-12-07-369/pdf/ |
Similar Items
-
Holonomic implementation of CNOT gate on topological Majorana qubits
by: Alessio Calzona, Nicolas P. Bauer, Björn Trauzettel
Published: (2020-12-01) -
A CNOT gate between multiphoton qubits encoded in two cavities
by: S. Rosenblum, et al.
Published: (2018-02-01) -
A Finite Presentation of CNOT-Dihedral Operators
by: Matthew Amy, et al.
Published: (2018-02-01) -
Sampling-based Optimal Control Method for CNOT Gates of Donor Electron Spin qubits in Silicon
by: Jing-Yu Xu, et al.
Published: (2019) -
Optimal Control of CNOT gate
by: Dung-Bang Tsai, et al.
Published: (2008)