Linear Depth Stabilizer and Quantum Fourier Transformation Circuits with no Auxiliary Qubits in Finite Neighbor Quantum Architectures
| dc.creator | Maslov, D. | |
| dc.date | 2007-03-22 | |
| dc.date | 2007-11-15 | |
| dc.date.accessioned | 2026-07-07T08:43:01Z | |
| dc.date.available | 2026-07-07T08:43:01Z | |
| dc.description | In this paper, we investigate how quantum architectures affect the efficiency of the execution of the quantum Fourier transform (QFT) and linear transformations, which are essential parts of the stabilizer/Clifford group circuits. In particular, we show that in most common and realistic physical architectures including the linear nearest neighbor, two-dimensional lattice, and bounded degree graph (containing a chain of length n), n-qubit QFT and n-qubit stabilizer circuits can be parallelized to linear depth using no auxiliary qubits. We construct lower bounds that show the efficiency of our approach. | |
| dc.description | 8 pages, 6 figures. Extended discussions, improved presentation | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0703211 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0703211 | |
| dc.identifier | Phys. Rev. A 76, 052310 (2007) | |
| dc.identifier | doi:10.1103/PhysRevA.76.052310 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/142172 | |
| dc.subject | Quantum Physics | |
| dc.title | Linear Depth Stabilizer and Quantum Fourier Transformation Circuits with no Auxiliary Qubits in Finite Neighbor Quantum Architectures | |
| dc.type | text |